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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xml:lang="en-US">Summary of Significant Accounting Policies [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_AccountingPoliciesAbstract_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AccountingChangesAndErrorCorrectionsAbstract_lbl" xml:lang="en-US">Impact of New Accounting Standards [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountingChangesAndErrorCorrectionsAbstract" xlink:to="us-gaap_AccountingChangesAndErrorCorrectionsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xml:lang="en-US">Transactions with Affiliates [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsAbstract" xlink:to="us-gaap_RelatedPartyTransactionsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xml:lang="en-US">Related and Nonrelated Parties [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ConsolidatedEntitiesAxis_lbl" xml:lang="en-US">Consolidated Entities [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ConsolidatedEntitiesAxis_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ProductOrServiceAxis_lbl" xml:lang="en-US">Product and Service [Axis]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="dgica_ReinsurancePremiumsEarned_lbl" xml:lang="en-US">Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReinsurancePremiumsEarned" xlink:to="dgica_ReinsurancePremiumsEarned_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ReinsurancePremiumsEarned_lbl0" xml:lang="en-US">Net premiums earned - affiliated reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReinsurancePremiumsEarned" xlink:to="dgica_ReinsurancePremiumsEarned_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PremiumsWrittenNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsWrittenNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_PremiumsWrittenNet_lbl" xml:lang="en-US">Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsWrittenNet" xlink:to="us-gaap_PremiumsWrittenNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract_lbl" xml:lang="en-US">Investments [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialInstrumentAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xml:lang="en-US">Financial Instrument [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_FinancialInstrumentAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl" xml:lang="en-US">Total held to maturity, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl0" xml:lang="en-US">Held to maturity, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl" xml:lang="en-US">Total held to maturity, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesFairValue_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl0" xml:lang="en-US">Held to maturity, fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesFairValue_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl1" xml:lang="en-US">Held to maturity, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesFairValue_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xml:lang="en-US">Total available for sale, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl0" xml:lang="en-US">Available for sale, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl1" xml:lang="en-US">Total available for sale, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xml:lang="en-US">Total available for sale, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl0" xml:lang="en-US">Available for sale, at fair value (amortized cost $650,370,011 and $652,564,965)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl1" xml:lang="en-US">Available for sale, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl2" xml:lang="en-US">Available for sale, at fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentTypeAxis_lbl" xml:lang="en-US">Investment Type [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentTypeAxis" xlink:to="us-gaap_InvestmentTypeAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetInvestmentIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetInvestmentIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_NetInvestmentIncome_lbl" xml:lang="en-US">Net investment income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetInvestmentIncome" xlink:to="us-gaap_NetInvestmentIncome_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetInvestmentIncome_lbl0" xml:lang="en-US">Investment income, net of investment expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetInvestmentIncome" xlink:to="us-gaap_NetInvestmentIncome_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_NetInvestmentIncome_lbl1" xml:lang="en-US">Net investment income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetInvestmentIncome" xlink:to="us-gaap_NetInvestmentIncome_lbl1"/>
    <loc xlink:type="locator" xlink:label="dgica_GrossRealizedGainLossOnInvestments" xlink:href="dgica-20251231.xsd#dgica_GrossRealizedGainLossOnInvestments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="dgica_GrossRealizedGainLossOnInvestments_lbl" xml:lang="en-US">Net realized (losses) gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedGainLossOnInvestments" xlink:to="dgica_GrossRealizedGainLossOnInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealizedInvestmentGainsLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedInvestmentGainsLosses"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_RealizedInvestmentGainsLosses_lbl" xml:lang="en-US">Net investment gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedInvestmentGainsLosses" xlink:to="us-gaap_RealizedInvestmentGainsLosses_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RealizedInvestmentGainsLosses_lbl0" xml:lang="en-US">Net investment gains (includes ($5,224,178), ($174,302) and ($2,242,190) accumulated other comprehensive income reclassification)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedInvestmentGainsLosses" xlink:to="us-gaap_RealizedInvestmentGainsLosses_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_RealizedInvestmentGainsLosses_lbl1" xml:lang="en-US">Net investment gains (losses)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedInvestmentGainsLosses" xlink:to="us-gaap_RealizedInvestmentGainsLosses_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_RealizedInvestmentGainsLosses_lbl2" xml:lang="en-US">Net investment gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedInvestmentGainsLosses" xlink:to="us-gaap_RealizedInvestmentGainsLosses_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_RealizedInvestmentGainsLosses_lbl3" xml:lang="en-US">Investment gains (losses)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedInvestmentGainsLosses" xlink:to="us-gaap_RealizedInvestmentGainsLosses_lbl3"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xml:lang="en-US">Fair Value Measurements [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueDisclosuresAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xml:lang="en-US">Measurement Frequency [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueByMeasurementFrequencyAxis" xlink:to="us-gaap_FairValueByMeasurementFrequencyAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostsDisclosuresAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsDisclosuresAbstract_lbl" xml:lang="en-US">Deferred Policy Acquisition Costs [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostsDisclosuresAbstract" xlink:to="us-gaap_DeferredPolicyAcquisitionCostsDisclosuresAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCosts_lbl" xml:lang="en-US">Beginning Balance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCosts" xlink:to="us-gaap_DeferredPolicyAcquisitionCosts_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCosts_lbl0" xml:lang="en-US">Ending Balance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCosts" xlink:to="us-gaap_DeferredPolicyAcquisitionCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCosts_lbl1" xml:lang="en-US">Deferred policy acquisition costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCosts" xlink:to="us-gaap_DeferredPolicyAcquisitionCosts_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xml:lang="en-US">Property and Equipment [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="us-gaap_PropertyPlantAndEquipmentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xml:lang="en-US">Long-Lived Tangible Asset [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xml:lang="en-US">Property and equipment, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl0" xml:lang="en-US">Property and equipment, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl1" xml:lang="en-US">Property and equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_lbl1"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_RangeAxis_lbl" xml:lang="en-US">Statistical Measurement [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_RangeAxis" xlink:to="srt_RangeAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_LiabilityForLossesAndLossExpensesAbstract" xlink:href="dgica-20251231.xsd#dgica_LiabilityForLossesAndLossExpensesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_LiabilityForLossesAndLossExpensesAbstract_lbl" xml:lang="en-US">Liability for Losses and Loss Expenses [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_LiabilityForLossesAndLossExpensesAbstract" xlink:to="dgica_LiabilityForLossesAndLossExpensesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl" xml:lang="en-US">Balance at January 1</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl0" xml:lang="en-US">Balance at December 31</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl1" xml:lang="en-US">Losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl2" xml:lang="en-US">Unallocated loss adjustment expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:label="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl" xml:lang="en-US">Less reinsurance recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments" xlink:to="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl0" xml:lang="en-US">Plus reinsurance recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments" xlink:to="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_lbl" xml:lang="en-US">Net balance at January 1</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_lbl0" xml:lang="en-US">Net balance at December 31</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses" xlink:href="dgica-20251231.xsd#dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses_lbl" xml:lang="en-US">Net balance at January 1</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses" xlink:to="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_lbl" xml:lang="en-US">Total incurred</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForLossesAndLossAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForLossesAndLossAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_PaymentsForLossesAndLossAdjustmentExpense_lbl" xml:lang="en-US">Total paid</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForLossesAndLossAdjustmentExpense" xlink:to="us-gaap_PaymentsForLossesAndLossAdjustmentExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsAccidentYearAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsAccidentYearAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsAccidentYearAxis_lbl" xml:lang="en-US">Short-Duration Insurance Contracts, Accident Year [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsAccidentYearAxis" xlink:to="us-gaap_ShortdurationInsuranceContractsAccidentYearAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xml:lang="en-US">Borrowings [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtDisclosureAbstract" xlink:to="us-gaap_DebtDisclosureAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesOptionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FederalHomeLoanBankAdvancesOptionAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FederalHomeLoanBankAdvancesOptionAxis_lbl" xml:lang="en-US">Federal Home Loan Bank, Advances, Option [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FederalHomeLoanBankAdvancesOptionAxis" xlink:to="us-gaap_FederalHomeLoanBankAdvancesOptionAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PledgedStatusAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PledgedStatusAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PledgedStatusAxis_lbl" xml:lang="en-US">Pledged Status [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PledgedStatusAxis" xlink:to="us-gaap_PledgedStatusAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceDisclosuresAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ReinsuranceDisclosuresAbstract_lbl" xml:lang="en-US">Reinsurance [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceDisclosuresAbstract" xlink:to="us-gaap_ReinsuranceDisclosuresAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PremiumsEarnedNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsEarnedNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_PremiumsEarnedNet_lbl" xml:lang="en-US">Net premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsEarnedNet" xlink:to="us-gaap_PremiumsEarnedNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PremiumsEarnedNet_lbl0" xml:lang="en-US">Net premiums earned (includes affiliated reinsurance of $244,601,249, $239,521,005 and $237,903,029 - see note 3)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsEarnedNet" xlink:to="us-gaap_PremiumsEarnedNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PremiumsEarnedNet_lbl1" xml:lang="en-US">Net premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsEarnedNet" xlink:to="us-gaap_PremiumsEarnedNet_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xml:lang="en-US">Income Taxes [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxDisclosureAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation_lbl" xml:lang="en-US">Total income tax expense included in the consolidated financial statements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation" xlink:to="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xml:lang="en-US">Income tax expense, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefit" xlink:to="us-gaap_IncomeTaxExpenseBenefit_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl0" xml:lang="en-US">Income tax expense (includes $1,097,077, $36,603 and $470,860 income tax benefit from reclassification items)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefit" xlink:to="us-gaap_IncomeTaxExpenseBenefit_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl1" xml:lang="en-US">Income tax expense (benefit)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefit" xlink:to="us-gaap_IncomeTaxExpenseBenefit_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl2" xml:lang="en-US">Income tax benefit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefit" xlink:to="us-gaap_IncomeTaxExpenseBenefit_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xml:lang="en-US">Income tax expense, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:to="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxesPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xml:lang="en-US">Total</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxesPaidNet" xlink:to="us-gaap_IncomeTaxesPaidNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsGross" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xml:lang="en-US">Total gross deferred tax assets</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsNet" xlink:to="us-gaap_DeferredTaxAssetsNet_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xml:lang="en-US">Total gross deferred tax liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredIncomeTaxLiabilities" xlink:to="us-gaap_DeferredIncomeTaxLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsLiabilitiesNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xml:lang="en-US">Net deferred tax asset</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:to="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityNoteAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockholdersEquityNoteAbstract_lbl" xml:lang="en-US">Stockholders&apos; Equity [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityNoteAbstract" xlink:to="us-gaap_StockholdersEquityNoteAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl" xml:lang="en-US">Stock Compensation Plans [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xml:lang="en-US">Outstanding beginning balance (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl0" xml:lang="en-US">Outstanding ending balance (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xml:lang="en-US">Outstanding beginning balance (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl0" xml:lang="en-US">Outstanding ending balance (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AwardDateAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AwardDateAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AwardDateAxis_lbl" xml:lang="en-US">Award Date [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AwardDateAxis" xlink:to="us-gaap_AwardDateAxis_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PlanNameAxis_lbl" xml:lang="en-US">Plan Name [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PlanNameAxis" xlink:to="us-gaap_PlanNameAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquityAbstract_lbl" xml:lang="en-US">Statutory Net Income, Capital and Surplus and Dividend Restrictions [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityAbstract" xlink:to="us-gaap_EquityAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatutoryAccountingPracticesByJurisdictionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatutoryAccountingPracticesByJurisdictionAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatutoryAccountingPracticesByJurisdictionAxis_lbl" xml:lang="en-US">Statutory Accounting Practice, Jurisdiction [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesByJurisdictionAxis" xlink:to="us-gaap_StatutoryAccountingPracticesByJurisdictionAxis_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsAbstract_lbl" xml:lang="en-US">Reconciliation of Statutory Filings to Amounts Reported in the Consolidated Financial Statements [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsAbstract" xlink:to="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xml:lang="en-US">Earnings Per Share [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_EarningsPerShareAbstract_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xml:lang="en-US">Number of shares used in diluted computation (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:to="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl0" xml:lang="en-US">Number of shares used in diluted computation (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:to="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl0"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract_lbl" xml:lang="en-US">Condensed Financial Information of Parent Company [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments" xlink:href="dgica-20251231.xsd#dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments" xlink:to="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:to="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Cash" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Cash"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_Cash_lbl" xml:lang="en-US">Cash at beginning of year</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Cash" xlink:to="us-gaap_Cash_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_Cash_lbl0" xml:lang="en-US">Cash at end of year</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Cash" xlink:to="us-gaap_Cash_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_Cash_lbl1" xml:lang="en-US">Cash</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Cash" xlink:to="us-gaap_Cash_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SegmentReportingAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xml:lang="en-US">Segment Information [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentReportingAbstract" xlink:to="us-gaap_SegmentReportingAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_SegmentReportingRevenues" xlink:href="dgica-20251231.xsd#dgica_SegmentReportingRevenues"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="dgica_SegmentReportingRevenues_lbl" xml:lang="en-US">Total segment revenues</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SegmentReportingRevenues" xlink:to="dgica_SegmentReportingRevenues_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnderwritingIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnderwritingIncomeLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="us-gaap_UnderwritingIncomeLoss_lbl" xml:lang="en-US">GAAP underwriting income (loss)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UnderwritingIncomeLoss" xlink:to="us-gaap_UnderwritingIncomeLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidationItemsAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ConsolidationItemsAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ConsolidationItemsAxis_lbl" xml:lang="en-US">Consolidation Items [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ConsolidationItemsAxis" xlink:to="srt_ConsolidationItemsAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementBusinessSegmentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementBusinessSegmentsAxis_lbl" xml:lang="en-US">Segments [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementBusinessSegmentsAxis" xlink:to="us-gaap_StatementBusinessSegmentsAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InsuranceAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InsuranceAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InsuranceAbstract_lbl" xml:lang="en-US">Guaranty Fund and Other Insurance-Related Assessments [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InsuranceAbstract" xlink:to="us-gaap_InsuranceAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AllowanceForCreditLossAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AllowanceForCreditLossAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AllowanceForCreditLossAbstract_lbl" xml:lang="en-US">Allowance for Expected Credit Losses [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AllowanceForCreditLossAbstract" xlink:to="us-gaap_AllowanceForCreditLossAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_HeldToMaturitySecurities_lbl" xml:lang="en-US">Balance at beginning of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecurities" xlink:to="us-gaap_HeldToMaturitySecurities_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_HeldToMaturitySecurities_lbl0" xml:lang="en-US">Balance at end of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecurities" xlink:to="us-gaap_HeldToMaturitySecurities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecurities_lbl1" xml:lang="en-US">Held to maturity, at amortized cost (fair value $731,659,323 and $631,568,929; net of allowance for expected credit losses of $1,312,903 and $1,388,240)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecurities" xlink:to="us-gaap_HeldToMaturitySecurities_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_HeldToMaturitySecurities_lbl2" xml:lang="en-US">Held to maturity, carrying value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecurities" xlink:to="us-gaap_HeldToMaturitySecurities_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl" xml:lang="en-US">Balance at beginning of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl0" xml:lang="en-US">Balance at end of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl1" xml:lang="en-US">Held to maturity, allowance for expected credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl2" xml:lang="en-US">Held to maturity, allowance for credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl" xml:lang="en-US">Balance at beginning of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses" xlink:to="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl0" xml:lang="en-US">Balance at end of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses" xlink:to="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl1" xml:lang="en-US">Reinsurance receivable (net of allowance for expected credit losses of $374,883 and $391,432)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses" xlink:to="us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverablesAllowance" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverablesAllowance"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_ReinsuranceRecoverablesAllowance_lbl" xml:lang="en-US">Balance at beginning of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesAllowance" xlink:to="us-gaap_ReinsuranceRecoverablesAllowance_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_ReinsuranceRecoverablesAllowance_lbl0" xml:lang="en-US">Balance at end of period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesAllowance" xlink:to="us-gaap_ReinsuranceRecoverablesAllowance_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRecoverablesAllowance_lbl1" xml:lang="en-US">Reinsurance receivable, allowance for expected credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesAllowance" xlink:to="us-gaap_ReinsuranceRecoverablesAllowance_lbl1"/>
    <loc xlink:type="locator" xlink:label="srt_SupplementaryInsuranceInformationAbstract" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SupplementaryInsuranceInformationAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_SupplementaryInsuranceInformationAbstract_lbl" xml:lang="en-US">SCHEDULE III - SUPPLEMENTARY INSURANCE INFORMATION [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_SupplementaryInsuranceInformationAbstract" xlink:to="srt_SupplementaryInsuranceInformationAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_FixedMaturitiesInvestmentsAbstract" xlink:href="dgica-20251231.xsd#dgica_FixedMaturitiesInvestmentsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_FixedMaturitiesInvestmentsAbstract_lbl" xml:lang="en-US">Fixed maturities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_FixedMaturitiesInvestmentsAbstract" xlink:to="dgica_FixedMaturitiesInvestmentsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent_lbl" xml:lang="en-US">Equity securities, at fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:to="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent_lbl0" xml:lang="en-US">Estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:to="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_ShortTermInvestmentsAtCost" xlink:href="dgica-20251231.xsd#dgica_ShortTermInvestmentsAtCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ShortTermInvestmentsAtCost_lbl" xml:lang="en-US">Short-term investments, at cost, which approximates fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShortTermInvestmentsAtCost" xlink:to="dgica_ShortTermInvestmentsAtCost_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="dgica_ShortTermInvestmentsAtCost_lbl0" xml:lang="en-US">Short-term investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShortTermInvestmentsAtCost" xlink:to="dgica_ShortTermInvestmentsAtCost_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccruedInvestmentIncomeReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedInvestmentIncomeReceivable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccruedInvestmentIncomeReceivable_lbl" xml:lang="en-US">Accrued investment income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccruedInvestmentIncomeReceivable" xlink:to="us-gaap_AccruedInvestmentIncomeReceivable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PremiumsReceivableAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsReceivableAtCarryingValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PremiumsReceivableAtCarryingValue_lbl" xml:lang="en-US">Premiums receivable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsReceivableAtCarryingValue" xlink:to="us-gaap_PremiumsReceivableAtCarryingValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxAssetsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredIncomeTaxAssetsNet_lbl" xml:lang="en-US">Deferred tax asset, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredIncomeTaxAssetsNet" xlink:to="us-gaap_DeferredIncomeTaxAssetsNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PrepaidReinsurancePremiums" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidReinsurancePremiums"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PrepaidReinsurancePremiums_lbl" xml:lang="en-US">Prepaid reinsurance premiums</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PrepaidReinsurancePremiums" xlink:to="us-gaap_PrepaidReinsurancePremiums_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsReceivableFromSecuritization" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsReceivableFromSecuritization"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccountsReceivableFromSecuritization_lbl" xml:lang="en-US">Accounts receivable - securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountsReceivableFromSecuritization" xlink:to="us-gaap_AccountsReceivableFromSecuritization_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReceivable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReceivable_lbl" xml:lang="en-US">Federal income taxes recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReceivable" xlink:to="us-gaap_IncomeTaxReceivable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherReceivables" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherReceivables"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherReceivables_lbl" xml:lang="en-US">Due from affiliate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherReceivables" xlink:to="us-gaap_OtherReceivables_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Goodwill" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Goodwill"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_Goodwill_lbl" xml:lang="en-US">Goodwill</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Goodwill" xlink:to="us-gaap_Goodwill_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xml:lang="en-US">Other intangible assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IntangibleAssetsNetExcludingGoodwill" xlink:to="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherAssets_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherAssets" xlink:to="us-gaap_OtherAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xml:lang="en-US">Liabilities and Stockholders&#8217; Equity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xml:lang="en-US">Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilitiesAbstract" xlink:to="us-gaap_LiabilitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnearnedPremiums" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnearnedPremiums"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_UnearnedPremiums_lbl" xml:lang="en-US">Unearned premiums</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UnearnedPremiums" xlink:to="us-gaap_UnearnedPremiums_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedLiabilitiesCurrentAndNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_lbl" xml:lang="en-US">Accrued expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent" xlink:to="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsurancePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsurancePayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsurancePayable_lbl" xml:lang="en-US">Reinsurance balances payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsurancePayable" xlink:to="us-gaap_ReinsurancePayable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCredit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LineOfCredit_lbl" xml:lang="en-US">Borrowings under lines of credit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCredit" xlink:to="us-gaap_LineOfCredit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsPayableCurrentAndNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DividendsPayableCurrentAndNoncurrent_lbl" xml:lang="en-US">Cash dividends declared to stockholders</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:to="us-gaap_DividendsPayableCurrentAndNoncurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxesPayableCurrentAndNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TaxesPayableCurrentAndNoncurrent_lbl" xml:lang="en-US">Federal income taxes payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:to="us-gaap_TaxesPayableCurrentAndNoncurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherLiabilities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherLiabilities_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherLiabilities" xlink:to="us-gaap_OtherLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xml:lang="en-US">Stockholders&#8217; Equity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_StockholdersEquityAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockValue_lbl" xml:lang="en-US">Preferred stock, $.01 par value, authorized 2,000,000 shares; none issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockValue" xlink:to="us-gaap_PreferredStockValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockParOrStatedValuePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xml:lang="en-US">Preferred stock, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockParOrStatedValuePerShare" xlink:to="us-gaap_PreferredStockParOrStatedValuePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockSharesAuthorized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xml:lang="en-US">Preferred stock, shares authorized (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesAuthorized" xlink:to="us-gaap_PreferredStockSharesAuthorized_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockSharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xml:lang="en-US">Preferred stock, shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesIssued" xlink:to="us-gaap_PreferredStockSharesIssued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockValue_lbl" xml:lang="en-US">Common stock value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockValue" xlink:to="us-gaap_CommonStockValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xml:lang="en-US">Common stock, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="us-gaap_CommonStockParOrStatedValuePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xml:lang="en-US">Common stock, shares authorized (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesAuthorized" xlink:to="us-gaap_CommonStockSharesAuthorized_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xml:lang="en-US">Common stock, shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesIssued" xlink:to="us-gaap_CommonStockSharesIssued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xml:lang="en-US">Common stock, shares outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesOutstanding" xlink:to="us-gaap_CommonStockSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xml:lang="en-US">Additional paid-in capital</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdditionalPaidInCapital" xlink:to="us-gaap_AdditionalPaidInCapital_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xml:lang="en-US">Accumulated other comprehensive loss</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xml:lang="en-US">Retained earnings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsAccumulatedDeficit" xlink:to="us-gaap_RetainedEarningsAccumulatedDeficit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RevenuesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenuesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RevenuesAbstract_lbl" xml:lang="en-US">Revenues</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RevenuesAbstract" xlink:to="us-gaap_RevenuesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_RevenuesAbstract_lbl0" xml:lang="en-US">Revenues:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RevenuesAbstract" xlink:to="us-gaap_RevenuesAbstract_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InsuranceCommissionsAndFees" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InsuranceCommissionsAndFees"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InsuranceCommissionsAndFees_lbl" xml:lang="en-US">Installment payment fees</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InsuranceCommissionsAndFees" xlink:to="us-gaap_InsuranceCommissionsAndFees_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseLeaseIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLeaseIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OperatingLeaseLeaseIncome_lbl" xml:lang="en-US">Lease income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLeaseLeaseIncome" xlink:to="us-gaap_OperatingLeaseLeaseIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BenefitsLossesAndExpensesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BenefitsLossesAndExpensesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_BenefitsLossesAndExpensesAbstract_lbl" xml:lang="en-US">Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BenefitsLossesAndExpensesAbstract" xlink:to="us-gaap_BenefitsLossesAndExpensesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl" xml:lang="en-US">Net losses and loss expenses (includes affiliated reinsurance of $140,294,717, $136,662,558 and $150,198,479 - see note 3)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet" xlink:to="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl0" xml:lang="en-US">Net losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet" xlink:to="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceCostsAndRecoveriesNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceCostsAndRecoveriesNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceCostsAndRecoveriesNet_lbl" xml:lang="en-US">Net losses and loss expenses - affiliated reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceCostsAndRecoveriesNet" xlink:to="us-gaap_ReinsuranceCostsAndRecoveriesNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_ReinsuranceCostsAndRecoveriesNet_lbl0" xml:lang="en-US">Losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceCostsAndRecoveriesNet" xlink:to="us-gaap_ReinsuranceCostsAndRecoveriesNet_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_lbl" xml:lang="en-US">Amortization of deferred policy acquisition costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense" xlink:to="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_lbl0" xml:lang="en-US">Amortization charged to earnings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense" xlink:to="us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherUnderwritingExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherUnderwritingExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherUnderwritingExpense_lbl" xml:lang="en-US">Other underwriting expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherUnderwritingExpense" xlink:to="us-gaap_OtherUnderwritingExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PolicyholderDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderDividends"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PolicyholderDividends_lbl" xml:lang="en-US">Policyholder dividends</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PolicyholderDividends" xlink:to="us-gaap_PolicyholderDividends_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InterestExpense_lbl" xml:lang="en-US">Interest</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestExpense" xlink:to="us-gaap_InterestExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherCostAndExpenseOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCostAndExpenseOperating"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherCostAndExpenseOperating_lbl" xml:lang="en-US">Other, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherCostAndExpenseOperating" xlink:to="us-gaap_OtherCostAndExpenseOperating_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasicAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareBasicAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareBasicAbstract_lbl" xml:lang="en-US">Basic earnings per common share:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasicAbstract" xlink:to="us-gaap_EarningsPerShareBasicAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareBasic"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xml:lang="en-US">Basic (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasic" xlink:to="us-gaap_EarningsPerShareBasic_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EarningsPerShareBasic_lbl0" xml:lang="en-US">Basic earnings per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasic" xlink:to="us-gaap_EarningsPerShareBasic_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareDilutedAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareDilutedAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareDilutedAbstract_lbl" xml:lang="en-US">Diluted earnings per common share:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDilutedAbstract" xlink:to="us-gaap_EarningsPerShareDilutedAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareDiluted"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xml:lang="en-US">Diluted (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EarningsPerShareDiluted_lbl0" xml:lang="en-US">Diluted earnings per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl" xml:lang="en-US">Statements of Comprehensive Income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_lbl" xml:lang="en-US">Other comprehensive income, net of tax</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract_lbl" xml:lang="en-US">Unrealized gain on securities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl" xml:lang="en-US">Unrealized holding gain arising during the period, net of income tax expense of $4,196,548, $1,207,804 and $1,285,390</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl0" xml:lang="en-US">Unrealized gain - subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax_lbl" xml:lang="en-US">Income tax (benefit) expense on unrealized holding (loss) gain arising during the period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax_lbl" xml:lang="en-US">Income tax (benefit) expense on reclassification adjustment for losses (gains)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodValueNewIssues"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xml:lang="en-US">Issuance of common stock (stock compensation plans)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:to="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xml:lang="en-US">Issuance of common stock (stock compensation plans) (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_lbl" xml:lang="en-US">Stock-based compensation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink:to="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_lbl" xml:lang="en-US">Stock-based compensation (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:to="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl" xml:lang="en-US">Grant of stock options</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition" xlink:to="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax_lbl" xml:lang="en-US">Reclassification of held-to-maturity transfer</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Operating Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl0" xml:lang="en-US">Cash flows from operating activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xml:lang="en-US">Adjustments to reconcile net income to net cash provided by operating activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl0" xml:lang="en-US">Adjustments:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepreciationAndAmortization" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DepreciationAndAmortization"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xml:lang="en-US">Depreciation, amortization and other non-cash items</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DepreciationAndAmortization" xlink:to="us-gaap_DepreciationAndAmortization_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xml:lang="en-US">Changes in Assets and Liabilities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_lbl" xml:lang="en-US">Losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve" xlink:to="us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInUnearnedPremiums" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInUnearnedPremiums"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInUnearnedPremiums_lbl" xml:lang="en-US">Unearned premiums</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInUnearnedPremiums" xlink:to="us-gaap_IncreaseDecreaseInUnearnedPremiums_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilities_lbl" xml:lang="en-US">Accrued expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccruedLiabilities" xlink:to="us-gaap_IncreaseDecreaseInAccruedLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInReinsurancePayables" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInReinsurancePayables"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInReinsurancePayables_lbl" xml:lang="en-US">Reinsurance balances payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInReinsurancePayables" xlink:to="us-gaap_IncreaseDecreaseInReinsurancePayables_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_lbl" xml:lang="en-US">Current income taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:to="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Investing Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl0" xml:lang="en-US">Cash flows from investing activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_PurchasesOfFixedMaturitiesAbstract" xlink:href="dgica-20251231.xsd#dgica_PurchasesOfFixedMaturitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PurchasesOfFixedMaturitiesAbstract_lbl" xml:lang="en-US">Purchases of fixed maturities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PurchasesOfFixedMaturitiesAbstract" xlink:to="dgica_PurchasesOfFixedMaturitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_SalesOfFixedMaturitiesAbstract" xlink:href="dgica-20251231.xsd#dgica_SalesOfFixedMaturitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_SalesOfFixedMaturitiesAbstract_lbl" xml:lang="en-US">Sales of fixed maturities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SalesOfFixedMaturitiesAbstract" xlink:to="dgica_SalesOfFixedMaturitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_lbl" xml:lang="en-US">Available for sale</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" xlink:to="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_MaturityOfFixedMaturitiesAbstract" xlink:href="dgica-20251231.xsd#dgica_MaturityOfFixedMaturitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_MaturityOfFixedMaturitiesAbstract_lbl" xml:lang="en-US">Maturity of fixed maturities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MaturityOfFixedMaturitiesAbstract" xlink:to="dgica_MaturityOfFixedMaturitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_lbl" xml:lang="en-US">Held to maturity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities" xlink:to="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_lbl" xml:lang="en-US">Available for sale</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities" xlink:to="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi_lbl" xml:lang="en-US">Sales of equity securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi" xlink:to="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Financing Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl0" xml:lang="en-US">Cash flows from financing activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xml:lang="en-US">Issuance of common stock</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TreasuryStockValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_TreasuryStockValue_lbl" xml:lang="en-US">Treasury stock, at cost</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInPremiumsReceivable" xlink:to="us-gaap_IncreaseDecreaseInPremiumsReceivable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts" xlink:to="us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts" xlink:to="us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseInDeferredIncomeTaxes_lbl" xml:lang="en-US">Deferred income taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInDeferredIncomeTaxes" xlink:to="us-gaap_IncreaseDecreaseInDeferredIncomeTaxes_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInReinsuranceRecoverable" xlink:to="us-gaap_IncreaseDecreaseInReinsuranceRecoverable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_lbl" xml:lang="en-US">Accrued investment income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable" xlink:to="us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseDueFromAffiliates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseDueFromAffiliates_lbl" xml:lang="en-US">Amounts due from affiliate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:to="us-gaap_IncreaseDecreaseDueFromAffiliates_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums_lbl" xml:lang="en-US">Prepaid reinsurance premiums</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums" xlink:to="us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_lbl" xml:lang="en-US">Other, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet" xlink:to="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_lbl"/>
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    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireHeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireHeldToMaturitySecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsToAcquireHeldToMaturitySecurities_lbl" xml:lang="en-US">Held to maturity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireHeldToMaturitySecurities" xlink:to="us-gaap_PaymentsToAcquireHeldToMaturitySecurities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_lbl" xml:lang="en-US">Available for sale</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" xlink:to="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireEquitySecuritiesFvNi" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireEquitySecuritiesFvNi"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsToAcquireEquitySecuritiesFvNi_lbl" xml:lang="en-US">Purchases of equity securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireEquitySecuritiesFvNi" xlink:to="us-gaap_PaymentsToAcquireEquitySecuritiesFvNi_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromProductiveAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromProductiveAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsForProceedsFromProductiveAssets_lbl" xml:lang="en-US">Net (purchases) sales of property and equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForProceedsFromProductiveAssets" xlink:to="us-gaap_PaymentsForProceedsFromProductiveAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromShortTermInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromShortTermInvestments"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForProceedsFromShortTermInvestments" xlink:to="us-gaap_PaymentsForProceedsFromShortTermInvestments_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:label="us-gaap_PaymentsForProceedsFromShortTermInvestments_lbl0" xml:lang="en-US">Net (purchase) sale of short-term investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForProceedsFromShortTermInvestments" xlink:to="us-gaap_PaymentsForProceedsFromShortTermInvestments_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsOfDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDividends"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsOfDividends_lbl" xml:lang="en-US">Cash dividends paid</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsOfDividends" xlink:to="us-gaap_PaymentsOfDividends_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:label="us-gaap_PaymentsOfDividends_lbl0" xml:lang="en-US">Cash dividends paid</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsOfDividends" xlink:to="us-gaap_PaymentsOfDividends_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonClassAMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonClassAMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonClassAMember_lbl" xml:lang="en-US">Class A Common Stock [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonClassAMember_lbl0" xml:lang="en-US">Common Class A [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonClassBMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonClassBMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonClassBMember_lbl" xml:lang="en-US">Class B Common Stock [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonClassBMember_lbl0" xml:lang="en-US">Common Class B [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReclassificationOutOfAccumulatedOtherComprehensiveIncomeMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReclassificationOutOfAccumulatedOtherComprehensiveIncomeMember"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReclassificationOutOfAccumulatedOtherComprehensiveIncomeMember" xlink:to="us-gaap_ReclassificationOutOfAccumulatedOtherComprehensiveIncomeMember_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember_lbl" xml:lang="en-US">Cumulative Effect, Period of Adoption, Adjustment [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember" xlink:to="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccountingStandardsUpdate201613Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountingStandardsUpdate201613Member"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccountingStandardsUpdate201613Member_lbl" xml:lang="en-US">ASU 2016-13 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountingStandardsUpdate201613Member" xlink:to="us-gaap_AccountingStandardsUpdate201613Member_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockMember_lbl" xml:lang="en-US">Common Stock [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockMember" xlink:to="us-gaap_CommonStockMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapitalMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xml:lang="en-US">Additional Paid-In Capital [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdditionalPaidInCapitalMember" xlink:to="us-gaap_AdditionalPaidInCapitalMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xml:lang="en-US">Accumulated Other Comprehensive Loss [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RetainedEarningsMember_lbl" xml:lang="en-US">Retained Earnings [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsMember" xlink:to="us-gaap_RetainedEarningsMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockCommonMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TreasuryStockCommonMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TreasuryStockCommonMember_lbl" xml:lang="en-US">Treasury Stock [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TreasuryStockCommonMember" xlink:to="us-gaap_TreasuryStockCommonMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SignificantAccountingPoliciesTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xml:lang="en-US">Summary of Significant Accounting Policies</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="us-gaap_SignificantAccountingPoliciesTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock" xlink:to="us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xml:lang="en-US">Transactions with Affiliates</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock_lbl" xml:lang="en-US">Schedule of Reinsurance Atlantic States Ceded to Pool</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CededPremiumsEarned" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CededPremiumsEarned"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CededPremiumsEarned_lbl" xml:lang="en-US">Premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededPremiumsEarned" xlink:to="us-gaap_CededPremiumsEarned_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_CededPremiumsEarned_lbl0" xml:lang="en-US">Ceded</label>
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    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded_lbl" xml:lang="en-US">Losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded" xlink:to="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CededPremiumsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CededPremiumsPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CededPremiumsPayable_lbl" xml:lang="en-US">Liability for losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededPremiumsPayable" xlink:to="us-gaap_CededPremiumsPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock_lbl" xml:lang="en-US">Schedule of Reinsurance Atlantic States Assumed from Pool</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssumedPremiumsEarned" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssumedPremiumsEarned"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssumedPremiumsEarned_lbl" xml:lang="en-US">Premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssumedPremiumsEarned" xlink:to="us-gaap_AssumedPremiumsEarned_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_AssumedPremiumsEarned_lbl0" xml:lang="en-US">Assumed</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssumedPremiumsEarned" xlink:to="us-gaap_AssumedPremiumsEarned_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed_lbl" xml:lang="en-US">Losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed" xlink:to="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl" xml:lang="en-US">Liability for losses and loss expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl0" xml:lang="en-US">Net outstanding liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_AssumedLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock_lbl" xml:lang="en-US">Schedule of Reinsurance Ceded to Donegal Mutual Pursuant to Quota-Share Reinsurance Agreements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_CededAndRecoveredPremiumsEarned" xlink:href="dgica-20251231.xsd#dgica_CededAndRecoveredPremiumsEarned"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_CededAndRecoveredPremiumsEarned_lbl" xml:lang="en-US">Premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CededAndRecoveredPremiumsEarned" xlink:to="dgica_CededAndRecoveredPremiumsEarned_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl" xml:lang="en-US">Schedule of Insurance Subsidiaries Ceded to Donegal Mutual Pursuant to Reinsurance Agreements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock" xlink:to="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl" xml:lang="en-US">Schedule of Effect of Affiliated Reinsurance Transactions on Net Premiums of Subsidiaries Earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock_lbl" xml:lang="en-US">Schedule of Effect of Affiliated Reinsurance Transactions on Net Losses and Loss Expenses Insurance Subsidiaries Incurred</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssumedPremiumsWritten" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssumedPremiumsWritten"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssumedPremiumsWritten_lbl" xml:lang="en-US">Assumed</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssumedPremiumsWritten" xlink:to="us-gaap_AssumedPremiumsWritten_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl" xml:lang="en-US">Investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock" xlink:to="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock_lbl" xml:lang="en-US">Amortized Cost and Estimated Fair Values of Fixed Maturities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock" xlink:to="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_lbl" xml:lang="en-US">Held to maturity, gross unrealized gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_lbl" xml:lang="en-US">Held to maturity, gross unrealized losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_lbl" xml:lang="en-US">Available for sale, gross unrealized gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_lbl" xml:lang="en-US">Available for sale, gross unrealized losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock_lbl" xml:lang="en-US">Amortized Cost and Estimated Fair Value of Fixed Maturities by Contractual Maturity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock" xlink:to="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesNetCarryingAmountAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesNetCarryingAmountAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesNetCarryingAmountAbstract_lbl" xml:lang="en-US">Held to maturity</label>
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    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_lbl" xml:lang="en-US">Due in one year or less, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_lbl" xml:lang="en-US">Due in one year or less, estimated fair value</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl" xml:lang="en-US">Due after five years through ten years, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_lbl" xml:lang="en-US">Due after ten years, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl" xml:lang="en-US">Due after ten years, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount_lbl" xml:lang="en-US">Mortgage-backed securities, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_lbl" xml:lang="en-US">Mortgage-backed securities, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAmortizedCostAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAmortizedCostAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAmortizedCostAbstract_lbl" xml:lang="en-US">Available for sale</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAmortizedCostAbstract" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAmortizedCostAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_lbl" xml:lang="en-US">Due in one year or less, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_lbl" xml:lang="en-US">Due in one year or less, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_lbl" xml:lang="en-US">Due after one year through five years, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_lbl" xml:lang="en-US">Due after one year through five years, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_lbl" xml:lang="en-US">Due after five years through ten years, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl" xml:lang="en-US">Due after five years through ten years, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_lbl" xml:lang="en-US">Due after ten years, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl" xml:lang="en-US">Due after ten years, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_lbl" xml:lang="en-US">Mortgage-backed securities, amortized cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_lbl" xml:lang="en-US">Mortgage-backed securities, estimated fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl" xml:lang="en-US">Cost and Estimated Fair Values of Equity Securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock" xlink:to="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiCost_lbl" xml:lang="en-US">Cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiCost" xlink:to="us-gaap_EquitySecuritiesFvNiCost_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedGain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiUnrealizedGain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedGain_lbl" xml:lang="en-US">Gross gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiUnrealizedGain" xlink:to="us-gaap_EquitySecuritiesFvNiUnrealizedGain_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedGain_lbl0" xml:lang="en-US">Gross unrealized gains on equity securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiUnrealizedGain" xlink:to="us-gaap_EquitySecuritiesFvNiUnrealizedGain_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiUnrealizedLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedLoss_lbl" xml:lang="en-US">Gross losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiUnrealizedLoss" xlink:to="us-gaap_EquitySecuritiesFvNiUnrealizedLoss_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedLoss_lbl0" xml:lang="en-US">Gross unrealized losses on equity securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesFvNiUnrealizedLoss" xlink:to="us-gaap_EquitySecuritiesFvNiUnrealizedLoss_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentIncomeTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentIncomeTextBlock_lbl" xml:lang="en-US">Net Investment Income, Consisting Primarily of Interest and Dividends</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeTextBlock" xlink:to="us-gaap_InvestmentIncomeTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentIncomeInterestAndDividend" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInterestAndDividend"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentIncomeInterestAndDividend_lbl" xml:lang="en-US">Investment income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeInterestAndDividend" xlink:to="us-gaap_InvestmentIncomeInterestAndDividend_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealizedGainLossOnInvestmentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedGainLossOnInvestmentsTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RealizedGainLossOnInvestmentsTableTextBlock_lbl" xml:lang="en-US">Gross Investment Gains and Losses before Applicable Income Taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RealizedGainLossOnInvestmentsTableTextBlock" xlink:to="us-gaap_RealizedGainLossOnInvestmentsTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrossRealizedGainOnInvestments" xlink:href="dgica-20251231.xsd#dgica_GrossRealizedGainOnInvestments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrossRealizedGainOnInvestments_lbl" xml:lang="en-US">Gross realized gains</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedGainOnInvestments" xlink:to="dgica_GrossRealizedGainOnInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrossRealizedLossOnInvestments" xlink:href="dgica-20251231.xsd#dgica_GrossRealizedLossOnInvestments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrossRealizedLossOnInvestments_lbl" xml:lang="en-US">Gross realized losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedLossOnInvestments" xlink:to="dgica_GrossRealizedLossOnInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments" xlink:href="dgica-20251231.xsd#dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments_lbl" xml:lang="en-US">Change in difference between fair value and cost of investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments" xlink:to="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnrealizedGainLossOnInvestmentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossOnInvestmentsTableTextBlock"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_lbl" xml:lang="en-US">Less than 12 months, unrealized losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl" xml:lang="en-US">More than 12 months, fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xml:lang="en-US">More than 12 months, unrealized losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xml:lang="en-US">Fair Value Measurements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueDisclosuresTextBlock" xlink:to="us-gaap_FairValueDisclosuresTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xml:lang="en-US">Investments in Available-for-Sale Fixed Maturity and Equity Securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:to="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsFairValueDisclosure"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentsFairValueDisclosure_lbl" xml:lang="en-US">Investments in the fair value hierarchy</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentsFairValueDisclosure" xlink:to="us-gaap_InvestmentsFairValueDisclosure_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsTextBlock1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostsTextBlock1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsTextBlock1_lbl" xml:lang="en-US">Deferred Policy Acquisition Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostsTextBlock1" xlink:to="us-gaap_DeferredPolicyAcquisitionCostsTextBlock1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock_lbl" xml:lang="en-US">Deferred Policy Acquisition Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock" xlink:to="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsAdditions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostsAdditions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsAdditions_lbl" xml:lang="en-US">Acquisition costs deferred</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostsAdditions" xlink:to="us-gaap_DeferredPolicyAcquisitionCostsAdditions_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_lbl" xml:lang="en-US">Property and Equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock" xlink:to="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl" xml:lang="en-US">Property and Equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentTextBlock" xlink:to="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentGross" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xml:lang="en-US">Property and equipment, Gross</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentGross" xlink:to="us-gaap_PropertyPlantAndEquipmentGross_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentUsefulLife"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xml:lang="en-US">Estimated useful life</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentUsefulLife" xlink:to="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_LiabilityForLossesAndLossExpensesTextBlock" xlink:href="dgica-20251231.xsd#dgica_LiabilityForLossesAndLossExpensesTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_LiabilityForLossesAndLossExpensesTextBlock_lbl" xml:lang="en-US">Liability for Losses and Loss Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_LiabilityForLossesAndLossExpensesTextBlock" xlink:to="dgica_LiabilityForLossesAndLossExpensesTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl" xml:lang="en-US">Summary of Insurance Subsidiaries&apos; Liability for Losses and Loss Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_ScheduleOfLiabilityForUnpaidClaimsAndClaimsAdjustmentExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments_lbl" xml:lang="en-US">Cumulative effect of adoption of updated accounting guidance for credit losses at January 1</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract_lbl" xml:lang="en-US">Incurred related to:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_lbl" xml:lang="en-US">Current year</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_lbl" xml:lang="en-US">Prior years</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidAbstract_lbl" xml:lang="en-US">Paid related to:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidAbstract" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_lbl" xml:lang="en-US">Current year</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_lbl" xml:lang="en-US">Prior years</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock_lbl" xml:lang="en-US">Incurred and Paid Claims Development, Net of Reinsurance, Cumulative Claim Frequency and Total of IBNR Reserves Plus Expected Development on Reported Claims</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock" xlink:to="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl" xml:lang="en-US">Incurred claims and allocated claim adjustment expenses, net of reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:to="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsIncurredButNotReportedIbnrClaimsLiabilityNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsIncurredButNotReportedIbnrClaimsLiabilityNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsIncurredButNotReportedIbnrClaimsLiabilityNet_lbl" xml:lang="en-US">Total IBNR plus expected development on reported claims</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsIncurredButNotReportedIbnrClaimsLiabilityNet" xlink:to="us-gaap_ShortdurationInsuranceContractsIncurredButNotReportedIbnrClaimsLiabilityNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsNumberOfReportedClaims" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsNumberOfReportedClaims"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsNumberOfReportedClaims_lbl" xml:lang="en-US">Cumulative number of reported claims (in Claim)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsNumberOfReportedClaims" xlink:to="us-gaap_ShortdurationInsuranceContractsNumberOfReportedClaims_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl" xml:lang="en-US">Cumulative paid claims and allocated claim adjustment expenses, net of reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:to="us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented_lbl" xml:lang="en-US">All outstanding liabilities before 2016, net of reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented" xlink:to="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl" xml:lang="en-US">Liabilities for claims and claims adjustment expenses, net of reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:to="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsReconciliationOfClaimsDevelopmentToLiabilityTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsReconciliationOfClaimsDevelopmentToLiabilityTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsReconciliationOfClaimsDevelopmentToLiabilityTableTextBlock_lbl" xml:lang="en-US">Reconciliation of Net Incurred and Paid Claims Development Tables to Liability for Claims and Claim Adjustment Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsReconciliationOfClaimsDevelopmentToLiabilityTableTextBlock" xlink:to="us-gaap_ShortdurationInsuranceContractsReconciliationOfClaimsDevelopmentToLiabilityTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverablesGross" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverablesGross"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRecoverablesGross_lbl" xml:lang="en-US">Reinsurance recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverablesGross" xlink:to="us-gaap_ReinsuranceRecoverablesGross_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsScheduleOfHistoricalClaimsDurationTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsScheduleOfHistoricalClaimsDurationTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsScheduleOfHistoricalClaimsDurationTableTextBlock_lbl" xml:lang="en-US">Supplementary Information about Average Historical Claims Duration</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsScheduleOfHistoricalClaimsDurationTableTextBlock" xlink:to="us-gaap_ShortdurationInsuranceContractsScheduleOfHistoricalClaimsDurationTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearOne" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearOne"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearOne_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 1</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearOne" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearOne_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTwo" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTwo"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTwo_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 2</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTwo" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTwo_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearThree" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearThree"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearThree_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 3</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearThree" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearThree_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFour" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFour"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFour_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 4</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFour" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFour_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFive"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFive_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 5</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFive" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearFive_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 6</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSeven" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSeven"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSeven_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 7</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSeven" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSeven_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 8</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 9</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTen" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTen"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTen_lbl" xml:lang="en-US">Average annual percentage payout of incurred claims by age, net of reinsurance, year 10</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTen" xlink:to="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearTen_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LongTermDebtTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LongTermDebtTextBlock_lbl" xml:lang="en-US">Borrowings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebtTextBlock" xlink:to="us-gaap_LongTermDebtTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock_lbl" xml:lang="en-US">FHLB of Stock Purchased, Collateral Pledged and Assets Related</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock" xlink:to="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FederalHomeLoanBankStock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FederalHomeLoanBankStock_lbl" xml:lang="en-US">FHLB stock purchased and owned as part of the agreement</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FederalHomeLoanBankStock" xlink:to="us-gaap_FederalHomeLoanBankStock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar" xlink:href="dgica-20251231.xsd#dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar_lbl" xml:lang="en-US">Collateral pledged, at par (carrying value $39,761,155)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar" xlink:to="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NotesReceivableGross"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NotesReceivableGross_lbl" xml:lang="en-US">Collateral pledged at carrying value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NotesReceivableGross" xlink:to="us-gaap_NotesReceivableGross_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_lbl" xml:lang="en-US">Borrowing capacity currently available</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_lbl" xml:lang="en-US">Interest</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:to="us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InterestExpenseDebt_lbl" xml:lang="en-US">Interest</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestExpenseDebt" xlink:to="us-gaap_InterestExpenseDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceTextBlock_lbl" xml:lang="en-US">Reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceTextBlock" xlink:to="us-gaap_ReinsuranceTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock_lbl" xml:lang="en-US">Ceded Reinsurance Transactions with Unaffiliated Reinsurers</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CededPremiumsWritten" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CededPremiumsWritten"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CededPremiumsWritten_lbl" xml:lang="en-US">Premiums written</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededPremiumsWritten" xlink:to="us-gaap_CededPremiumsWritten_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_CededPremiumsWritten_lbl0" xml:lang="en-US">Ceded</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededPremiumsWritten" xlink:to="us-gaap_CededPremiumsWritten_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CededPremiumsWritten_lbl1" xml:lang="en-US">Premiums ceded to other party (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededPremiumsWritten" xlink:to="us-gaap_CededPremiumsWritten_lbl1"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock_lbl" xml:lang="en-US">Total Ceded Reinsurance Transactions with both Affiliated and Unaffiliated Reinsurers</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl" xml:lang="en-US">Amounts Represent Effect of Reinsurance on Premiums Written</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DirectPremiumsWritten" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DirectPremiumsWritten"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DirectPremiumsWritten_lbl" xml:lang="en-US">Direct</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DirectPremiumsWritten" xlink:to="us-gaap_DirectPremiumsWritten_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock_lbl" xml:lang="en-US">Amounts Represent Effect of Reinsurance on Premiums Earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DirectPremiumsEarned" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DirectPremiumsEarned"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DirectPremiumsEarned_lbl" xml:lang="en-US">Direct</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DirectPremiumsEarned" xlink:to="us-gaap_DirectPremiumsEarned_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PremiumsPercentageAssumedToNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsPercentageAssumedToNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PremiumsPercentageAssumedToNet_lbl" xml:lang="en-US">Percentage of assumed premiums earned to net premiums earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsPercentageAssumedToNet" xlink:to="us-gaap_PremiumsPercentageAssumedToNet_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PremiumsPercentageAssumedToNet_lbl0" xml:lang="en-US">Premiums and losses related to certain products</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsPercentageAssumedToNet" xlink:to="us-gaap_PremiumsPercentageAssumedToNet_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xml:lang="en-US">Income Taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxDisclosureTextBlock" xlink:to="us-gaap_IncomeTaxDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_lbl" xml:lang="en-US">Provision for Income Tax Expense</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" xlink:to="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract_lbl" xml:lang="en-US">Current income tax expense:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:to="us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentFederalTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalTaxExpenseBenefit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CurrentFederalTaxExpenseBenefit_lbl" xml:lang="en-US">U.S. federal</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CurrentFederalTaxExpenseBenefit" xlink:to="us-gaap_CurrentFederalTaxExpenseBenefit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xml:lang="en-US">State</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:to="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract_lbl" xml:lang="en-US">Deferred income tax expense (benefit):</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:to="us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit_lbl" xml:lang="en-US">U.S. federal</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:to="us-gaap_DeferredFederalIncomeTaxExpenseBenefit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_lbl" xml:lang="en-US">Reconciliation of Federal Income Tax Rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:to="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xml:lang="en-US">Tax at U.S. federal statutory rate, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate" xlink:to="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xml:lang="en-US">Tax at U.S. federal statutory rate, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl0" xml:lang="en-US">Corporate income tax rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration_lbl" xml:lang="en-US">Tax Jurisdiction of Domicile [Extensible Enumeration]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration" xlink:to="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl" xml:lang="en-US">State income taxes, net of federal income tax effect, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes" xlink:to="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl" xml:lang="en-US">State income taxes, net of federal income tax effect, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationNontaxableAndNondeductibleExpenseAmountAndPercentAbstract" xlink:href="dgica-20251231.xsd#dgica_EffectiveIncomeTaxRateReconciliationNontaxableAndNondeductibleExpenseAmountAndPercentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationNontaxableAndNondeductibleExpenseAmountAndPercentAbstract_lbl" xml:lang="en-US">Nontaxable or nondeductible items:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationNontaxableAndNondeductibleExpenseAmountAndPercentAbstract" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationNontaxableAndNondeductibleExpenseAmountAndPercentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncomeTaxReconciliationProration" xlink:href="dgica-20251231.xsd#dgica_IncomeTaxReconciliationProration"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncomeTaxReconciliationProration_lbl" xml:lang="en-US">Proration, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeTaxReconciliationProration" xlink:to="dgica_IncomeTaxReconciliationProration_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationProration" xlink:href="dgica-20251231.xsd#dgica_EffectiveIncomeTaxRateReconciliationProration"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationProration_lbl" xml:lang="en-US">Proration, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationProration" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationProration_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitAmount_lbl" xml:lang="en-US">Stock options, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitAmount" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_lbl" xml:lang="en-US">Stock options, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationDispositionOfAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationDispositionOfAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReconciliationDispositionOfAssets_lbl" xml:lang="en-US">Fixed-maturity dispositions, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationDispositionOfAssets" xlink:to="us-gaap_IncomeTaxReconciliationDispositionOfAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets_lbl" xml:lang="en-US">Fixed-maturity dispositions, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract" xlink:href="dgica-20251231.xsd#dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract_lbl" xml:lang="en-US">Other adjustments:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:href="dgica-20251231.xsd#dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl" xml:lang="en-US">Unrealized gain on equity securities, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl" xml:lang="en-US">Additional tax paid for prior year, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes" xlink:to="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes_lbl" xml:lang="en-US">Additional tax paid for prior year, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationOtherReconcilingItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationOtherReconcilingItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxReconciliationOtherReconcilingItems_lbl" xml:lang="en-US">Other, net, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationOtherReconcilingItems" xlink:to="us-gaap_IncomeTaxReconciliationOtherReconcilingItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent_lbl" xml:lang="en-US">Other, net, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock_lbl" xml:lang="en-US">Income Taxes Paid</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock" xlink:to="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:to="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves" xlink:to="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredTaxAssetsUnrealizedLossesOnTradingSecurities_lbl" xml:lang="en-US">Net unrealized losses</label>
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    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl" xml:lang="en-US">Net state operating loss carryforward - DGI Parent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal" xlink:to="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsOther" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOther"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsOther" xlink:to="us-gaap_DeferredTaxAssetsOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract" xlink:to="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost" xlink:to="us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment" xlink:href="dgica-20251231.xsd#dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment" xlink:to="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesOther" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxLiabilitiesOther"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxLiabilitiesOther" xlink:to="us-gaap_DeferredTaxLiabilitiesOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xml:lang="en-US">Stockholders&apos; Equity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:to="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CompensationAndEmployeeBenefitPlansTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_lbl" xml:lang="en-US">Stock Compensation Plans</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock" xlink:to="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xml:lang="en-US">Information Regarding Activity in Stock Option Plans</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock" xlink:to="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xml:lang="en-US">Granted (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xml:lang="en-US">Granted (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xml:lang="en-US">Exercised (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xml:lang="en-US">Forfeited (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice_lbl" xml:lang="en-US">Expired (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xml:lang="en-US">Number of options exercisable (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xml:lang="en-US">Exercisable (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeTextBlock_lbl" xml:lang="en-US">Summary of Information about Stock Options Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeTextBlock" xlink:to="us-gaap_ScheduleOfShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeTextBlock_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1_lbl" xml:lang="en-US">Exercise price (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1" xlink:to="us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions_lbl" xml:lang="en-US">Number of options outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions" xlink:to="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xml:lang="en-US">Weighted-average remaining contractual life</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2" xlink:to="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock" xlink:to="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SharePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharePrice_lbl" xml:lang="en-US">Shares issued price (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharePrice" xlink:to="us-gaap_SharePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xml:lang="en-US">Shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans" xlink:to="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock_lbl" xml:lang="en-US">Statutory Net Income, Capital and Surplus and Dividend Restrictions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock" xlink:to="us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatutoryAccountingPracticesDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock_lbl" xml:lang="en-US">State Insurance Regulatory Authorities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock" xlink:to="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance_lbl" xml:lang="en-US">Statutory capital and surplus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance" xlink:to="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance_lbl0" xml:lang="en-US">Statutory capital and surplus of insurance subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance" xlink:to="us-gaap_StatutoryAccountingPracticesStatutoryCapitalAndSurplusBalance_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus" xlink:href="dgica-20251231.xsd#dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus_lbl" xml:lang="en-US">Statutory unassigned surplus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus" xlink:to="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount_lbl" xml:lang="en-US">Statutory net income (loss)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount" xlink:to="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount_lbl0" xml:lang="en-US">Statutory net income (loss) of insurance subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount" xlink:to="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock" xlink:href="dgica-20251231.xsd#dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock_lbl" xml:lang="en-US">Reconciliation of Statutory Filings to Amounts Reported in the Consolidated Financial Statements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock" xlink:to="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock" xlink:href="dgica-20251231.xsd#dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl" xml:lang="en-US">Reconciliations of Statutory Net Income (Loss) and Capital and Surplus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock" xlink:to="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract" xlink:href="dgica-20251231.xsd#dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract_lbl" xml:lang="en-US">Increases (decreases):</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract" xlink:to="dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes" xlink:href="dgica-20251231.xsd#dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl" xml:lang="en-US">Deferred federal income taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes" xlink:to="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable" xlink:href="dgica-20251231.xsd#dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable_lbl" xml:lang="en-US">Salvage and subrogation recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable" xlink:to="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments" xlink:href="dgica-20251231.xsd#dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments_lbl" xml:lang="en-US">Consolidating eliminations and adjustments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments" xlink:to="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncreaseDecreaseInParentOnlyNetIncome" xlink:href="dgica-20251231.xsd#dgica_IncreaseDecreaseInParentOnlyNetIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IncreaseDecreaseInParentOnlyNetIncome_lbl" xml:lang="en-US">Parent-only net income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInParentOnlyNetIncome" xlink:to="dgica_IncreaseDecreaseInParentOnlyNetIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusOfInsuranceSubsidiariesAbstract" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusOfInsuranceSubsidiariesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryCapitalAndSurplusOfInsuranceSubsidiariesAbstract_lbl" xml:lang="en-US">Increases (decreases):</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusOfInsuranceSubsidiariesAbstract" xlink:to="dgica_StatutoryCapitalAndSurplusOfInsuranceSubsidiariesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable_lbl" xml:lang="en-US">Salvage and subrogation recoverable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments_lbl" xml:lang="en-US">Non-admitted assets and other adjustments, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities_lbl" xml:lang="en-US">Fixed maturities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities" xlink:to="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xml:lang="en-US">Earnings Per Share [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareTextBlock" xlink:to="us-gaap_EarningsPerShareTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xml:lang="en-US">Reconciliation of Numerators and Denominators Used in Basic and Diluted Per Share Computations</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xml:lang="en-US">Numerator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract" xlink:to="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xml:lang="en-US">Allocation of net income (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:to="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract_lbl" xml:lang="en-US">Denominator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xml:lang="en-US">Weighted-average shares outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl0" xml:lang="en-US">Number of shares used in basic computation (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLossAttributableToParentDilutedAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAttributableToParentDilutedAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetIncomeLossAttributableToParentDilutedAbstract_lbl" xml:lang="en-US">Numerator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAttributableToParentDilutedAbstract" xlink:to="us-gaap_NetIncomeLossAttributableToParentDilutedAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xml:lang="en-US">Allocation of net income (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted" xlink:to="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl0" xml:lang="en-US">Allocation of net income (in Dollars) (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted" xlink:to="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xml:lang="en-US">Denominator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract_lbl" xml:lang="en-US">Weighted-average effect of dilutive securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract" xlink:to="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl" xml:lang="en-US">Director and employee stock options (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment" xlink:to="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CondensedFinancialInformationOfParentCompanyOnlyDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CondensedFinancialInformationOfParentCompanyOnlyDisclosureTextBlock"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsAbstract_lbl" xml:lang="en-US">Assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AssetsAbstract_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EquityMethodInvestments_lbl" xml:lang="en-US">Investment in subsidiaries/affiliates (equity method)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityMethodInvestments" xlink:to="us-gaap_EquityMethodInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NotesPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NotesPayable_lbl" xml:lang="en-US">Notes payable to subsidiary</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NotesPayable" xlink:to="us-gaap_NotesPayable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_ScheduleOfCondensedIncomeStatementTableTextBlock_lbl" xml:lang="en-US">Condensed Statements of Income and Comprehensive Income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ScheduleOfCondensedIncomeStatementTableTextBlock" xlink:to="srt_ScheduleOfCondensedIncomeStatementTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_DividendsFromSubsidiariesAndAffiliates" xlink:href="dgica-20251231.xsd#dgica_DividendsFromSubsidiariesAndAffiliates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_DividendsFromSubsidiariesAndAffiliates_lbl" xml:lang="en-US">Dividends from subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DividendsFromSubsidiariesAndAffiliates" xlink:to="dgica_DividendsFromSubsidiariesAndAffiliates_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax" xlink:to="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingExpenses" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpenses"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OperatingExpenses_lbl" xml:lang="en-US">Operating expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingExpenses" xlink:to="us-gaap_OperatingExpenses_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EquityInUndistributedNetIncomeOfSubsidiaries" xlink:href="dgica-20251231.xsd#dgica_EquityInUndistributedNetIncomeOfSubsidiaries"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EquityInUndistributedNetIncomeOfSubsidiaries_lbl" xml:lang="en-US">Equity in undistributed net income (loss) of subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EquityInUndistributedNetIncomeOfSubsidiaries" xlink:to="dgica_EquityInUndistributedNetIncomeOfSubsidiaries_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatementsOfComprehensiveIncomeAbstract" xlink:href="dgica-20251231.xsd#dgica_StatementsOfComprehensiveIncomeAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatementsOfComprehensiveIncomeAbstract_lbl" xml:lang="en-US">Statements of Comprehensive Income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatementsOfComprehensiveIncomeAbstract" xlink:to="dgica_StatementsOfComprehensiveIncomeAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ScheduleOfCondensedCashFlowStatementTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock_lbl" xml:lang="en-US">Condensed Statements of Cash Flows</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock" xlink:to="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries" xlink:href="dgica-20251231.xsd#dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries_lbl" xml:lang="en-US">Equity in undistributed net (income) loss of subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries" xlink:to="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xml:lang="en-US">Segment Information</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentReportingDisclosureTextBlock" xlink:to="us-gaap_SegmentReportingDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl" xml:lang="en-US">Financial Data by Segment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink:to="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherIncome_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherIncome" xlink:to="us-gaap_OtherIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_SegmentExpensesAbstract" xlink:href="dgica-20251231.xsd#dgica_SegmentExpensesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_SegmentExpensesAbstract_lbl" xml:lang="en-US">Segment expenses:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SegmentExpensesAbstract" xlink:to="dgica_SegmentExpensesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss" xlink:href="dgica-20251231.xsd#dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss_lbl" xml:lang="en-US">SAP underwriting income (loss)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss" xlink:to="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InsuranceDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InsuranceDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InsuranceDisclosureTextBlock_lbl" xml:lang="en-US">Guaranty Fund and Other Insurance-Related Assessments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InsuranceDisclosureTextBlock" xlink:to="us-gaap_InsuranceDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AllowanceForCreditLossesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AllowanceForCreditLossesTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AllowanceForCreditLossesTextBlock_lbl" xml:lang="en-US">Allowance for Expected Credit Losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AllowanceForCreditLossesTextBlock" xlink:to="us-gaap_AllowanceForCreditLossesTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock_lbl" xml:lang="en-US">Held-to-Maturity Fixed-Maturity Securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease_lbl" xml:lang="en-US">Current period change for expected credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverableAllowanceForCreditLossTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossTableTextBlock_lbl" xml:lang="en-US">Reinsurance Receivable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossTableTextBlock" xlink:to="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease_lbl" xml:lang="en-US">Current period change for expected credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease" xlink:to="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_SupplementaryInsuranceInformationForInsuranceCompaniesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SupplementaryInsuranceInformationForInsuranceCompaniesDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_SupplementaryInsuranceInformationForInsuranceCompaniesDisclosureTextBlock_lbl" xml:lang="en-US">SCHEDULE III &#8212; SUPPLEMENTARY INSURANCE INFORMATION</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_SupplementaryInsuranceInformationForInsuranceCompaniesDisclosureTextBlock" xlink:to="srt_SupplementaryInsuranceInformationForInsuranceCompaniesDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationPremiumRevenue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationPremiumRevenue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationPremiumRevenue_lbl" xml:lang="en-US">Net Premiums Earned</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationPremiumRevenue" xlink:to="us-gaap_SupplementaryInsuranceInformationPremiumRevenue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome_lbl" xml:lang="en-US">Net Investment Income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome" xlink:to="us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense_lbl" xml:lang="en-US">Net Losses and Loss Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense" xlink:to="us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts_lbl" xml:lang="en-US">Amortization of Deferred Policy Acquisition Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts" xlink:to="us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense_lbl" xml:lang="en-US">Other Underwriting Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense" xlink:to="us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationPremiumsWritten" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationPremiumsWritten"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationPremiumsWritten_lbl" xml:lang="en-US">Net Premiums Written</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationPremiumsWritten" xlink:to="us-gaap_SupplementaryInsuranceInformationPremiumsWritten_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts_lbl" xml:lang="en-US">Deferred Policy Acquisition Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts" xlink:to="us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves_lbl" xml:lang="en-US">Liability For Losses and Loss Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves" xlink:to="us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationUnearnedPremiums"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums_lbl" xml:lang="en-US">Unearned Premiums</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums" xlink:to="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementaryInsuranceInformationOtherPolicyClaimsAndBenefitsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementaryInsuranceInformationOtherPolicyClaimsAndBenefitsPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementaryInsuranceInformationOtherPolicyClaimsAndBenefitsPayable_lbl" xml:lang="en-US">Other Policy Claims and Benefits Payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationOtherPolicyClaimsAndBenefitsPayable" xlink:to="us-gaap_SupplementaryInsuranceInformationOtherPolicyClaimsAndBenefitsPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentIncomeInvestmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_InvestmentIncomeInvestmentExpense_lbl" xml:lang="en-US">Investment expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeInvestmentExpense" xlink:to="us-gaap_InvestmentIncomeInvestmentExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease_lbl" xml:lang="en-US">Decrease (increase) in allowance for credit losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xml:lang="en-US">Accumulated depreciation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:to="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationTaxExemptIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationTaxExemptIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncomeTaxReconciliationTaxExemptIncome_lbl" xml:lang="en-US">Tax-exempt interest, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationTaxExemptIncome" xlink:to="us-gaap_IncomeTaxReconciliationTaxExemptIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome_lbl" xml:lang="en-US">Tax-exempt interest, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationDeductionsDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationDeductionsDividends"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncomeTaxReconciliationDeductionsDividends_lbl" xml:lang="en-US">Dividends received deduction, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationDeductionsDividends" xlink:to="us-gaap_IncomeTaxReconciliationDeductionsDividends_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends_lbl" xml:lang="en-US">Dividends received deduction, percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:href="dgica-20251231.xsd#dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl" xml:lang="en-US">Unrealized gain on equity securities, amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:to="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xml:lang="en-US">Less valuation allowance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsValuationAllowance" xlink:to="us-gaap_DeferredTaxAssetsValuationAllowance_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xml:lang="en-US">Exercised (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised" xlink:to="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xml:lang="en-US">Forfeited (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod_lbl" xml:lang="en-US">Expired (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes_lbl" xml:lang="en-US">Deferred federal income taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments" xlink:href="dgica-20251231.xsd#dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl" xml:lang="en-US">Parent-only equity and other adjustments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xml:lang="en-US">Net purchase of property and equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:to="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries" xlink:href="dgica-20251231.xsd#dgica_PaymentsForProceedsFromInvestmentInSubsidiaries"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries_lbl" xml:lang="en-US">Investment in subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries" xlink:to="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromOtherInvestingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsForProceedsFromOtherInvestingActivities_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForProceedsFromOtherInvestingActivities" xlink:to="us-gaap_PaymentsForProceedsFromOtherInvestingActivities_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss" xlink:href="dgica-20251231.xsd#dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss_lbl" xml:lang="en-US">GAAP adjustments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss" xlink:to="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SegmentReportingOtherItemAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingOtherItemAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_SegmentReportingOtherItemAmount_lbl" xml:lang="en-US">Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentReportingOtherItemAmount" xlink:to="us-gaap_SegmentReportingOtherItemAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_AffiliatedEntityMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_AffiliatedEntityMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_AffiliatedEntityMember_lbl" xml:lang="en-US">Affiliated Entity [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_AffiliatedEntityMember" xlink:to="srt_AffiliatedEntityMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_AtlanticStatesMember" xlink:href="dgica-20251231.xsd#dgica_AtlanticStatesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_AtlanticStatesMember_lbl" xml:lang="en-US">Atlantic States [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AtlanticStatesMember" xlink:to="dgica_AtlanticStatesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_DonegalMutualInsuranceCompanyMember" xlink:href="dgica-20251231.xsd#dgica_DonegalMutualInsuranceCompanyMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_DonegalMutualInsuranceCompanyMember_lbl" xml:lang="en-US">Donegal Mutual [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DonegalMutualInsuranceCompanyMember" xlink:to="dgica_DonegalMutualInsuranceCompanyMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="dgica_DonegalMutualInsuranceCompanyMember_lbl0" xml:lang="en-US">Donegal Mutual Insurance Company [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DonegalMutualInsuranceCompanyMember" xlink:to="dgica_DonegalMutualInsuranceCompanyMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="dgica_CatastropheReinsuranceMember" xlink:href="dgica-20251231.xsd#dgica_CatastropheReinsuranceMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_CatastropheReinsuranceMember_lbl" xml:lang="en-US">Catastrophe Reinsurance [Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CatastropheReinsuranceMember" xlink:to="dgica_CatastropheReinsuranceMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_InsuranceSubsidiariesMember" xlink:href="dgica-20251231.xsd#dgica_InsuranceSubsidiariesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_InsuranceSubsidiariesMember_lbl" xml:lang="en-US">Insurance Subsidiaries [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InsuranceSubsidiariesMember" xlink:to="dgica_InsuranceSubsidiariesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasuryAndGovernmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasuryAndGovernmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_USTreasuryAndGovernmentMember_lbl" xml:lang="en-US">U.S. Treasury Securities and Obligations of U.S. Government Corporations and Agencies [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_USTreasuryAndGovernmentMember" xlink:to="us-gaap_USTreasuryAndGovernmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USStatesAndPoliticalSubdivisionsMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember_lbl" xml:lang="en-US">Obligations of States and Political Subdivisions [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:to="us-gaap_USStatesAndPoliticalSubdivisionsMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DomesticCorporateDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DomesticCorporateDebtSecuritiesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DomesticCorporateDebtSecuritiesMember_lbl" xml:lang="en-US">Corporate Securities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DomesticCorporateDebtSecuritiesMember" xlink:to="us-gaap_DomesticCorporateDebtSecuritiesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MortgageBackedSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MortgageBackedSecuritiesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_MortgageBackedSecuritiesMember_lbl" xml:lang="en-US">Mortgage-Backed Securities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MortgageBackedSecuritiesMember" xlink:to="us-gaap_MortgageBackedSecuritiesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FixedMaturitiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FixedMaturitiesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FixedMaturitiesMember_lbl" xml:lang="en-US">Fixed Maturities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FixedMaturitiesMember" xlink:to="us-gaap_FixedMaturitiesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesMember"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesMember" xlink:to="us-gaap_EquitySecuritiesMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialAutomobileMember" xlink:to="dgica_CommercialAutomobileMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialMultiperilMember" xlink:to="dgica_CommercialMultiperilMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_WorkersCompensationMember" xlink:href="dgica-20251231.xsd#dgica_WorkersCompensationMember"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_WorkersCompensationMember" xlink:to="dgica_WorkersCompensationMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_WorkersCompensationMember" xlink:to="dgica_WorkersCompensationMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProductAndServiceOtherMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProductAndServiceOtherMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProductAndServiceOtherMember_lbl" xml:lang="en-US">Other [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProductAndServiceOtherMember" xlink:to="us-gaap_ProductAndServiceOtherMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TitleInsuranceSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TitleInsuranceSegmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TitleInsuranceSegmentMember_lbl" xml:lang="en-US">Title Insurance Product Line [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TitleInsuranceSegmentMember" xlink:to="us-gaap_TitleInsuranceSegmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_FederalHomeLoanBankOfPittsburghMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_FederalHomeLoanBankOfPittsburghMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_FederalHomeLoanBankOfPittsburghMember_lbl" xml:lang="en-US">FHLB of Pittsburgh [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_FederalHomeLoanBankOfPittsburghMember" xlink:to="srt_FederalHomeLoanBankOfPittsburghMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetPledgedAsCollateralWithoutRightMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetPledgedAsCollateralWithoutRightMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetPledgedAsCollateralWithoutRightMember_lbl" xml:lang="en-US">Asset Pledged as Collateral without Right [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetPledgedAsCollateralWithoutRightMember" xlink:to="us-gaap_AssetPledgedAsCollateralWithoutRightMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_UnaffiliatedEntityMember" xlink:to="dgica_UnaffiliatedEntityMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_AffiliatedEntityAndUnaffiliatedEntityMember_lbl" xml:lang="en-US">Affiliated Entity and Unaffiliated Entity [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AffiliatedEntityAndUnaffiliatedEntityMember" xlink:to="dgica_AffiliatedEntityAndUnaffiliatedEntityMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrantDateOneMember" xlink:href="dgica-20251231.xsd#dgica_GrantDateOneMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrantDateOneMember_lbl" xml:lang="en-US">December 16, 2021 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateOneMember" xlink:to="dgica_GrantDateOneMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrantDateTwoMember" xlink:href="dgica-20251231.xsd#dgica_GrantDateTwoMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrantDateTwoMember_lbl" xml:lang="en-US">December 15, 2022 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateTwoMember" xlink:to="dgica_GrantDateTwoMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrantDateThreeMember" xlink:href="dgica-20251231.xsd#dgica_GrantDateThreeMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrantDateThreeMember_lbl" xml:lang="en-US">December 21, 2023 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateThreeMember" xlink:to="dgica_GrantDateThreeMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_GrantDateFourMember" xlink:href="dgica-20251231.xsd#dgica_GrantDateFourMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_GrantDateFourMember_lbl" xml:lang="en-US">December 19, 2024 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateFourMember" xlink:to="dgica_GrantDateFourMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateOneMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateOneMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateOneMember_lbl" xml:lang="en-US">January 1, 2023 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateOneMember" xlink:to="dgica_IssueDateOneMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateTwoMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateTwoMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateTwoMember_lbl" xml:lang="en-US">July 1, 2023 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateTwoMember" xlink:to="dgica_IssueDateTwoMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateThreeMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateThreeMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateThreeMember_lbl" xml:lang="en-US">January 1, 2024 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateThreeMember" xlink:to="dgica_IssueDateThreeMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateFourMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateFourMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateFourMember_lbl" xml:lang="en-US">July 1, 2024 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateFourMember" xlink:to="dgica_IssueDateFourMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateFiveMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateFiveMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateFiveMember_lbl" xml:lang="en-US">January 1, 2025 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateFiveMember" xlink:to="dgica_IssueDateFiveMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_IssueDateSixMember" xlink:href="dgica-20251231.xsd#dgica_IssueDateSixMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_IssueDateSixMember_lbl" xml:lang="en-US">July 1, 2025 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateSixMember" xlink:to="dgica_IssueDateSixMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EmployeeStockPurchasePlanMember" xlink:href="dgica-20251231.xsd#dgica_EmployeeStockPurchasePlanMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EmployeeStockPurchasePlanMember_lbl" xml:lang="en-US">Employee Stock Purchase Plan [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeStockPurchasePlanMember" xlink:to="dgica_EmployeeStockPurchasePlanMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_MichiganInsuranceCompanyMember" xlink:href="dgica-20251231.xsd#dgica_MichiganInsuranceCompanyMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_MichiganInsuranceCompanyMember_lbl" xml:lang="en-US">MICO [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MichiganInsuranceCompanyMember" xlink:to="dgica_MichiganInsuranceCompanyMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PeninsulaMember" xlink:href="dgica-20251231.xsd#dgica_PeninsulaMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PeninsulaMember_lbl" xml:lang="en-US">Peninsula [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PeninsulaMember" xlink:to="dgica_PeninsulaMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_SouthernMember" xlink:href="dgica-20251231.xsd#dgica_SouthernMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_SouthernMember_lbl" xml:lang="en-US">Southern [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SouthernMember" xlink:to="dgica_SouthernMember_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ParentCompanyMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_ParentCompanyMember_lbl" xml:lang="en-US">Parent Company [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ParentCompanyMember" xlink:to="srt_ParentCompanyMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="srt_ParentCompanyMember_lbl0" xml:lang="en-US">DGI Parent [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ParentCompanyMember" xlink:to="srt_ParentCompanyMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingSegmentsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingSegmentsMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OperatingSegmentsMember_lbl" xml:lang="en-US">Operating Segments [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingSegmentsMember" xlink:to="us-gaap_OperatingSegmentsMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_InvestmentsFunctionSegmentMember" xlink:href="dgica-20251231.xsd#dgica_InvestmentsFunctionSegmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_InvestmentsFunctionSegmentMember_lbl" xml:lang="en-US">Investments [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InvestmentsFunctionSegmentMember" xlink:to="dgica_InvestmentsFunctionSegmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_CommercialLinesSegmentMember" xlink:href="dgica-20251231.xsd#dgica_CommercialLinesSegmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_CommercialLinesSegmentMember_lbl" xml:lang="en-US">Commercial Lines [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialLinesSegmentMember" xlink:to="dgica_CommercialLinesSegmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PersonalLinesSegmentMember" xlink:href="dgica-20251231.xsd#dgica_PersonalLinesSegmentMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PersonalLinesSegmentMember_lbl" xml:lang="en-US">Personal Lines [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PersonalLinesSegmentMember" xlink:to="dgica_PersonalLinesSegmentMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CreditFacilityAxis_lbl" xml:lang="en-US">Credit Facility [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CreditFacilityAxis" xlink:to="us-gaap_CreditFacilityAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LineOfCreditFacilityAxis_lbl" xml:lang="en-US">Lender Name [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="us-gaap_LineOfCreditFacilityAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CededCreditRiskAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CededCreditRiskAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CededCreditRiskAxis_lbl" xml:lang="en-US">Reinsurer, Name [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CededCreditRiskAxis" xlink:to="us-gaap_CededCreditRiskAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_ShareRepurchaseProgramAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ShareRepurchaseProgramAxis_lbl" xml:lang="en-US">Share Repurchase Program [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ShareRepurchaseProgramAxis" xlink:to="srt_ShareRepurchaseProgramAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xml:lang="en-US">Subsequent Event Type [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventTypeAxis" xlink:to="us-gaap_SubsequentEventTypeAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock" xlink:to="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementProcessesIntegratedFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag_lbl" xml:lang="en-US">Cybersecurity Risk Management Processes Integrated [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementProcessesIntegratedFlag" xlink:to="cyd_CybersecurityRiskManagementProcessesIntegratedFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Management Processes Integrated [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock" xlink:to="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementThirdPartyEngagedFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl" xml:lang="en-US">Cybersecurity Risk Management Third Party Engaged [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag" xlink:to="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl" xml:lang="en-US">Cybersecurity Risk Third Party Oversight and Identification Processes [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag" xlink:to="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl" xml:lang="en-US">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag" xlink:to="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock" xlink:to="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskRoleOfManagementTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Role of Management [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskRoleOfManagementTextBlock" xlink:to="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Management Expertise of Management Responsible [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock" xlink:to="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Board of Directors Oversight [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock" xlink:to="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:to="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:to="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag_lbl" xml:lang="en-US">Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag_lbl" xml:lang="en-US">Cybersecurity Risk Management Positions or Committees Responsible [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Management Positions or Committees Responsible [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl" xml:lang="en-US">Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock" xlink:to="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NumberOfOperatingSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NumberOfOperatingSegments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xml:lang="en-US">Number of operating segments (in Segment)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NumberOfOperatingSegments" xlink:to="us-gaap_NumberOfOperatingSegments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_StockOwnershipPercentageHeldByMajorShareholder" xlink:href="dgica-20251231.xsd#dgica_StockOwnershipPercentageHeldByMajorShareholder"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_StockOwnershipPercentageHeldByMajorShareholder_lbl" xml:lang="en-US">Stock ownership percentage held by major shareholder</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StockOwnershipPercentageHeldByMajorShareholder" xlink:to="dgica_StockOwnershipPercentageHeldByMajorShareholder_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PercentageOfVotingPowerOwnedByMajorShareholder" xlink:href="dgica-20251231.xsd#dgica_PercentageOfVotingPowerOwnedByMajorShareholder"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl" xml:lang="en-US">Voting power percentage of outstanding common stock</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfVotingPowerOwnedByMajorShareholder" xlink:to="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary" xlink:href="dgica-20251231.xsd#dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary_lbl" xml:lang="en-US">Percentage of share in results of pooled business subsidiary</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary" xlink:to="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl" xml:lang="en-US">Tax benefit for tax deductions related to option exercises (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend" xlink:href="dgica-20251231.xsd#dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend_lbl" xml:lang="en-US">Minimum percentage of class A common stock declared dividend excess over class B dividend</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend" xlink:to="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxEffectsAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxEffectsAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxEffectsAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple_lbl" xml:lang="en-US">After tax decrease in retained earnings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxEffectsAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple" xlink:to="us-gaap_IncomeTaxEffectsAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty" xlink:href="dgica-20251231.xsd#dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty_lbl" xml:lang="en-US">Percentage of share in results of pooled business owned by third party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty" xlink:to="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance" xlink:href="dgica-20251231.xsd#dgica_PercentageOfPremiumAndLossesRelatedToReinsurance"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance_lbl" xml:lang="en-US">Premiums and losses related to business of MICO</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance" xlink:to="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LossFromCatastrophes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LossFromCatastrophes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LossFromCatastrophes_lbl" xml:lang="en-US">Coverage under catastrophic occurrence</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LossFromCatastrophes" xlink:to="us-gaap_LossFromCatastrophes_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe" xlink:href="dgica-20251231.xsd#dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe_lbl" xml:lang="en-US">Maximum amount of loss coverage under reinsurance agreement of property catastrophe</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe" xlink:to="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount" xlink:href="dgica-20251231.xsd#dgica_CatastropheReinsuranceAgreementContractsRetentionAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl" xml:lang="en-US">Catastrophe reinsurance, set retention amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount" xlink:to="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InsuranceCommissions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InsuranceCommissions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InsuranceCommissions_lbl" xml:lang="en-US">Charges for services</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InsuranceCommissions" xlink:to="us-gaap_InsuranceCommissions_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries" xlink:href="dgica-20251231.xsd#dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries_lbl" xml:lang="en-US">Infrastructure related costs allocated</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries" xlink:to="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ProportionateShareOfRemainingInfrastructureCosts" xlink:href="dgica-20251231.xsd#dgica_ProportionateShareOfRemainingInfrastructureCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl" xml:lang="en-US">Proportionate share of the remaining infrastructure costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ProportionateShareOfRemainingInfrastructureCosts" xlink:to="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseTermOfContract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xml:lang="en-US">Lease agreement term</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeOperatingLeaseTermOfContract" xlink:to="us-gaap_LesseeOperatingLeaseTermOfContract_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_AggregateFairValueOfBondHeld" xlink:href="dgica-20251231.xsd#dgica_AggregateFairValueOfBondHeld"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_AggregateFairValueOfBondHeld_lbl" xml:lang="en-US">Aggregate fair value of bond held</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AggregateFairValueOfBondHeld" xlink:to="dgica_AggregateFairValueOfBondHeld_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_AmortizedCostOfBondHeld" xlink:href="dgica-20251231.xsd#dgica_AmortizedCostOfBondHeld"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_AmortizedCostOfBondHeld_lbl" xml:lang="en-US">Amortized cost of bond held</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AmortizedCostOfBondHeld" xlink:to="dgica_AmortizedCostOfBondHeld_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ThresholdLimitForInvestmentHeld" xlink:href="dgica-20251231.xsd#dgica_ThresholdLimitForInvestmentHeld"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ThresholdLimitForInvestmentHeld_lbl" xml:lang="en-US">Percentage of which the company held security of any issuer</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ThresholdLimitForInvestmentHeld" xlink:to="dgica_ThresholdLimitForInvestmentHeld_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds" xlink:href="dgica-20251231.xsd#dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl" xml:lang="en-US">Percentage of investments in special revenue bonds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds" xlink:to="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax_lbl" xml:lang="en-US">Net unrealized losses arising prior to reclassification date</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss" xlink:href="dgica-20251231.xsd#dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss_lbl" xml:lang="en-US">Amortization of other comprehensive income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss" xlink:to="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl" xml:lang="en-US">Net unrealized losses after adjustment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsDesignatedToClosedBlockFixedMaturitiesHeldToMaturityAtAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsDesignatedToClosedBlockFixedMaturitiesHeldToMaturityAtAmortizedCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsDesignatedToClosedBlockFixedMaturitiesHeldToMaturityAtAmortizedCost_lbl" xml:lang="en-US">Amortized cost of fixed maturities on deposit with various regulatory authorities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsDesignatedToClosedBlockFixedMaturitiesHeldToMaturityAtAmortizedCost" xlink:to="us-gaap_AssetsDesignatedToClosedBlockFixedMaturitiesHeldToMaturityAtAmortizedCost_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition" xlink:href="dgica-20251231.xsd#dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition_lbl" xml:lang="en-US">Number of fixed maturity securities classified as available for sale (in Securities)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition" xlink:to="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ImpairmentOfInvestment" xlink:href="dgica-20251231.xsd#dgica_ImpairmentOfInvestment"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ImpairmentOfInvestment_lbl" xml:lang="en-US">Impairment losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ImpairmentOfInvestment" xlink:to="dgica_ImpairmentOfInvestment_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityTransferAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesHeldToMaturityTransferAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityTransferAmount_lbl" xml:lang="en-US">Sales or transfers, held to maturity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityTransferAmount" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityTransferAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedges" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedges"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DerivativeInstrumentsAndHedges_lbl" xml:lang="en-US">Derivative instruments or hedging activities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DerivativeInstrumentsAndHedges" xlink:to="us-gaap_DerivativeInstrumentsAndHedges_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Depreciation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Depreciation"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_Depreciation_lbl" xml:lang="en-US">Depreciation expense</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Depreciation" xlink:to="us-gaap_Depreciation_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage" xlink:href="dgica-20251231.xsd#dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage_lbl" xml:lang="en-US">Percentage of development</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage" xlink:to="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" xml:lang="en-US">Unsecured demand line of credit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LongTermDebt_lbl" xml:lang="en-US">Outstanding borrowings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebt" xlink:to="us-gaap_LongTermDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xml:lang="en-US">Line of credit facility remaining borrowing capacity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration_lbl" xml:lang="en-US">Debt Instrument, Variable Interest Rate, Type [Extensible Enumeration]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xlink:to="us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xml:lang="en-US">Interest rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesFixedRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FederalHomeLoanBankAdvancesFixedRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FederalHomeLoanBankAdvancesFixedRate_lbl" xml:lang="en-US">Federal home loan bank, cash advance at fixed rate advances</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FederalHomeLoanBankAdvancesFixedRate" xlink:to="us-gaap_FederalHomeLoanBankAdvancesFixedRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate_lbl" xml:lang="en-US">Fixed interest rate on advances</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate" xlink:to="us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentMaturityDate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentMaturityDate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xml:lang="en-US">Debt instrument due date</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentMaturityDate" xlink:to="us-gaap_DebtInstrumentMaturityDate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ContractsInForceSubjectToParticipationThroughReinsurancePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractsInForceSubjectToParticipationThroughReinsurancePercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ContractsInForceSubjectToParticipationThroughReinsurancePercentage_lbl" xml:lang="en-US">Percentage of accumulation of losses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ContractsInForceSubjectToParticipationThroughReinsurancePercentage" xlink:to="us-gaap_ContractsInForceSubjectToParticipationThroughReinsurancePercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_NumberOfReinsuranceCoverages" xlink:href="dgica-20251231.xsd#dgica_NumberOfReinsuranceCoverages"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_NumberOfReinsuranceCoverages_lbl" xml:lang="en-US">Number of reinsurance coverages (in InsuranceCoverage)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfReinsuranceCoverages" xlink:to="dgica_NumberOfReinsuranceCoverages_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ReinsuranceTreatyCoveragePercentageMinimum" xlink:href="dgica-20251231.xsd#dgica_ReinsuranceTreatyCoveragePercentageMinimum"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ReinsuranceTreatyCoveragePercentageMinimum_lbl" xml:lang="en-US">Percentage of reinsurer coverage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReinsuranceTreatyCoveragePercentageMinimum" xlink:to="dgica_ReinsuranceTreatyCoveragePercentageMinimum_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceRetentionExcessRetentionAmountReinsuredPerEvent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRetentionExcessRetentionAmountReinsuredPerEvent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceRetentionExcessRetentionAmountReinsuredPerEvent_lbl" xml:lang="en-US">Additional coverage amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRetentionExcessRetentionAmountReinsuredPerEvent" xlink:to="us-gaap_ReinsuranceRetentionExcessRetentionAmountReinsuredPerEvent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLossCarryforwardsValuationAllowance" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLossCarryforwardsValuationAllowance"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OperatingLossCarryforwardsValuationAllowance_lbl" xml:lang="en-US">Valuation allowance related to the portion of operating loss carryforwards</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLossCarryforwardsValuationAllowance" xlink:to="us-gaap_OperatingLossCarryforwardsValuationAllowance_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_DeferredTaxAssetsNetOther" xlink:href="dgica-20251231.xsd#dgica_DeferredTaxAssetsNetOther"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_DeferredTaxAssetsNetOther_lbl" xml:lang="en-US">Other deferred tax assets, net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DeferredTaxAssetsNetOther" xlink:to="dgica_DeferredTaxAssetsNetOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased_lbl" xml:lang="en-US">Authority to purchase shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased" xlink:to="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockRepurchasedDuringPeriodShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchasedDuringPeriodShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockRepurchasedDuringPeriodShares_lbl" xml:lang="en-US">Stock repurchased (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockRepurchasedDuringPeriodShares" xlink:to="us-gaap_StockRepurchasedDuringPeriodShares_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockCommonShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TreasuryStockCommonShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xml:lang="en-US">Treasury stock (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TreasuryStockCommonShares" xlink:to="us-gaap_TreasuryStockCommonShares_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates" xlink:href="dgica-20251231.xsd#dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates_lbl" xml:lang="en-US">Common stock available for issuance to employees of subsidiaries and affiliates under identical plan (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xml:lang="en-US">Exercisable period of stock options</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates" xlink:href="dgica-20251231.xsd#dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates_lbl" xml:lang="en-US">Common stock available for issuance to directors and those of the subsidiaries and affiliates under identical plan (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors" xlink:href="dgica-20251231.xsd#dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl" xml:lang="en-US">Restricted shares issued to directors (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xml:lang="en-US">Shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_lbl" xml:lang="en-US">Shares available for future option grants (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_NumberOfEqualAnnualInstallments" xlink:href="dgica-20251231.xsd#dgica_NumberOfEqualAnnualInstallments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_NumberOfEqualAnnualInstallments_lbl" xml:lang="en-US">Number of equal annual installments (in Installments)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfEqualAnnualInstallments" xlink:to="dgica_NumberOfEqualAnnualInstallments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xml:lang="en-US">Weighted-average grant date fair value of options granted (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xml:lang="en-US">Fair value of risk-free interest rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xml:lang="en-US">Expected life</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1" xlink:to="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xml:lang="en-US">Expected volatility</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xml:lang="en-US">Expected dividend yield</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xml:lang="en-US">Compensation expense in stock compensation plans (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AllocatedShareBasedCompensationExpense" xlink:to="us-gaap_AllocatedShareBasedCompensationExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense_lbl" xml:lang="en-US">Income tax benefit of stock compensation plans (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xml:lang="en-US">Unrecognized compensation expense related to nonvested share-based compensation granted under the plan (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xml:lang="en-US">Weighted average period of unrecognized compensation expense</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromStockOptionsExercised" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromStockOptionsExercised"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xml:lang="en-US">Cash from option exercises (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromStockOptionsExercised" xlink:to="us-gaap_ProceedsFromStockOptionsExercised_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption" xlink:href="dgica-20251231.xsd#dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl" xml:lang="en-US">Tax benefit for tax deductions from option exercises (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption" xlink:to="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl" xml:lang="en-US">Number of shares available for issuance (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl" xml:lang="en-US">Percentage of purchase price of shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent" xlink:to="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod" xlink:href="dgica-20251231.xsd#dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod_lbl" xml:lang="en-US">Investment on per subscription (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock" xlink:href="dgica-20251231.xsd#dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl" xml:lang="en-US">Number of trading days of subscription period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock" xlink:to="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryAmountAvailableForDividendPayments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatutoryAccountingPracticesStatutoryAmountAvailableForDividendPayments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryAmountAvailableForDividendPayments_lbl" xml:lang="en-US">Available for distribution as dividends</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesStatutoryAmountAvailableForDividendPayments" xlink:to="us-gaap_StatutoryAccountingPracticesStatutoryAmountAvailableForDividendPayments_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NumberOfReportableSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NumberOfReportableSegments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xml:lang="en-US">Number of reportable segments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NumberOfReportableSegments" xlink:to="us-gaap_NumberOfReportableSegments_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_InsuranceSubsidiaryLiability" xlink:href="dgica-20251231.xsd#dgica_InsuranceSubsidiaryLiability"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_InsuranceSubsidiaryLiability_lbl" xml:lang="en-US">Insurance subsidiaries&apos; liabilities for guaranty fund and other insurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InsuranceSubsidiaryLiability" xlink:to="dgica_InsuranceSubsidiaryLiability_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_SurchargeCollectedBySubsidiary" xlink:href="dgica-20251231.xsd#dgica_SurchargeCollectedBySubsidiary"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dgica_SurchargeCollectedBySubsidiary_lbl" xml:lang="en-US">Surcharges collected by insurance subsidiaries</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SurchargeCollectedBySubsidiary" xlink:to="dgica_SurchargeCollectedBySubsidiary_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xml:lang="en-US">Organization and Business</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:to="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsolidationPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConsolidationPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xml:lang="en-US">Basis of Consolidation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ConsolidationPolicyTextBlock" xlink:to="us-gaap_ConsolidationPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UseOfEstimates" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UseOfEstimates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_UseOfEstimates_lbl" xml:lang="en-US">Use of Estimates</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UseOfEstimates" xlink:to="us-gaap_UseOfEstimates_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PriorPeriodReclassificationAdjustmentDescription"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl" xml:lang="en-US">Reclassification</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:to="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentPolicyTextBlock_lbl" xml:lang="en-US">Investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentPolicyTextBlock" xlink:to="us-gaap_InvestmentPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueOfFinancialInstrumentsPolicy"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueOfFinancialInstrumentsPolicy_lbl" xml:lang="en-US">Fair Values of Financial Instruments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:to="us-gaap_FairValueOfFinancialInstrumentsPolicy_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueRecognitionPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock_lbl" xml:lang="en-US">Revenue Recognition</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RevenueRecognitionPolicyTextBlock" xlink:to="us-gaap_RevenueRecognitionPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalizationOfDeferredPolicyAcquisitionCostsPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalizationOfDeferredPolicyAcquisitionCostsPolicy"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CapitalizationOfDeferredPolicyAcquisitionCostsPolicy_lbl" xml:lang="en-US">Policy Acquisition Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CapitalizationOfDeferredPolicyAcquisitionCostsPolicy" xlink:to="us-gaap_CapitalizationOfDeferredPolicyAcquisitionCostsPolicy_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xml:lang="en-US">Property and Equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock" xlink:to="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityReserveEstimatePolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityReserveEstimatePolicy"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilityReserveEstimatePolicy_lbl" xml:lang="en-US">Losses and Loss Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityReserveEstimatePolicy" xlink:to="us-gaap_LiabilityReserveEstimatePolicy_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xml:lang="en-US">Income Taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxPolicyTextBlock" xlink:to="us-gaap_IncomeTaxPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConcentrationRiskCreditRisk" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConcentrationRiskCreditRisk"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xml:lang="en-US">Credit Risk</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ConcentrationRiskCreditRisk" xlink:to="us-gaap_ConcentrationRiskCreditRisk_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ReinsuranceAccountingPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceAccountingPolicy"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ReinsuranceAccountingPolicy_lbl" xml:lang="en-US">Reinsurance Accounting and Reporting</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceAccountingPolicy" xlink:to="us-gaap_ReinsuranceAccountingPolicy_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationRelatedCostsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CompensationRelatedCostsPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CompensationRelatedCostsPolicyTextBlock_lbl" xml:lang="en-US">Stock-Based Compensation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CompensationRelatedCostsPolicyTextBlock" xlink:to="us-gaap_CompensationRelatedCostsPolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerSharePolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xml:lang="en-US">Earnings per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerSharePolicyTextBlock" xlink:to="us-gaap_EarningsPerSharePolicyTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock_lbl" xml:lang="en-US">Goodwill and Other Intangible Assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock" xlink:to="us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_MarketableSecuritiesLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesAvailableForSaleTable" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems" xlink:to="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl"/>
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    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:to="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfPropertyPlantAndEquipmentTable"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:to="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="us-gaap_PropertyPlantAndEquipmentLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsAccidentYearDomain" xlink:to="us-gaap_ShortdurationInsuranceContractsAccidentYearDomain_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsDiscountedLiabilitiesTable" xlink:to="us-gaap_ShortdurationInsuranceContractsDiscountedLiabilitiesTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsDiscountedLiabilitiesLineItems" xlink:to="us-gaap_ShortdurationInsuranceContractsDiscountedLiabilitiesLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTable" xlink:to="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ClaimsDevelopmentLineItems_lbl" xml:lang="en-US">Liability for Losses and Loss Expenses [Abstract]</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesTable" xlink:to="us-gaap_StatutoryAccountingPracticesTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesLineItems" xlink:to="us-gaap_StatutoryAccountingPracticesLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentReportingInformationLineItems" xlink:to="us-gaap_SegmentReportingInformationLineItems_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable_lbl" xml:lang="en-US">Debt Securities, Held-to-Maturity [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:to="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EffectsOfReinsuranceTable_lbl" xml:lang="en-US">Effects of Reinsurance [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectsOfReinsuranceTable" xlink:to="us-gaap_EffectsOfReinsuranceTable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EffectsOfReinsuranceLineItems_lbl" xml:lang="en-US">Allowance for Expected Credit Losses [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectsOfReinsuranceLineItems" xlink:to="us-gaap_EffectsOfReinsuranceLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_SupplementaryInsuranceInformationBySegmentTable" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SupplementaryInsuranceInformationBySegmentTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_SupplementaryInsuranceInformationBySegmentTable_lbl" xml:lang="en-US">SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_SupplementaryInsuranceInformationBySegmentTable" xlink:to="srt_SupplementaryInsuranceInformationBySegmentTable_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_SupplementaryInsuranceInformationBySegmentLineItems" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SupplementaryInsuranceInformationBySegmentLineItems"/>
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    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable" xlink:href="https://xbrl.sec.gov/cyd/2025/cyd-2025.xsd#cyd_CybersecurityRiskManagementStrategyAndGovernanceTable"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="dgica_OrganizationAndBusinessTable" xlink:href="dgica-20251231.xsd#dgica_OrganizationAndBusinessTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_OrganizationAndBusinessTable_lbl" xml:lang="en-US">Organization and Business [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_OrganizationAndBusinessTable" xlink:to="dgica_OrganizationAndBusinessTable_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLossCarryforwardsLineItems" xlink:to="us-gaap_OperatingLossCarryforwardsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_ShareRepurchaseProgramDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramDomain"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityClassOfTreasuryStockLineItems" xlink:to="us-gaap_EquityClassOfTreasuryStockLineItems_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AggregateFairValueOfBondHeld" xlink:to="dgica_AggregateFairValueOfBondHeld_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_AmortizedCostOfBondHeld_lbl0" xml:lang="en-US">The amount of amortized cost of bond held at balance sheet date.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AmortizedCostOfBondHeld" xlink:to="dgica_AmortizedCostOfBondHeld_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl0" xml:lang="en-US">The retention amount of Catastrophe reinsurance agreement contracts.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount" xlink:to="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CededAndRecoveredPremiumsEarned_lbl0" xml:lang="en-US">Amount of earned premiums ceded to other entities and (recoveries) from other entities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CededAndRecoveredPremiumsEarned" xlink:to="dgica_CededAndRecoveredPremiumsEarned_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments_lbl0" xml:lang="en-US">The amount of change in difference between fair value and cost of investments during the reporting period.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments" xlink:to="dgica_ChangeInDifferenceBetweenFairValueAndCostOfInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_DeferredTaxAssetsNetOther_lbl0" xml:lang="en-US">Amount, after allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences, classified as other.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DeferredTaxAssetsNetOther" xlink:to="dgica_DeferredTaxAssetsNetOther_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment_lbl0" xml:lang="en-US">Amount of deferred tax liability attributable to taxable temporary differences classified as loss reserve transition adjustment.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment" xlink:to="dgica_DeferredTaxLiabilitiesTaxLossReserveTransitionAdjustment_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_DividendsFromSubsidiariesAndAffiliates_lbl0" xml:lang="en-US">Amount of dividend represents a return on a parent&apos;s investment in a subsidiary of dividends from subsidiaries and affiliates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DividendsFromSubsidiariesAndAffiliates" xlink:to="dgica_DividendsFromSubsidiariesAndAffiliates_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationProration_lbl0" xml:lang="en-US">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to proration.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationProration" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationProration_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl0" xml:lang="en-US">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to Unrealized gain on equity securities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:to="dgica_EffectiveIncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl0" xml:lang="en-US">Employee service share based compensation tax benefit realized from exercise of stock option.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption" xlink:to="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries_lbl0" xml:lang="en-US">Amount of income (loss) of subsidiary attributable to the equity in undistributed net income of subsidiaries.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries" xlink:to="dgica_EquityInUndistributedNetIncomeLossOfSubsidiaries_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EquityInUndistributedNetIncomeOfSubsidiaries_lbl0" xml:lang="en-US">Amount of income (loss) of subsidiary attributable to the equity in undistributed net income of subsidiaries.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EquityInUndistributedNetIncomeOfSubsidiaries" xlink:to="dgica_EquityInUndistributedNetIncomeOfSubsidiaries_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of federal home loan bank borrowing capacity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock" xlink:to="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss_lbl0" xml:lang="en-US">The amount of GAAP adjustments related to underwriting (income) loss.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss" xlink:to="dgica_GAAPAdjustmentsRelatedToUnderwritingIncomeLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrossRealizedGainLossOnInvestments_lbl0" xml:lang="en-US">Amount of gross realized gain/losses on investment.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedGainLossOnInvestments" xlink:to="dgica_GrossRealizedGainLossOnInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrossRealizedGainOnInvestments_lbl0" xml:lang="en-US">Amount of gross realized gain on investment.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedGainOnInvestments" xlink:to="dgica_GrossRealizedGainOnInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrossRealizedLossOnInvestments_lbl0" xml:lang="en-US">Amount of gross realized loss on investment.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrossRealizedLossOnInvestments" xlink:to="dgica_GrossRealizedLossOnInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ImpairmentOfInvestment_lbl0" xml:lang="en-US">The amount by which the fair value of an investment is less than the amortized cost basis or carrying amount of that investment at the balance sheet date and the decline in fair value is deemed to be other than temporary, before considering whether or not such amount is recognized in earnings or other comprehensive income.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ImpairmentOfInvestment" xlink:to="dgica_ImpairmentOfInvestment_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments_lbl0" xml:lang="en-US">Amount of income (loss) from continuing operations before deduction of income (loss) attributable to income (loss) from equity method investments.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments" xlink:to="dgica_IncomeLossFromContinuingOperationsBeforeIncomeLossFromEquityMethodInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl0" xml:lang="en-US">Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to Unrealized gain on equity securities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities" xlink:to="dgica_IncomeTaxRateReconciliationUnrealizedGainLossonEquitySecurities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncomeTaxReconciliationProration_lbl0" xml:lang="en-US">Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to proration.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncomeTaxReconciliationProration" xlink:to="dgica_IncomeTaxReconciliationProration_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments_lbl0" xml:lang="en-US">The increase decrease in consolidation eliminations and adjustments.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments" xlink:to="dgica_IncreaseDecreaseInConsolidationEliminationsAndAdjustments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl0" xml:lang="en-US">The increase (decrease) in deferred federal income taxes.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes" xlink:to="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncreaseDecreaseInParentOnlyNetIncome_lbl0" xml:lang="en-US">Increase (decrease) in parent only net income reported in the entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInParentOnlyNetIncome" xlink:to="dgica_IncreaseDecreaseInParentOnlyNetIncome_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable_lbl0" xml:lang="en-US">The increase (decrease) in salvage and subrogation recoverable.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable" xlink:to="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries_lbl0" xml:lang="en-US">Infrastructure related costs allocated to insurance subsidiaries.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries" xlink:to="dgica_InfrastructureRelatedCostsAllocatedToInsuranceSubsidiaries_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_InsuranceSubsidiaryLiability_lbl0" xml:lang="en-US">Amount of Insurance subsidiaries&apos; liabilities for guaranty fund and other insurance.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InsuranceSubsidiaryLiability" xlink:to="dgica_InsuranceSubsidiaryLiability_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_LiabilityForLossesAndLossExpensesTextBlock_lbl0" xml:lang="en-US">The entire disclosure for liability for losses and loss expenses.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_LiabilityForLossesAndLossExpensesTextBlock" xlink:to="dgica_LiabilityForLossesAndLossExpensesTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses_lbl0" xml:lang="en-US">Liability as of the balance sheet date for amounts representing estimated cost of settling unpaid claims under the terms of the underlying insurance policies, less estimated reinsurance recoveries on such claims. This includes an estimate for claims which have been incurred but not reported. Claim adjustment expenses represent the costs estimated to be incurred in the settlement of unpaid claims, after the Cumulative effect of adoption of updated accounting guidance for credit losses.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses" xlink:to="dgica_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNetAfterCumulativeEffectOfAdoptionOfUpdatedAccountingGuidanceForCreditLosses_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage_lbl0" xml:lang="en-US">Percentage of development related to net carried reserves and resulted primarily from lower-than-expected severity in the workers&apos; compensation and personal automobile lines of business, partially offset by higher-than-expected severity in the commercial automobile and commercial multi-peril lines of business, for accident years.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage" xlink:to="dgica_ManagementsAssertionOfAdequacyOfInsuranceReservesPercentage_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe_lbl0" xml:lang="en-US">The maximum amount of loss coverage under reinsurance agreement of property catastrophe.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe" xlink:to="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend_lbl0" xml:lang="en-US">The minimum percentage of excess class A common stock dividend over class B dividend for declaration and payment of cash dividends.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend" xlink:to="dgica_MinimumPercentageOfExcessClassACommonStockDividendOverClassBDividend_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_NumberOfEqualAnnualInstallments_lbl0" xml:lang="en-US">The number of equal annual installments&#8221; related to RSUs vesting in three equal annual installments,</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfEqualAnnualInstallments" xlink:to="dgica_NumberOfEqualAnnualInstallments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl0" xml:lang="en-US">Number of periods considered to arrive at average price to issue common stock, in &apos;PnYnMnDTnHnMnS&apos; format, for example, &apos;P1Y5M13D&apos; represents the reported fact of one year, five months, and thirteen days.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock" xlink:to="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_NumberOfReinsuranceCoverages_lbl0" xml:lang="en-US">The number of reinsurance coverages.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfReinsuranceCoverages" xlink:to="dgica_NumberOfReinsuranceCoverages_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition_lbl0" xml:lang="en-US">The number of securities classified as available for sale in unrealized loss position held by the entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition" xlink:to="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries_lbl0" xml:lang="en-US">The net cash paid (received) associated with the acquisition or disposal of all payments for proceeds from investment.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries" xlink:to="dgica_PaymentsForProceedsFromInvestmentInSubsidiaries_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl0" xml:lang="en-US">Percentage of different kind of bond included in investment in special revenue bonds.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds" xlink:to="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance_lbl0" xml:lang="en-US">The percentage of premium and losses related to reinsurance</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance" xlink:to="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty_lbl0" xml:lang="en-US">The percentage of share in results of pooled business owned by third party.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty" xlink:to="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary_lbl0" xml:lang="en-US">The percentage of share in results of pooled business subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary" xlink:to="dgica_PercentageOfShareInResultsOfPooledBusinessSubsidiary_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl0" xml:lang="en-US">The percentage of voting power owned by major shareholder.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfVotingPowerOwnedByMajorShareholder" xlink:to="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar_lbl0" xml:lang="en-US">Pledged assets separately reported assets pledged as collateral at par.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar" xlink:to="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl0" xml:lang="en-US">Proportionate share of the remaining infrastructure costs.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ProportionateShareOfRemainingInfrastructureCosts" xlink:to="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss_lbl0" xml:lang="en-US">The amount of reclassification adjustment out of accumulated other comprehensive income amortization of unrecognized loss during the reporting period.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss" xlink:to="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock_lbl0" xml:lang="en-US">The entire disclosure of reconciliation of statutory filings to amounts reported in the consolidated financial statements.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock" xlink:to="dgica_ReconciliationOfStatutoryFilingsToAmountsReportedInTheConsolidatedFinancialStatementsTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl0" xml:lang="en-US">The tabular disclosure of reconciliations of statutory net income (loss) and capital and surplus to the net income (loss) and stockholders&apos; equity amounts.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock" xlink:to="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ReinsurancePremiumsEarned_lbl1" xml:lang="en-US">Reinsurance premiums earned.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReinsurancePremiumsEarned" xlink:to="dgica_ReinsurancePremiumsEarned_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ReinsuranceTreatyCoveragePercentageMinimum_lbl0" xml:lang="en-US">Minimum percentage of reinsurance treaty coverage.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReinsuranceTreatyCoveragePercentageMinimum" xlink:to="dgica_ReinsuranceTreatyCoveragePercentageMinimum_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of amortized cost and estimated fair value of fixed maturities securities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock" xlink:to="dgica_ScheduleOfAmortizedCostAndEstimatedFairValueOfFixedMaturitiesSecuritiesTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of cost and estimated fair value of equity securities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock" xlink:to="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of effect of affiliated reinsurance transactions on net losses and loss expenses insurance subsidiaries incurred.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetLossesAndLossExpensesInsuranceSubsidiariesIncurredTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of effect of affiliated reinsurance transactions on net premiums of subsidiaries earned.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of effect of reinsurance on premiums earned.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsEarnedTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of effect of reinsurance on premiums written.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of reinsurance assumed from pool.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceAssumedFromPoolTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of reinsurance ceded pursuant to share repurchase agreements.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededPursuantToShareRepurchaseAgreementsTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of reinsurance ceded to pool.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of reinsurance ceded transactions with both affiliated and unaffiliated reinsurers.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededTransactionsWithBothAffiliatedAndUnaffiliatedReinsurersTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of reinsurance ceded transactions with unaffiliated reinsurers.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock" xlink:to="dgica_ScheduleOfReinsuranceCededTransactionsWithUnaffiliatedReinsurersTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of subsidiaries insurance ceded pursuant to reinsurance agreements.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock" xlink:to="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_SegmentReportingRevenues_lbl0" xml:lang="en-US">Amount of segment revenue recognized from goods sold, services rendered, insurance premiums, or other activities that constitute an earning process. Includes, but is not limited to, investment and interest income before deduction of interest expense when recognized as a component of revenue, and sales and trading gain (loss).</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SegmentReportingRevenues" xlink:to="dgica_SegmentReportingRevenues_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod_lbl0" xml:lang="en-US">Share based compensation arrangement by share based payment award maximum amount of subscription per period.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountOfSubscriptionPerPeriod_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl0" xml:lang="en-US">Share based compensation arrangement by share based payment award number of restricted shares to issue to all directors.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates_lbl0" xml:lang="en-US">Share based compensation arrangement by share based payment award number of shares authorized to issue to employees of subsidiary and affiliates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToEmployeesOfSubsidiaryAndAffiliates_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates_lbl0" xml:lang="en-US">Share based compensation arrangement by share based payment award number of shares authorized to issue to our directors and of subsidiaries and affiliates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorizedToIssueToOurDirectorsAndOfSubsidiariesAndAffiliates_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ShortTermInvestmentsAtCost_lbl1" xml:lang="en-US">Amount of investments including trading securities, available-for-sale securities, held-to-maturity securities, and short-term investments at cost, which approximates fair value.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShortTermInvestmentsAtCost" xlink:to="dgica_ShortTermInvestmentsAtCost_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus_lbl0" xml:lang="en-US">The amount of statutory unassigned (deficit) surplus as of the balance sheet date using prescribed or permitted statutory accounting practices (rather than GAAP, if different) of the state or country.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus" xlink:to="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss_lbl0" xml:lang="en-US">The amount of statutory accounting practices underwriting income (loss).</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss" xlink:to="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities_lbl0" xml:lang="en-US">Statutory capital and surplus deficit reconciliation, fixed maturities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities" xlink:to="dgica_StatutoryCapitalAndSurplusDeficitReconciliationFixedMaturities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes_lbl0" xml:lang="en-US">Statutory capital and surplus reconciliation, deferred federal income taxes.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationDeferredFederalIncomeTaxes_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl0" xml:lang="en-US">Statutory capital and surplus reconciliation, parent-only equity and other adjustments.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments_lbl0" xml:lang="en-US">Statutory capital and surplus reconciliation, non admitted assets and other adjustments.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationNonAdmittedAssetsAndOtherAdjustments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable_lbl0" xml:lang="en-US">Statutory capital and surplus reconciliation, salvage and subrogation recoverable.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationSalvageAndSubrogationRecoverable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StockOwnershipPercentageHeldByMajorShareholder_lbl0" xml:lang="en-US">The percentage of stock ownership held by major shareholder.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StockOwnershipPercentageHeldByMajorShareholder" xlink:to="dgica_StockOwnershipPercentageHeldByMajorShareholder_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_SurchargeCollectedBySubsidiary_lbl0" xml:lang="en-US">Amount related to surcharges collected by insurance subsidiaries on behalf of regulatory authorities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SurchargeCollectedBySubsidiary" xlink:to="dgica_SurchargeCollectedBySubsidiary_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ThresholdLimitForInvestmentHeld_lbl0" xml:lang="en-US">Percentage of threshold limit for investment held at balance sheet date.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ThresholdLimitForInvestmentHeld" xlink:to="dgica_ThresholdLimitForInvestmentHeld_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_AffiliatedEntityAndUnaffiliatedEntityMember_lbl0" xml:lang="en-US">Information by type of related party affiliated entity and unaffiliated entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AffiliatedEntityAndUnaffiliatedEntityMember" xlink:to="dgica_AffiliatedEntityAndUnaffiliatedEntityMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_AgencyStockPurchasePlan2021Member_lbl0" xml:lang="en-US">Information by plan name for agency stock purchase plan adopted in 2021.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AgencyStockPurchasePlan2021Member" xlink:to="dgica_AgencyStockPurchasePlan2021Member_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_AgencyStockPurchasePlanMember_lbl0" xml:lang="en-US">Information by plan name for agency stock purchase plan.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AgencyStockPurchasePlanMember" xlink:to="dgica_AgencyStockPurchasePlanMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_AtlanticStatesMember_lbl0" xml:lang="en-US">Insurance subsidiary, Atlantic States Insurance Company (&quot;Atlantic States&quot;).</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AtlanticStatesMember" xlink:to="dgica_AtlanticStatesMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CatastropheReinsuranceMember_lbl0" xml:lang="en-US">Name of the reinsurance.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CatastropheReinsuranceMember" xlink:to="dgica_CatastropheReinsuranceMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CommercialAutomobileMember_lbl0" xml:lang="en-US">Commercial automobile is material lines of business of insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialAutomobileMember" xlink:to="dgica_CommercialAutomobileMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CommercialLinesSegmentMember_lbl0" xml:lang="en-US">The commercial lines products of our insurance subsidiaries consist primarily of commercial automobile, commercial multi-peril and workers&apos; compensation policies.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialLinesSegmentMember" xlink:to="dgica_CommercialLinesSegmentMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_CommercialMultiperilMember_lbl0" xml:lang="en-US">Commercial multi-peril is material lines of business of insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CommercialMultiperilMember" xlink:to="dgica_CommercialMultiperilMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_DonegalMutualInsuranceCompanyMember_lbl1" xml:lang="en-US">Name of the entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DonegalMutualInsuranceCompanyMember" xlink:to="dgica_DonegalMutualInsuranceCompanyMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_DonegalMutualMember_lbl0" xml:lang="en-US">Name of the entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_DonegalMutualMember" xlink:to="dgica_DonegalMutualMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EducationBondMember_lbl0" xml:lang="en-US">Education Bonds are financial products designed specifically for saving and investing to meet lifelong education expenses for yourself, your family or others dear and important to you.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EducationBondMember" xlink:to="dgica_EducationBondMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EmployeeStockPurchasePlanMember_lbl0" xml:lang="en-US">Information by plan name for employee stock purchase plan.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeStockPurchasePlanMember" xlink:to="dgica_EmployeeStockPurchasePlanMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_EquityIncentivePlanMember_lbl0" xml:lang="en-US">Information by plan name for equity Incentive plan .</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EquityIncentivePlanMember" xlink:to="dgica_EquityIncentivePlanMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrantDateFourMember_lbl0" xml:lang="en-US">Information by date or year award under share-based payment arrangement is granted.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateFourMember" xlink:to="dgica_GrantDateFourMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrantDateOneMember_lbl0" xml:lang="en-US">Information by date or year award under share-based payment arrangement is granted.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateOneMember" xlink:to="dgica_GrantDateOneMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrantDateThreeMember_lbl0" xml:lang="en-US">Information by date or year award under share-based payment arrangement is granted.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateThreeMember" xlink:to="dgica_GrantDateThreeMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_GrantDateTwoMember_lbl0" xml:lang="en-US">Information by date or year award under share-based payment arrangement is granted.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_GrantDateTwoMember" xlink:to="dgica_GrantDateTwoMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_HomeownersMember_lbl0" xml:lang="en-US">Homeowners is material lines of business of insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_HomeownersMember" xlink:to="dgica_HomeownersMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_InsuranceSubsidiariesMember_lbl0" xml:lang="en-US">Insurance subsidiaries.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InsuranceSubsidiariesMember" xlink:to="dgica_InsuranceSubsidiariesMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_InvestmentsFunctionSegmentMember_lbl0" xml:lang="en-US">Investment function or financial market that are based on various asset types, industries, or investment strategies.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InvestmentsFunctionSegmentMember" xlink:to="dgica_InvestmentsFunctionSegmentMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateFiveMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateFiveMember" xlink:to="dgica_IssueDateFiveMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateFourMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateFourMember" xlink:to="dgica_IssueDateFourMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateOneMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateOneMember" xlink:to="dgica_IssueDateOneMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateSixMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateSixMember" xlink:to="dgica_IssueDateSixMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateThreeMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateThreeMember" xlink:to="dgica_IssueDateThreeMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_IssueDateTwoMember_lbl0" xml:lang="en-US">The information about the shares issued dates.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IssueDateTwoMember" xlink:to="dgica_IssueDateTwoMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ManufacturersAndTradersTrustCompanyMember_lbl0" xml:lang="en-US">Information by name of manufacturers and traders trust company.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ManufacturersAndTradersTrustCompanyMember" xlink:to="dgica_ManufacturersAndTradersTrustCompanyMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_MichiganInsuranceCompanyMember_lbl0" xml:lang="en-US">An insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_MichiganInsuranceCompanyMember" xlink:to="dgica_MichiganInsuranceCompanyMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PeninsulaMember_lbl0" xml:lang="en-US">An insurance subsidiary, the Peninsula Insurance Company and Peninsula Indemnity Company (collectively, &quot;Peninsula&quot;).</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PeninsulaMember" xlink:to="dgica_PeninsulaMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PersonalAutomobileMember_lbl0" xml:lang="en-US">Personal automobile is material lines of business of insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PersonalAutomobileMember" xlink:to="dgica_PersonalAutomobileMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_PersonalLinesSegmentMember_lbl0" xml:lang="en-US">The personal lines products of our insurance subsidiaries consist primarily of homeowners and private passenger automobile policies.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PersonalLinesSegmentMember" xlink:to="dgica_PersonalLinesSegmentMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_SouthernMember_lbl0" xml:lang="en-US">An insurance subsidiary, Southern Insurance Company of Virginia (&quot;Southern&quot;).</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SouthernMember" xlink:to="dgica_SouthernMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_SpecialRevenueBondMember_lbl0" xml:lang="en-US">Special revenue bond means any security or other instrument, under which a payment obligation is created, issued by or on behalf of or payable or guaranteed by a governmental unit to finance a project serving a substantial public purpose, and not payable from any of the sources enumerated in subsection (p) of this section; or securities which are the functional equivalent of the foregoing issued by a not-for-profit corporation.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_SpecialRevenueBondMember" xlink:to="dgica_SpecialRevenueBondMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_StockRepurchaseProgramMember_lbl0" xml:lang="en-US">A program by which a company buys back its own shares from the marketplace.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StockRepurchaseProgramMember" xlink:to="dgica_StockRepurchaseProgramMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_ThirdPartyReinsuranceMember_lbl0" xml:lang="en-US">Information by reinsurer or group of third party reinsurance.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ThirdPartyReinsuranceMember" xlink:to="dgica_ThirdPartyReinsuranceMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_UnaffiliatedEntityMember_lbl0" xml:lang="en-US">Information by type of related party unaffiliated entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_UnaffiliatedEntityMember" xlink:to="dgica_UnaffiliatedEntityMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_WaterAndSewerUtilityBondsMember_lbl0" xml:lang="en-US">A revenue bond issued by a municipality to finance the building or extension of water and sewer systems. Interest and principal payments on the bond are derived from and are limited to revenues received from charges to the users of the systems.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_WaterAndSewerUtilityBondsMember" xlink:to="dgica_WaterAndSewerUtilityBondsMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_WorkersCompensationMember_lbl1" xml:lang="en-US">Workers compensation is material lines of business of insurance subsidiary.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_WorkersCompensationMember" xlink:to="dgica_WorkersCompensationMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_OrganizationAndBusinessLineItems_lbl0" xml:lang="en-US">Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_OrganizationAndBusinessLineItems" xlink:to="dgica_OrganizationAndBusinessLineItems_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="dgica_OrganizationAndBusinessTable_lbl0" xml:lang="en-US">Schedule of information related to organization and business.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_OrganizationAndBusinessTable" xlink:to="dgica_OrganizationAndBusinessTable_lbl0"/>
    <loc xlink:type="locator" xlink:label="country_US" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="country_US_lbl" xml:lang="en-US">US</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="country_US" xlink:to="country_US_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SecuredOvernightFinancingRateSofrMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrMember_lbl" xml:lang="en-US">SOFR</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:to="us-gaap_SecuredOvernightFinancingRateSofrMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock_lbl0" xml:lang="en-US">Statutory Accounting Practices Disclosure [Table Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock" xlink:to="us-gaap_StatutoryAccountingPracticesDisclosureTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl0" xml:lang="en-US">Cybersecurity Risk Role of Management [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskRoleOfManagementTextBlock" xlink:to="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease_lbl0" xml:lang="en-US">Debt Securities, Held-to-Maturity, Allowance for Credit Loss, Period Increase (Decrease)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortDurationInsuranceContractsAccidentYear2018Member_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Accident Year 2018 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortDurationInsuranceContractsAccidentYear2018Member" xlink:to="us-gaap_ShortDurationInsuranceContractsAccidentYear2018Member_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_AgencyStockPurchasePlan2024Member_lbl0" xml:lang="en-US">Agency Stock Purchase Plan2024 Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_AgencyStockPurchasePlan2024Member" xlink:to="dgica_AgencyStockPurchasePlan2024Member_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl0" xml:lang="en-US">Deferred Tax Assets, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:to="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncreaseDecreaseInPremiumsReceivable_lbl0" xml:lang="en-US">Increase (Decrease) in Premiums Receivable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInPremiumsReceivable" xlink:to="us-gaap_IncreaseDecreaseInPremiumsReceivable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerShareDiluted_lbl1" xml:lang="en-US">Earnings Per Share, Diluted</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Incurred Claims and Allocated Claim Adjustment Expense, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:to="us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl0" xml:lang="en-US">Deferred Tax Liabilities, Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxLiabilitiesOther" xlink:to="us-gaap_DeferredTaxLiabilitiesOther_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RetainedEarningsMember_lbl0" xml:lang="en-US">Retained Earnings [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsMember" xlink:to="us-gaap_RetainedEarningsMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ManufacturersAndTradersTrustCompanyMember_lbl1" xml:lang="en-US">Manufacturers And Traders Trust Company Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ManufacturersAndTradersTrustCompanyMember" xlink:to="dgica_ManufacturersAndTradersTrustCompanyMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquityClassOfTreasuryStockLineItems_lbl0" xml:lang="en-US">Equity, Class of Treasury Stock [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityClassOfTreasuryStockLineItems" xlink:to="us-gaap_EquityClassOfTreasuryStockLineItems_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonClassBMember_lbl1" xml:lang="en-US">Common Class B [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease_lbl0" xml:lang="en-US">Reinsurance Recoverable, Allowance for Credit Loss, Period Increase (Decrease)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease" xlink:to="us-gaap_ReinsuranceRecoverableAllowanceForCreditLossPeriodIncreaseDecrease_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl1" xml:lang="en-US">Proportionate Share Of Remaining Infrastructure Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ProportionateShareOfRemainingInfrastructureCosts" xlink:to="dgica_ProportionateShareOfRemainingInfrastructureCosts_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetsAbstract_lbl0" xml:lang="en-US">Assets [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AssetsAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl1" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Basic</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_USTreasuryAndGovernmentMember_lbl0" xml:lang="en-US">US Treasury and Government [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_USTreasuryAndGovernmentMember" xlink:to="us-gaap_USTreasuryAndGovernmentMember_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_StatutoryAccountingPracticesUnderwritingIncomeLoss_lbl1" xml:lang="en-US">Statutory Accounting Practices Underwriting Income Loss</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome_lbl0" xml:lang="en-US">SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Net Investment Income</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_IncomeTaxReconciliationProration_lbl1" xml:lang="en-US">Income Tax Reconciliation Proration</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ThresholdLimitForInvestmentHeld_lbl1" xml:lang="en-US">Threshold Limit For Investment Held</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock_lbl0" xml:lang="en-US">Investments Classified by Contractual Maturity Date [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Subsidiaries Insurance Ceded Pursuant To Reinsurance Agreements Table Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock" xlink:to="dgica_ScheduleOfSubsidiariesInsuranceCededPursuantToReinsuranceAgreementsTableTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProfessionalLiabilityInsuranceMember_lbl0" xml:lang="en-US">Professional Liability Insurance [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProfessionalLiabilityInsuranceMember" xlink:to="us-gaap_ProfessionalLiabilityInsuranceMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl0" xml:lang="en-US">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag" xlink:to="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Effect Of Reinsurance On Premiums Written Table Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfReinsuranceOnPremiumsWrittenTableTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock_lbl0" xml:lang="en-US">Schedule of Share-Based Compensation, Employee Stock Purchase Plan, Activity [Table Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock" xlink:to="us-gaap_ScheduleOfShareBasedCompensationEmployeeStockPurchasePlanActivityTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Prior Year Income Taxes, Amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes" xlink:to="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_lbl0" xml:lang="en-US">Line of Credit Facility, Current Borrowing Capacity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_SouthernMember_lbl1" xml:lang="en-US">Southern Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_InsuranceSubsidiariesMember_lbl1" xml:lang="en-US">Insurance Subsidiaries Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_InsuranceSubsidiariesMember" xlink:to="dgica_InsuranceSubsidiariesMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredIncomeTaxAssetsNet_lbl0" xml:lang="en-US">Deferred Income Tax Assets, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredIncomeTaxAssetsNet" xlink:to="us-gaap_DeferredIncomeTaxAssetsNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PolicyholderDividends_lbl0" xml:lang="en-US">Policyholder Dividends, Expense</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PolicyholderDividends" xlink:to="us-gaap_PolicyholderDividends_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl0" xml:lang="en-US">Cybersecurity Risk Third Party Oversight and Identification Processes [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag" xlink:to="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl1" xml:lang="en-US">Percentage Of Different Kind Of Bond Included In Investment In Special Revenue Bonds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds" xlink:to="dgica_PercentageOfDifferentKindOfBondIncludedInInvestmentInSpecialRevenueBonds_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Effect Of Affiliated Reinsurance Transactions On Net Premiums Of Subsidiaries Earned Table Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock" xlink:to="dgica_ScheduleOfEffectOfAffiliatedReinsuranceTransactionsOnNetPremiumsOfSubsidiariesEarnedTableTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl0" xml:lang="en-US">OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment, before Tax</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Cost And Estimated Fair Value Of Equity Securities Table Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock" xlink:to="dgica_ScheduleOfCostAndEstimatedFairValueOfEquitySecuritiesTableTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_lbl0" xml:lang="en-US">Debt Securities, Held-to-Maturity, Accumulated Unrecognized Loss</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl0" xml:lang="en-US">Deferred Tax Assets, Gross</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsGross" xlink:to="us-gaap_DeferredTaxAssetsGross_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums_lbl0" xml:lang="en-US">SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Unearned Premium</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums" xlink:to="us-gaap_SupplementaryInsuranceInformationUnearnedPremiums_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_GoodwillAndIntangibleAssetsPolicyTextBlock_lbl0" xml:lang="en-US">Goodwill and Intangible Assets, Policy [Policy Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl0" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock_lbl0" xml:lang="en-US">Accounting Standards Update and Change in Accounting Principle [Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PeninsulaMember_lbl1" xml:lang="en-US">Peninsula Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DividendsPayableCurrentAndNoncurrent_lbl0" xml:lang="en-US">Dividends Payable</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortDurationInsuranceContractAccidentYear2025Member_lbl0" xml:lang="en-US">Short-Duration Insurance Contract, Accident Year 2025 [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncreaseDecreaseInReinsuranceRecoverable_lbl0" xml:lang="en-US">Increase (Decrease) in Reinsurance Recoverable</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl0" xml:lang="en-US">Cybersecurity Risk Management Third Party Engaged [Flag]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaimsAbstract_lbl0" xml:lang="en-US">Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PledgedAssetsSeparatelyReportedAssetsPledgedAsCollateralAtPar_lbl1" xml:lang="en-US">Pledged Assets Separately Reported Assets Pledged As Collateral At Par</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl0" xml:lang="en-US">Share-Based Payment Arrangement, Exercise of Option, Tax Benefit</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Purchase Price of Common Stock, Percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent" xlink:to="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl1" xml:lang="en-US">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl1" xml:lang="en-US">Statutory Capital And Surplus Reconciliation Equity And Other Adjustments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments" xlink:to="dgica_StatutoryCapitalAndSurplusReconciliationEquityAndOtherAdjustments_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_Depreciation_lbl0" xml:lang="en-US">Depreciation</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl1" xml:lang="en-US">Number Of Periods Considered To Arrived At Average Price To Issue Common Stock</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock" xlink:to="dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems_lbl0" xml:lang="en-US">Schedule of Held-to-Maturity Securities [Line Items]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl0" xml:lang="en-US">Common Stock, Shares, Outstanding</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl1" xml:lang="en-US">Increase Decrease In Deferred Federal Income Taxes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes" xlink:to="dgica_IncreaseDecreaseInDeferredFederalIncomeTaxes_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl0" xml:lang="en-US">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Excluding Exchange Rate Effect, Including Discontinued Operation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions_lbl0" xml:lang="en-US">Share-Based Payment Arrangement, Option, Exercise Price Range, Shares Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions" xlink:to="us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl0" xml:lang="en-US">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation_lbl0" xml:lang="en-US">Income Tax Expense (Benefit), Intraperiod Tax Allocation</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation" xlink:to="us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsAmountAndPercentAbstract_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation Other Reconciling Items Amount And Percent Abstract</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_IncreaseDecreaseOfStatutoryNetIncomeLossOfInsuranceSubsidiariesAbstract_lbl0" xml:lang="en-US">Increase Decrease Of Statutory Net Income Loss Of Insurance Subsidiaries Abstract</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxReconciliationDeductionsDividends_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Deduction, Dividends, Amount</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharesIssued_lbl1" xml:lang="en-US">Shares, Issued</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl1" xml:lang="en-US">Percentage Of Voting Power Owned By Major Shareholder</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_PercentageOfVotingPowerOwnedByMajorShareholder" xlink:to="dgica_PercentageOfVotingPowerOwnedByMajorShareholder_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_EmployeeStockPurchasePlanMember_lbl1" xml:lang="en-US">Employee Stock Purchase Plan Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeStockPurchasePlanMember" xlink:to="dgica_EmployeeStockPurchasePlanMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetInvestmentIncome_lbl2" xml:lang="en-US">Net Investment Income</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherLiabilities_lbl0" xml:lang="en-US">Other Liabilities</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquitySecuritiesMember_lbl0" xml:lang="en-US">Equity Securities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquitySecuritiesMember" xlink:to="us-gaap_EquitySecuritiesMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_MinimumMember_lbl0" xml:lang="en-US">Minimum [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_lbl0" xml:lang="en-US">Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Prior Years</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1" xlink:to="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl0" xml:lang="en-US">Line of Credit Facility, Remaining Borrowing Capacity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl0" xml:lang="en-US">Payments to Acquire Property, Plant, and Equipment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:to="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortDurationInsuranceContractAccidentYear2023Member_lbl0" xml:lang="en-US">Short-Duration Insurance Contract, Accident Year 2023 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortDurationInsuranceContractAccidentYear2023Member" xlink:to="us-gaap_ShortDurationInsuranceContractAccidentYear2023Member_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsToAcquireEquitySecuritiesFvNi_lbl0" xml:lang="en-US">Payments to Acquire Equity Securities, FV-NI</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl0" xml:lang="en-US">Cybersecurity Risk Management Processes Integrated [Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_TreasuryStockCommonMember_lbl0" xml:lang="en-US">Treasury Stock, Common [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl0" xml:lang="en-US">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_StatutoryAccountingPracticesStatutoryUnassignedDeficitSurplus_lbl1" xml:lang="en-US">Statutory Accounting Practices Statutory Unassigned Deficit Surplus</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl0" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_CommercialAutomobileMember_lbl1" xml:lang="en-US">Commercial Automobile Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_WaterAndSewerUtilityBondsMember_lbl1" xml:lang="en-US">Water And Sewer Utility Bonds Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_IncreaseDecreaseInSalvageAndSubrogationRecoverable_lbl1" xml:lang="en-US">Increase Decrease In Salvage And Subrogation Recoverable</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl1" xml:lang="en-US">Debt Securities, Held-to-Maturity, Amortized Cost, after Allowance for Credit Loss</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl0" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdditionalPaidInCapitalMember" xlink:to="us-gaap_AdditionalPaidInCapitalMember_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl1" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearSix_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Historical Claims Duration, Year Six</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsForLossesAndLossAdjustmentExpense_lbl0" xml:lang="en-US">Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortDurationInsuranceContractAccidentYear2021Member_lbl0" xml:lang="en-US">Short-Duration Insurance Contract, Accident Year 2021 [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsForProceedsFromProductiveAssets_lbl0" xml:lang="en-US">Payments for (Proceeds from) Productive Assets</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivities_lbl0" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseOpeningBalanceAdjustments_lbl0" xml:lang="en-US">Liability for Unpaid Claims and Claims Adjustment Expense, Adjustments</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl0" xml:lang="en-US">Property, Plant and Equipment, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock" xlink:to="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquitySecuritiesFvNiCost_lbl0" xml:lang="en-US">Equity Securities, FV-NI, Cost</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl0" xml:lang="en-US">Deferred Tax Assets, Operating Loss Carryforwards, State and Local</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal" xlink:to="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxReconciliationOtherReconcilingItems_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationOtherReconcilingItems" xlink:to="us-gaap_IncomeTaxReconciliationOtherReconcilingItems_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsOfDividends_lbl1" xml:lang="en-US">Payments of Dividends</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_MaximumAmountOfLossCoverageUnderReinsuranceAgreementOfPropertyCatastrophe_lbl1" xml:lang="en-US">Maximum Amount Of Loss Coverage Under Reinsurance Agreement Of Property Catastrophe</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortDurationInsuranceContractAccidentYear2020Member_lbl0" xml:lang="en-US">Short-Duration Insurance Contract, Accident Year 2020 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortDurationInsuranceContractAccidentYear2020Member" xlink:to="us-gaap_ShortDurationInsuranceContractAccidentYear2020Member_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock_lbl0" xml:lang="en-US">Condensed Cash Flow Statement [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearEight_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Historical Claims Duration, Year Eight</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl0" xml:lang="en-US">Schedule of Deferred Tax Assets and Liabilities [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsHistoricalClaimsDurationYearNine_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Historical Claims Duration, Year Nine</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Tax Expense (Benefit), Share-Based Payment Arrangement, Percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl0" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl0" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsDiscountedLiabilitiesLineItems_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Discounted Liabilities [Line Items]</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredTaxAssetsValuationAllowance" xlink:to="us-gaap_DeferredTaxAssetsValuationAllowance_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl0" xml:lang="en-US">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Liability for Unpaid Claims and Allocated Claim Adjustment Expense, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet" xlink:to="us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_lbl0" xml:lang="en-US">Proceeds from Maturities, Prepayments and Calls of Debt Securities, Available-for-Sale</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded_lbl0" xml:lang="en-US">Policyholder Benefits and Claims Incurred, Ceded</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ClaimsDevelopmentLineItems_lbl0" xml:lang="en-US">Claims Development [Line Items]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl0" xml:lang="en-US">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ReclassificationAdjustmentOutOfAccumulatedOtherComprehensiveIncomeAmortizationOfUnrecognizedLoss_lbl1" xml:lang="en-US">Reclassification Adjustment Out Of Accumulated Other Comprehensive Income Amortization Of Unrecognized Loss</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl0" xml:lang="en-US">Share-Based Payment Arrangement, Option, Activity [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankInterestRate_lbl0" xml:lang="en-US">Federal Home Loan Bank, Advance, Branch of FHLBank, Interest Rate</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl2" xml:lang="en-US">Debt Securities, Held-to-Maturity, Fair Value</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ScheduleOfReinsuranceCededToPoolTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Reinsurance Ceded To Pool Table Text Block</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_lbl1" xml:lang="en-US">Liability for Unpaid Claims and Claims Adjustment Expense, Net</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasicAbstract_lbl0" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Basic [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_InsuranceSubsidiaryLiability_lbl1" xml:lang="en-US">Insurance Subsidiary Liability</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl0" xml:lang="en-US">Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShortdurationInsuranceContractsClaimsDevelopmentTableTextBlock_lbl0" xml:lang="en-US">Short-Duration Insurance Contracts, Claims Development [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl0" xml:lang="en-US">Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock" xlink:to="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockRepurchasedDuringPeriodShares_lbl0" xml:lang="en-US">Stock Repurchased During Period, Shares</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag_lbl0" xml:lang="en-US">Cybersecurity Risk Management Positions or Committees Responsible [Flag]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl1" xml:lang="en-US">Reinsurance Recoverable for Unpaid Claims and Claims Adjustments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments" xlink:to="us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl0" xml:lang="en-US">Lessee, Operating Lease, Term of Contract</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatutoryAccountingPracticesStatutoryNetIncomeAmount_lbl1" xml:lang="en-US">Statutory Accounting Practices, Statutory Net Income Amount</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ReinsuranceCostsAndRecoveriesNet_lbl1" xml:lang="en-US">Policyholder Benefits and Claims Incurred, Assumed and Ceded</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_lbl0" xml:lang="en-US">Debt Securities, Held-to-Maturity, Amortized Cost, after Allowance for Credit Loss, Maturity, Allocated and Single Maturity Date, Year One</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationDispositionOfAssets_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Disposition of Asset, Percent</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquitySecuritiesFvNiUnrealizedGain_lbl1" xml:lang="en-US">Equity Securities, FV-NI, Unrealized Gain</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_FederalHomeLoanBankOfPittsburghMember_lbl0" xml:lang="en-US">Federal Home Loan Bank of Pittsburgh [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl0" xml:lang="en-US">Statement of Comprehensive Income [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_lbl0" xml:lang="en-US">Debt Securities, Available-for-Sale, Accumulated Gross Unrealized Gain, before Tax</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LandBuildingsAndImprovementsMember_lbl0" xml:lang="en-US">Land, Buildings and Improvements [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_NumberOfSecuritiesClassifiedAsAvailableForSaleInUnrealizedLossPosition_lbl1" xml:lang="en-US">Number Of Securities Classified As Available For Sale In Unrealized Loss Position</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl0" xml:lang="en-US">Current State and Local Tax Expense (Benefit)</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock_lbl0" xml:lang="en-US">Cybersecurity Risk Board of Directors Oversight [Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfDividendPaymentRestrictionsTextBlock_lbl0" xml:lang="en-US">Dividend Payment Restrictions [Text Block]</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl1" xml:lang="en-US">Share Based Compensation Arrangement By Share Based Payment Award Number Of Restricted Shares To Issue To All Directors</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors" xlink:to="dgica_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfRestrictedSharesToIssueToAllDirectors_lbl1"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PremiumsWrittenNet" xlink:to="us-gaap_PremiumsWrittenNet_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl0" xml:lang="en-US">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeTaxReconciliationTaxExemptIncome_lbl0" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Tax Exempt Income, Amount</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetPledgedAsCollateralWithoutRightMember_lbl0" xml:lang="en-US">Asset Pledged as Collateral without Right [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl0" xml:lang="en-US">Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year 10</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_FederalHomeLoanBankOfStockPurchasedCollateralPledgedAndAssetsRelatedTableTextBlock_lbl1" xml:lang="en-US">Federal Home Loan Bank Of Stock Purchased Collateral Pledged And Assets Related Table Text Block</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl1" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Diluted</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PercentageOfPremiumAndLossesRelatedToReinsurance_lbl1" xml:lang="en-US">Percentage Of Premium And Losses Related To Reinsurance</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_GrantDateOneMember_lbl1" xml:lang="en-US">Grant Date One Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ThirdPartyReinsuranceMember_lbl1" xml:lang="en-US">Third Party Reinsurance Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl0" xml:lang="en-US">Intangible Assets, Net (Excluding Goodwill)</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_PercentageOfShareInResultsOfPooledBusinessOwnedByThirdParty_lbl1" xml:lang="en-US">Percentage Of Share In Results Of Pooled Business Owned By Third Party</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_lbl0" xml:lang="en-US">Debt Securities, Held-to-Maturity, Amortized Cost, after Allowance for Credit Loss, Maturity, Allocated and Single Maturity Date, after Year One through Five</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_HomeownersMember_lbl1" xml:lang="en-US">Homeowners Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsAdditions_lbl0" xml:lang="en-US">Deferred Policy Acquisition Cost, Capitalization</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherComprehensiveIncomeLossTransfersFromHeldToMaturityToAvailableForSaleSecuritiesNetOfTax_lbl0" xml:lang="en-US">OCI, Debt Securities, Available-for-Sale, Transfer from Held-to-Maturity, Gain (Loss), before Adjustment, after Tax</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl1" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquityMethodInvestments_lbl0" xml:lang="en-US">Equity Method Investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityMethodInvestments" xlink:to="us-gaap_EquityMethodInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_Cash_lbl2" xml:lang="en-US">Cash</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_EquityInUndistributedNetIncomeOfSubsidiaries_lbl1" xml:lang="en-US">Equity In Undistributed Net Income Of Subsidiaries</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LongTermDebtTextBlock_lbl0" xml:lang="en-US">Long-Term Debt [Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1_lbl0" xml:lang="en-US">Share-Based Payment Arrangement, Option, Exercise Price Range, Outstanding, Weighted Average Exercise Price</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_ScheduleOfCondensedIncomeStatementTableTextBlock_lbl0" xml:lang="en-US">Condensed Income Statement [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl1" xml:lang="en-US">Catastrophe Reinsurance Agreement Contracts Retention Amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount" xlink:to="dgica_CatastropheReinsuranceAgreementContractsRetentionAmount_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit_lbl0" xml:lang="en-US">Deferred Federal Income Tax Expense (Benefit)</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl1" xml:lang="en-US">Policyholder Benefits and Claims Incurred, Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet" xlink:to="us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock_lbl0" xml:lang="en-US">Deferred Policy Acquisition Costs [Table Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock" xlink:to="us-gaap_DeferredPolicyAcquisitionCostsTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl1" xml:lang="en-US">Employee Service Share Based Compensation Tax Benefit Realized From Exercise Of Stock Option</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption" xlink:to="dgica_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOption_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl0" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherComprehensiveIncomeAvailableForSaleSecuritiesAdjustmentNetOfTaxPeriodIncreaseDecreaseAbstract_lbl0" xml:lang="en-US">OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment and Tax [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl0" xml:lang="en-US">Debt Securities, Available-for-Sale [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems" xlink:to="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ImpairmentOfInvestment_lbl1" xml:lang="en-US">Impairment Of Investment</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ImpairmentOfInvestment" xlink:to="dgica_ImpairmentOfInvestment_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OperatingLeaseLeaseIncome_lbl0" xml:lang="en-US">Operating Lease, Lease Income</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl0" xml:lang="en-US">APIC, Share-Based Payment Arrangement, Option, Increase for Cost Recognition</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition" xlink:to="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl1" xml:lang="en-US">Reconciliations Of Statutory Net Income Loss And Capital And Surplus Table Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock" xlink:to="dgica_ReconciliationsOfStatutoryNetIncomeLossAndCapitalAndSurplusTableTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl1" xml:lang="en-US">Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OperatingSegmentsMember_lbl0" xml:lang="en-US">Operating Segments [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherUnderwritingExpense_lbl0" xml:lang="en-US">Other Underwriting Expense</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_lbl0" xml:lang="en-US">Debt Securities, Available-for-Sale, Maturity, without Single Maturity Date, Amortized Cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl1" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NotesReceivableGross_lbl0" xml:lang="en-US">Financing Receivable, before Allowance for Credit Loss</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl0"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts_lbl0" xml:lang="en-US">SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Deferred Policy Acquisition Cost</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_DonegalMutualMember_lbl1" xml:lang="en-US">Donegal Mutual Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl0" xml:lang="en-US">Debt Instrument, Maturity Date</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dgica_GrossRealizedGainOnInvestments_lbl1" xml:lang="en-US">Gross Realized Gain On Investments</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EffectsOfReinsuranceLineItems_lbl0" xml:lang="en-US">Effects of Reinsurance [Line Items]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FederalHomeLoanBankStock_lbl0" xml:lang="en-US">Federal Home Loan Bank Stock</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerShareDilutedAbstract_lbl0" xml:lang="en-US">Earnings Per Share, Diluted [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl0" xml:lang="en-US">Investments in Debt and Marketable Equity Securities (and Certain Trading Assets) Disclosure [Text Block]</label>
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