4. Goodwill and Other Intangible Assets The Company's goodwill at June 30, 2026 and December 31, 2025, by segment, is summarized below: | | | | | | | | | | | | | | | | | June 30, 2026 | | December 31, 2025 | | | | | | | | (Dollars in millions) | Domestic Coke | | $ | 3.4 | | | $ | 3.4 | | Industrial Services | | 51.9 | | | 52.2 | | Total | | $ | 55.3 | | | $ | 55.6 | |
Intangible assets, net, includes the intangibles detailed in the table below, excluding fully amortized intangible assets. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | June 30, 2026 | | December 31, 2025 | | Weighted - Average Remaining Amortization Years | | Gross Carrying Amount | | Accumulated Amortization | | Net | | Gross Carrying Amount | | Accumulated Amortization | | Net | | | | | | | | | | | | | | | | | | (Dollars in millions) | | Customer relationships | 11 | | $ | 14.4 | | | $ | 1.0 | | | $ | 13.4 | | | $ | 14.4 | | | $ | 0.4 | | | $ | 14.0 | | | Trade names | 9 | | 5.8 | | | 0.4 | | | 5.4 | | | 5.8 | | | 0.2 | | | 5.6 | | | Permits | 16 | | 31.7 | | | 9.4 | | | 22.3 | | | 31.7 | | | 8.6 | | | 23.1 | | | Other | 24 | | 1.6 | | | 0.3 | | | 1.3 | | | 1.6 | | | 0.3 | | | 1.3 | | | Total | | | $ | 53.5 | | | $ | 11.1 | | | $ | 42.4 | | | $ | 53.5 | | | $ | 9.5 | | | $ | 44.0 | |
Total amortization expense for intangible assets subject to amortization was $0.8 million and $0.4 million for the three months ended June 30, 2026 and 2025, respectively, and $1.6 million and $0.7 million for the six months ended June 30, 2026 and 2025, respectively.
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