| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| C12⋊S3⋊1C4 = C3⋊S3.5D8 | φ: C4/C1 → C4 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:1C4 | 288,430 |
| C12⋊S3⋊2C4 = C32⋊7C4≀C2 | φ: C4/C1 → C4 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:2C4 | 288,433 |
| C12⋊S3⋊3C4 = D4×C32⋊C4 | φ: C4/C1 → C4 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:3C4 | 288,936 |
| C12⋊S3⋊4C4 = C122⋊C2 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:4C4 | 288,280 |
| C12⋊S3⋊5C4 = C62.84D4 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:5C4 | 288,296 |
| C12⋊S3⋊6C4 = C6.17D24 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3:6C4 | 288,212 |
| C12⋊S3⋊7C4 = C12.80D12 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:7C4 | 288,218 |
| C12⋊S3⋊8C4 = C62.113D4 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:8C4 | 288,284 |
| C12⋊S3⋊9C4 = C62.37D4 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:9C4 | 288,300 |
| C12⋊S3⋊10C4 = Dic3⋊5D12 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3:10C4 | 288,542 |
| C12⋊S3⋊11C4 = C62.237C23 | φ: C4/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:11C4 | 288,750 |