| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| C12⋊S3⋊1C6 = He3⋊4D8 | φ: C6/C1 → C6 ⊆ Out C12⋊S3 | 72 | 6+ | C12:S3:1C6 | 432,118 |
| C12⋊S3⋊2C6 = He3⋊6D8 | φ: C6/C1 → C6 ⊆ Out C12⋊S3 | 72 | 12+ | C12:S3:2C6 | 432,153 |
| C12⋊S3⋊3C6 = D4×C32⋊C6 | φ: C6/C1 → C6 ⊆ Out C12⋊S3 | 36 | 12+ | C12:S3:3C6 | 432,360 |
| C12⋊S3⋊4C6 = (Q8×He3)⋊C2 | φ: C6/C1 → C6 ⊆ Out C12⋊S3 | 72 | 12+ | C12:S3:4C6 | 432,369 |
| C12⋊S3⋊5C6 = C2×He3⋊4D4 | φ: C6/C2 → C3 ⊆ Out C12⋊S3 | 72 | | C12:S3:5C6 | 432,350 |
| C12⋊S3⋊6C6 = C62.36D6 | φ: C6/C2 → C3 ⊆ Out C12⋊S3 | 72 | 6 | C12:S3:6C6 | 432,351 |
| C12⋊S3⋊7C6 = C3×C32⋊5D8 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:7C6 | 432,483 |
| C12⋊S3⋊8C6 = C3×C3⋊D24 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:8C6 | 432,419 |
| C12⋊S3⋊9C6 = C3×C32⋊7D8 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:9C6 | 432,491 |
| C12⋊S3⋊10C6 = C3×D6.6D6 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:10C6 | 432,647 |
| C12⋊S3⋊11C6 = C3×S3×D12 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:11C6 | 432,649 |
| C12⋊S3⋊12C6 = C3×D4×C3⋊S3 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:12C6 | 432,714 |
| C12⋊S3⋊13C6 = C3×C12.26D6 | φ: C6/C3 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:13C6 | 432,717 |
| C12⋊S3⋊14C6 = C3×C12.59D6 | φ: trivial image | 72 | | C12:S3:14C6 | 432,713 |