| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| C12⋊S3⋊1S3 = He3⋊2D8 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 72 | 6+ | C12:S3:1S3 | 432,79 |
| C12⋊S3⋊2S3 = He3⋊3D8 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 72 | 12+ | C12:S3:2S3 | 432,83 |
| C12⋊S3⋊3S3 = C12⋊S3⋊S3 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 72 | 12+ | C12:S3:3S3 | 432,295 |
| C12⋊S3⋊4S3 = C12.84S32 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 72 | 6 | C12:S3:4S3 | 432,296 |
| C12⋊S3⋊5S3 = C3⋊S3⋊D12 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 36 | 12+ | C12:S3:5S3 | 432,301 |
| C12⋊S3⋊6S3 = C12.86S32 | φ: S3/C1 → S3 ⊆ Out C12⋊S3 | 36 | 6+ | C12:S3:6S3 | 432,302 |
| C12⋊S3⋊7S3 = C33⋊8D8 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:7S3 | 432,438 |
| C12⋊S3⋊8S3 = C33⋊6D8 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:8S3 | 432,436 |
| C12⋊S3⋊9S3 = C33⋊9D8 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:9S3 | 432,457 |
| C12⋊S3⋊10S3 = C12.39S32 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:10S3 | 432,664 |
| C12⋊S3⋊11S3 = C12⋊S32 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:11S3 | 432,673 |
| C12⋊S3⋊12S3 = C12⋊S3⋊12S3 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:12S3 | 432,688 |
| C12⋊S3⋊13S3 = C12⋊3S32 | φ: S3/C3 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:13S3 | 432,691 |
| C12⋊S3⋊14S3 = C12.57S32 | φ: trivial image | 144 | | C12:S3:14S3 | 432,668 |