| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(D6⋊S3) = C32⋊2D16 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | 4 | C4.1(D6:S3) | 288,193 |
| C4.2(D6⋊S3) = D24.S3 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | 4 | C4.2(D6:S3) | 288,195 |
| C4.3(D6⋊S3) = C32⋊2Q32 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | 4 | C4.3(D6:S3) | 288,198 |
| C4.4(D6⋊S3) = C2×C32⋊2D8 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | | C4.4(D6:S3) | 288,469 |
| C4.5(D6⋊S3) = C2×Dic6⋊S3 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | | C4.5(D6:S3) | 288,474 |
| C4.6(D6⋊S3) = C2×C32⋊2Q16 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | | C4.6(D6:S3) | 288,482 |
| C4.7(D6⋊S3) = C62.33C23 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | | C4.7(D6:S3) | 288,511 |
| C4.8(D6⋊S3) = C62.43C23 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 96 | | C4.8(D6:S3) | 288,521 |
| C4.9(D6⋊S3) = C12.D12 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.9(D6:S3) | 288,206 |
| C4.10(D6⋊S3) = C12.14D12 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.10(D6:S3) | 288,208 |
| C4.11(D6⋊S3) = C6.16D24 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.11(D6:S3) | 288,211 |
| C4.12(D6⋊S3) = C6.Dic12 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.12(D6:S3) | 288,214 |
| C4.13(D6⋊S3) = D12⋊20D6 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.13(D6:S3) | 288,471 |
| C4.14(D6⋊S3) = D12.32D6 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.14(D6:S3) | 288,475 |
| C4.15(D6⋊S3) = D6⋊6Dic6 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.15(D6:S3) | 288,504 |
| C4.16(D6⋊S3) = C12.77D12 | central extension (φ=1) | 96 | | C4.16(D6:S3) | 288,204 |
| C4.17(D6⋊S3) = D12⋊4Dic3 | central extension (φ=1) | 24 | 4 | C4.17(D6:S3) | 288,216 |
| C4.18(D6⋊S3) = C12.15Dic6 | central extension (φ=1) | 96 | | C4.18(D6:S3) | 288,220 |
| C4.19(D6⋊S3) = C62.5Q8 | central extension (φ=1) | 48 | 4 | C4.19(D6:S3) | 288,226 |
| C4.20(D6⋊S3) = D12.30D6 | central extension (φ=1) | 48 | 4 | C4.20(D6:S3) | 288,470 |