| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C12⋊S3) = C32⋊5D16 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.1(C12:S3) | 288,274 |
| C4.2(C12⋊S3) = C6.D24 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.2(C12:S3) | 288,275 |
| C4.3(C12⋊S3) = C32⋊5Q32 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.3(C12:S3) | 288,276 |
| C4.4(C12⋊S3) = C12⋊6Dic6 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.4(C12:S3) | 288,726 |
| C4.5(C12⋊S3) = C122⋊6C2 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.5(C12:S3) | 288,732 |
| C4.6(C12⋊S3) = C2×C24⋊2S3 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.6(C12:S3) | 288,759 |
| C4.7(C12⋊S3) = C2×C32⋊5D8 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.7(C12:S3) | 288,760 |
| C4.8(C12⋊S3) = C2×C32⋊5Q16 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.8(C12:S3) | 288,762 |
| C4.9(C12⋊S3) = C62.113D4 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.9(C12:S3) | 288,284 |
| C4.10(C12⋊S3) = C62.114D4 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 288 | | C4.10(C12:S3) | 288,285 |
| C4.11(C12⋊S3) = C12.19D12 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.11(C12:S3) | 288,298 |
| C4.12(C12⋊S3) = C12.20D12 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.12(C12:S3) | 288,299 |
| C4.13(C12⋊S3) = C12.31D12 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.13(C12:S3) | 288,754 |
| C4.14(C12⋊S3) = C24⋊3D6 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.14(C12:S3) | 288,765 |
| C4.15(C12⋊S3) = C24.5D6 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.15(C12:S3) | 288,766 |
| C4.16(C12⋊S3) = C12.57D12 | central extension (φ=1) | 288 | | C4.16(C12:S3) | 288,279 |
| C4.17(C12⋊S3) = C122⋊C2 | central extension (φ=1) | 72 | | C4.17(C12:S3) | 288,280 |
| C4.18(C12⋊S3) = C12.59D12 | central extension (φ=1) | 144 | | C4.18(C12:S3) | 288,294 |
| C4.19(C12⋊S3) = C12.60D12 | central extension (φ=1) | 144 | | C4.19(C12:S3) | 288,295 |
| C4.20(C12⋊S3) = C24.78D6 | central extension (φ=1) | 144 | | C4.20(C12:S3) | 288,761 |