| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C4○D12) = C12⋊S3⋊S3 | φ: C4○D12/C4 → D6 ⊆ Aut C32 | 72 | 12+ | C3^2:1(C4oD12) | 432,295 |
| C32⋊2(C4○D12) = C12.91S32 | φ: C4○D12/C4 → D6 ⊆ Aut C32 | 72 | 6 | C3^2:2(C4oD12) | 432,297 |
| C32⋊3(C4○D12) = C12.S32 | φ: C4○D12/C4 → D6 ⊆ Aut C32 | 72 | 12- | C3^2:3(C4oD12) | 432,299 |
| C32⋊4(C4○D12) = C62.8D6 | φ: C4○D12/C22 → D6 ⊆ Aut C32 | 72 | 12- | C3^2:4(C4oD12) | 432,318 |
| C32⋊5(C4○D12) = C62.36D6 | φ: C4○D12/C2×C4 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:5(C4oD12) | 432,351 |
| C32⋊6(C4○D12) = C62.47D6 | φ: C4○D12/C2×C4 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:6(C4oD12) | 432,387 |
| C32⋊7(C4○D12) = D6.S32 | φ: C4○D12/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:7(C4oD12) | 432,607 |
| C32⋊8(C4○D12) = D6.3S32 | φ: C4○D12/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:8(C4oD12) | 432,609 |
| C32⋊9(C4○D12) = Dic3.S32 | φ: C4○D12/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:9(C4oD12) | 432,612 |
| C32⋊10(C4○D12) = C12.73S32 | φ: C4○D12/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:10(C4oD12) | 432,667 |
| C32⋊11(C4○D12) = C12.57S32 | φ: C4○D12/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:11(C4oD12) | 432,668 |
| C32⋊12(C4○D12) = C12.58S32 | φ: C4○D12/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:12(C4oD12) | 432,669 |
| C32⋊13(C4○D12) = C12⋊S3⋊12S3 | φ: C4○D12/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:13(C4oD12) | 432,688 |
| C32⋊14(C4○D12) = C12.95S32 | φ: C4○D12/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:14(C4oD12) | 432,689 |
| C32⋊15(C4○D12) = (S3×C6).D6 | φ: C4○D12/D6 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:15(C4oD12) | 432,606 |
| C32⋊16(C4○D12) = D6.4S32 | φ: C4○D12/D6 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:16(C4oD12) | 432,608 |
| C32⋊17(C4○D12) = C62.93D6 | φ: C4○D12/C2×C6 → C22 ⊆ Aut C32 | 72 | | C3^2:17(C4oD12) | 432,678 |
| C32⋊18(C4○D12) = C62.96D6 | φ: C4○D12/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:18(C4oD12) | 432,693 |
| C32⋊19(C4○D12) = C3×D6.6D6 | φ: C4○D12/Dic6 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:19(C4oD12) | 432,647 |
| C32⋊20(C4○D12) = C12.40S32 | φ: C4○D12/Dic6 → C2 ⊆ Aut C32 | 72 | | C3^2:20(C4oD12) | 432,665 |
| C32⋊21(C4○D12) = C3×D6.D6 | φ: C4○D12/C4×S3 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:21(C4oD12) | 432,646 |
| C32⋊22(C4○D12) = C3×D12⋊5S3 | φ: C4○D12/D12 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:22(C4oD12) | 432,643 |
| C32⋊23(C4○D12) = (C3×D12)⋊S3 | φ: C4○D12/D12 → C2 ⊆ Aut C32 | 144 | | C3^2:23(C4oD12) | 432,661 |
| C32⋊24(C4○D12) = C3×D6.3D6 | φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:24(C4oD12) | 432,652 |
| C32⋊25(C4○D12) = C62.90D6 | φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C32 | 72 | | C3^2:25(C4oD12) | 432,675 |
| C32⋊26(C4○D12) = C3×C12.59D6 | φ: C4○D12/C2×C12 → C2 ⊆ Aut C32 | 72 | | C3^2:26(C4oD12) | 432,713 |
| C32⋊27(C4○D12) = C62.160D6 | φ: C4○D12/C2×C12 → C2 ⊆ Aut C32 | 216 | | C3^2:27(C4oD12) | 432,723 |