| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(C4×D4) = C4×S3≀C2 | φ: C4×D4/C4 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:(C4xD4) | 288,877 |
| C32⋊2(C4×D4) = C62.49C23 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:2(C4xD4) | 288,527 |
| C32⋊3(C4×D4) = Dic3⋊4D12 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:3(C4xD4) | 288,528 |
| C32⋊4(C4×D4) = C62.51C23 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:4(C4xD4) | 288,529 |
| C32⋊5(C4×D4) = Dic3×D12 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:5(C4xD4) | 288,540 |
| C32⋊6(C4×D4) = Dic3⋊5D12 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:6(C4xD4) | 288,542 |
| C32⋊7(C4×D4) = D12⋊Dic3 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:7(C4xD4) | 288,546 |
| C32⋊8(C4×D4) = C4×D6⋊S3 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:8(C4xD4) | 288,549 |
| C32⋊9(C4×D4) = C62.72C23 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:9(C4xD4) | 288,550 |
| C32⋊10(C4×D4) = C4×C3⋊D12 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:10(C4xD4) | 288,551 |
| C32⋊11(C4×D4) = C62.74C23 | φ: C4×D4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:11(C4xD4) | 288,552 |
| C32⋊12(C4×D4) = D4×C32⋊C4 | φ: C4×D4/D4 → C4 ⊆ Aut C32 | 24 | 8+ | C3^2:12(C4xD4) | 288,936 |
| C32⋊13(C4×D4) = C62.94C23 | φ: C4×D4/C23 → C22 ⊆ Aut C32 | 48 | | C3^2:13(C4xD4) | 288,600 |
| C32⋊14(C4×D4) = Dic3×C3⋊D4 | φ: C4×D4/C23 → C22 ⊆ Aut C32 | 48 | | C3^2:14(C4xD4) | 288,620 |
| C32⋊15(C4×D4) = C62.115C23 | φ: C4×D4/C23 → C22 ⊆ Aut C32 | 48 | | C3^2:15(C4xD4) | 288,621 |
| C32⋊16(C4×D4) = C12×D12 | φ: C4×D4/C42 → C2 ⊆ Aut C32 | 96 | | C3^2:16(C4xD4) | 288,644 |
| C32⋊17(C4×D4) = C4×C12⋊S3 | φ: C4×D4/C42 → C2 ⊆ Aut C32 | 144 | | C3^2:17(C4xD4) | 288,730 |
| C32⋊18(C4×D4) = C3×Dic3⋊4D4 | φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C32 | 48 | | C3^2:18(C4xD4) | 288,652 |
| C32⋊19(C4×D4) = C62.225C23 | φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C32 | 144 | | C3^2:19(C4xD4) | 288,738 |
| C32⋊20(C4×D4) = C3×Dic3⋊5D4 | φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C32 | 96 | | C3^2:20(C4xD4) | 288,664 |
| C32⋊21(C4×D4) = C62.237C23 | φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C32 | 144 | | C3^2:21(C4xD4) | 288,750 |
| C32⋊22(C4×D4) = C12×C3⋊D4 | φ: C4×D4/C22×C4 → C2 ⊆ Aut C32 | 48 | | C3^2:22(C4xD4) | 288,699 |
| C32⋊23(C4×D4) = C4×C32⋊7D4 | φ: C4×D4/C22×C4 → C2 ⊆ Aut C32 | 144 | | C3^2:23(C4xD4) | 288,785 |
| C32⋊24(C4×D4) = C3×D4×Dic3 | φ: C4×D4/C2×D4 → C2 ⊆ Aut C32 | 48 | | C3^2:24(C4xD4) | 288,705 |
| C32⋊25(C4×D4) = D4×C3⋊Dic3 | φ: C4×D4/C2×D4 → C2 ⊆ Aut C32 | 144 | | C3^2:25(C4xD4) | 288,791 |