| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(C6×D4) = C6×S3≀C2 | φ: C6×D4/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:(C6xD4) | 432,754 |
| C32⋊2(C6×D4) = C2×He3⋊4D4 | φ: C6×D4/C2×C4 → C6 ⊆ Aut C32 | 72 | | C3^2:2(C6xD4) | 432,350 |
| C32⋊3(C6×D4) = D4×C32⋊C6 | φ: C6×D4/D4 → C6 ⊆ Aut C32 | 36 | 12+ | C3^2:3(C6xD4) | 432,360 |
| C32⋊4(C6×D4) = C2×He3⋊6D4 | φ: C6×D4/C23 → C6 ⊆ Aut C32 | 72 | | C3^2:4(C6xD4) | 432,377 |
| C32⋊5(C6×D4) = C3×S3×D12 | φ: C6×D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:5(C6xD4) | 432,649 |
| C32⋊6(C6×D4) = C3×D6⋊D6 | φ: C6×D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:6(C6xD4) | 432,650 |
| C32⋊7(C6×D4) = C6×D6⋊S3 | φ: C6×D4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:7(C6xD4) | 432,655 |
| C32⋊8(C6×D4) = C6×C3⋊D12 | φ: C6×D4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:8(C6xD4) | 432,656 |
| C32⋊9(C6×D4) = C3×S3×C3⋊D4 | φ: C6×D4/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:9(C6xD4) | 432,658 |
| C32⋊10(C6×D4) = C3×Dic3⋊D6 | φ: C6×D4/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:10(C6xD4) | 432,659 |
| C32⋊11(C6×D4) = C2×D4×He3 | φ: C6×D4/C2×D4 → C3 ⊆ Aut C32 | 72 | | C3^2:11(C6xD4) | 432,404 |
| C32⋊12(C6×D4) = C3×C6×D12 | φ: C6×D4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:12(C6xD4) | 432,702 |
| C32⋊13(C6×D4) = C6×C12⋊S3 | φ: C6×D4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:13(C6xD4) | 432,712 |
| C32⋊14(C6×D4) = S3×D4×C32 | φ: C6×D4/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:14(C6xD4) | 432,704 |
| C32⋊15(C6×D4) = C3×D4×C3⋊S3 | φ: C6×D4/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:15(C6xD4) | 432,714 |
| C32⋊16(C6×D4) = C3×C6×C3⋊D4 | φ: C6×D4/C22×C6 → C2 ⊆ Aut C32 | 72 | | C3^2:16(C6xD4) | 432,709 |
| C32⋊17(C6×D4) = C6×C32⋊7D4 | φ: C6×D4/C22×C6 → C2 ⊆ Aut C32 | 72 | | C3^2:17(C6xD4) | 432,719 |