| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C3×C4○D4) = C62.36D6 | φ: C3×C4○D4/C2×C4 → C6 ⊆ Aut C32 | 72 | 6 | C3^2:1(C3xC4oD4) | 432,351 |
| C32⋊2(C3×C4○D4) = C62.13D6 | φ: C3×C4○D4/D4 → C6 ⊆ Aut C32 | 72 | 12- | C3^2:2(C3xC4oD4) | 432,361 |
| C32⋊3(C3×C4○D4) = (Q8×He3)⋊C2 | φ: C3×C4○D4/Q8 → C6 ⊆ Aut C32 | 72 | 12+ | C3^2:3(C3xC4oD4) | 432,369 |
| C32⋊4(C3×C4○D4) = C3×D12⋊5S3 | φ: C3×C4○D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:4(C3xC4oD4) | 432,643 |
| C32⋊5(C3×C4○D4) = C3×D12⋊S3 | φ: C3×C4○D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:5(C3xC4oD4) | 432,644 |
| C32⋊6(C3×C4○D4) = C3×D6.D6 | φ: C3×C4○D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:6(C3xC4oD4) | 432,646 |
| C32⋊7(C3×C4○D4) = C3×D6.6D6 | φ: C3×C4○D4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:7(C3xC4oD4) | 432,647 |
| C32⋊8(C3×C4○D4) = C3×D6.3D6 | φ: C3×C4○D4/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:8(C3xC4oD4) | 432,652 |
| C32⋊9(C3×C4○D4) = C3×D6.4D6 | φ: C3×C4○D4/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:9(C3xC4oD4) | 432,653 |
| C32⋊10(C3×C4○D4) = C4○D4×He3 | φ: C3×C4○D4/C4○D4 → C3 ⊆ Aut C32 | 72 | 6 | C3^2:10(C3xC4oD4) | 432,410 |
| C32⋊11(C3×C4○D4) = C32×C4○D12 | φ: C3×C4○D4/C2×C12 → C2 ⊆ Aut C32 | 72 | | C3^2:11(C3xC4oD4) | 432,703 |
| C32⋊12(C3×C4○D4) = C3×C12.59D6 | φ: C3×C4○D4/C2×C12 → C2 ⊆ Aut C32 | 72 | | C3^2:12(C3xC4oD4) | 432,713 |
| C32⋊13(C3×C4○D4) = C32×D4⋊2S3 | φ: C3×C4○D4/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:13(C3xC4oD4) | 432,705 |
| C32⋊14(C3×C4○D4) = C3×C12.D6 | φ: C3×C4○D4/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:14(C3xC4oD4) | 432,715 |
| C32⋊15(C3×C4○D4) = C32×Q8⋊3S3 | φ: C3×C4○D4/C3×Q8 → C2 ⊆ Aut C32 | 144 | | C3^2:15(C3xC4oD4) | 432,707 |
| C32⋊16(C3×C4○D4) = C3×C12.26D6 | φ: C3×C4○D4/C3×Q8 → C2 ⊆ Aut C32 | 144 | | C3^2:16(C3xC4oD4) | 432,717 |