| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C2×M4(2)) = S3×C8⋊S3 | φ: C2×M4(2)/C8 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:1(C2xM4(2)) | 288,438 |
| C32⋊2(C2×M4(2)) = C24⋊D6 | φ: C2×M4(2)/C8 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:2(C2xM4(2)) | 288,439 |
| C32⋊3(C2×M4(2)) = C2×C32⋊M4(2) | φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C32 | 48 | | C3^2:3(C2xM4(2)) | 288,930 |
| C32⋊4(C2×M4(2)) = C3⋊S3⋊M4(2) | φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C32 | 24 | 4 | C3^2:4(C2xM4(2)) | 288,931 |
| C32⋊5(C2×M4(2)) = S3×C4.Dic3 | φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:5(C2xM4(2)) | 288,461 |
| C32⋊6(C2×M4(2)) = C3⋊C8⋊20D6 | φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:6(C2xM4(2)) | 288,466 |
| C32⋊7(C2×M4(2)) = C2×D6.Dic3 | φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:7(C2xM4(2)) | 288,467 |
| C32⋊8(C2×M4(2)) = C2×C12.31D6 | φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:8(C2xM4(2)) | 288,468 |
| C32⋊9(C2×M4(2)) = C2×C62.C4 | φ: C2×M4(2)/C23 → C4 ⊆ Aut C32 | 48 | | C3^2:9(C2xM4(2)) | 288,940 |
| C32⋊10(C2×M4(2)) = C6×C8⋊S3 | φ: C2×M4(2)/C2×C8 → C2 ⊆ Aut C32 | 96 | | C3^2:10(C2xM4(2)) | 288,671 |
| C32⋊11(C2×M4(2)) = C2×C24⋊S3 | φ: C2×M4(2)/C2×C8 → C2 ⊆ Aut C32 | 144 | | C3^2:11(C2xM4(2)) | 288,757 |
| C32⋊12(C2×M4(2)) = C3×S3×M4(2) | φ: C2×M4(2)/M4(2) → C2 ⊆ Aut C32 | 48 | 4 | C3^2:12(C2xM4(2)) | 288,677 |
| C32⋊13(C2×M4(2)) = M4(2)×C3⋊S3 | φ: C2×M4(2)/M4(2) → C2 ⊆ Aut C32 | 72 | | C3^2:13(C2xM4(2)) | 288,763 |
| C32⋊14(C2×M4(2)) = C6×C4.Dic3 | φ: C2×M4(2)/C22×C4 → C2 ⊆ Aut C32 | 48 | | C3^2:14(C2xM4(2)) | 288,692 |
| C32⋊15(C2×M4(2)) = C2×C12.58D6 | φ: C2×M4(2)/C22×C4 → C2 ⊆ Aut C32 | 144 | | C3^2:15(C2xM4(2)) | 288,778 |