| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C8⋊S3) = He3⋊M4(2) | φ: C8⋊S3/C4 → D6 ⊆ Aut C32 | 72 | 6 | C3^2:1(C8:S3) | 432,77 |
| C32⋊2(C8⋊S3) = He3⋊3M4(2) | φ: C8⋊S3/C4 → D6 ⊆ Aut C32 | 72 | 6 | C3^2:2(C8:S3) | 432,82 |
| C32⋊3(C8⋊S3) = He3⋊5M4(2) | φ: C8⋊S3/C8 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:3(C8:S3) | 432,116 |
| C32⋊4(C8⋊S3) = He3⋊6M4(2) | φ: C8⋊S3/C8 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:4(C8:S3) | 432,174 |
| C32⋊5(C8⋊S3) = C33⋊2M4(2) | φ: C8⋊S3/Dic3 → C4 ⊆ Aut C32 | 24 | 8+ | C3^2:5(C8:S3) | 432,573 |
| C32⋊6(C8⋊S3) = C33⋊8M4(2) | φ: C8⋊S3/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:6(C8:S3) | 432,434 |
| C32⋊7(C8⋊S3) = C33⋊9M4(2) | φ: C8⋊S3/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:7(C8:S3) | 432,435 |
| C32⋊8(C8⋊S3) = C33⋊10M4(2) | φ: C8⋊S3/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:8(C8:S3) | 432,456 |
| C32⋊9(C8⋊S3) = C33⋊M4(2) | φ: C8⋊S3/D6 → C4 ⊆ Aut C32 | 48 | 8- | C3^2:9(C8:S3) | 432,572 |
| C32⋊10(C8⋊S3) = C3×C12.31D6 | φ: C8⋊S3/C3⋊C8 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:10(C8:S3) | 432,417 |
| C32⋊11(C8⋊S3) = C3×C24⋊S3 | φ: C8⋊S3/C24 → C2 ⊆ Aut C32 | 144 | | C3^2:11(C8:S3) | 432,481 |
| C32⋊12(C8⋊S3) = C33⋊15M4(2) | φ: C8⋊S3/C24 → C2 ⊆ Aut C32 | 216 | | C3^2:12(C8:S3) | 432,497 |
| C32⋊13(C8⋊S3) = C3×D6.Dic3 | φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:13(C8:S3) | 432,416 |
| C32⋊14(C8⋊S3) = C33⋊7M4(2) | φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C32 | 144 | | C3^2:14(C8:S3) | 432,433 |