| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C2×Dic6) = C3⋊S3⋊Dic6 | φ: C2×Dic6/C4 → D6 ⊆ Aut C32 | 72 | 12- | C3^2:1(C2xDic6) | 432,294 |
| C32⋊2(C2×Dic6) = C2×He3⋊2Q8 | φ: C2×Dic6/C22 → D6 ⊆ Aut C32 | 144 | | C3^2:2(C2xDic6) | 432,316 |
| C32⋊3(C2×Dic6) = C2×C33⋊Q8 | φ: C2×Dic6/C6 → Q8 ⊆ Aut C32 | 48 | 8 | C3^2:3(C2xDic6) | 432,758 |
| C32⋊4(C2×Dic6) = C2×He3⋊3Q8 | φ: C2×Dic6/C2×C4 → S3 ⊆ Aut C32 | 144 | | C3^2:4(C2xDic6) | 432,348 |
| C32⋊5(C2×Dic6) = C2×He3⋊4Q8 | φ: C2×Dic6/C2×C4 → S3 ⊆ Aut C32 | 144 | | C3^2:5(C2xDic6) | 432,384 |
| C32⋊6(C2×Dic6) = S3×C32⋊2Q8 | φ: C2×Dic6/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:6(C2xDic6) | 432,603 |
| C32⋊7(C2×Dic6) = C33⋊5(C2×Q8) | φ: C2×Dic6/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:7(C2xDic6) | 432,604 |
| C32⋊8(C2×Dic6) = S3×C32⋊4Q8 | φ: C2×Dic6/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:8(C2xDic6) | 432,660 |
| C32⋊9(C2×Dic6) = C3⋊S3⋊4Dic6 | φ: C2×Dic6/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:9(C2xDic6) | 432,687 |
| C32⋊10(C2×Dic6) = C2×C33⋊4Q8 | φ: C2×Dic6/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:10(C2xDic6) | 432,683 |
| C32⋊11(C2×Dic6) = C2×C33⋊5Q8 | φ: C2×Dic6/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:11(C2xDic6) | 432,695 |
| C32⋊12(C2×Dic6) = C3×S3×Dic6 | φ: C2×Dic6/Dic6 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:12(C2xDic6) | 432,642 |
| C32⋊13(C2×Dic6) = C3⋊S3×Dic6 | φ: C2×Dic6/Dic6 → C2 ⊆ Aut C32 | 144 | | C3^2:13(C2xDic6) | 432,663 |
| C32⋊14(C2×Dic6) = C6×C32⋊2Q8 | φ: C2×Dic6/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:14(C2xDic6) | 432,657 |
| C32⋊15(C2×Dic6) = C6×C32⋊4Q8 | φ: C2×Dic6/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:15(C2xDic6) | 432,710 |
| C32⋊16(C2×Dic6) = C2×C33⋊8Q8 | φ: C2×Dic6/C2×C12 → C2 ⊆ Aut C32 | 432 | | C3^2:16(C2xDic6) | 432,720 |