| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C12 | 72 | C6xC12 | 72,36 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊1(C2×C4) = C2×C32⋊C4 | φ: C2×C4/C2 → C4 ⊆ Aut C32 | 12 | 4+ | C3^2:1(C2xC4) | 72,45 |
| C32⋊2(C2×C4) = S3×Dic3 | φ: C2×C4/C2 → C22 ⊆ Aut C32 | 24 | 4- | C3^2:2(C2xC4) | 72,20 |
| C32⋊3(C2×C4) = C6.D6 | φ: C2×C4/C2 → C22 ⊆ Aut C32 | 12 | 4+ | C3^2:3(C2xC4) | 72,21 |
| C32⋊4(C2×C4) = S3×C12 | φ: C2×C4/C4 → C2 ⊆ Aut C32 | 24 | 2 | C3^2:4(C2xC4) | 72,27 |
| C32⋊5(C2×C4) = C4×C3⋊S3 | φ: C2×C4/C4 → C2 ⊆ Aut C32 | 36 | C3^2:5(C2xC4) | 72,32 | |
| C32⋊6(C2×C4) = C6×Dic3 | φ: C2×C4/C22 → C2 ⊆ Aut C32 | 24 | C3^2:6(C2xC4) | 72,29 | |
| C32⋊7(C2×C4) = C2×C3⋊Dic3 | φ: C2×C4/C22 → C2 ⊆ Aut C32 | 72 | C3^2:7(C2xC4) | 72,34 |