| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C32⋊2Q8) = Dic9⋊Dic3 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.1(C3^2:2Q8) | 432,88 |
| C6.2(C32⋊2Q8) = C18.Dic6 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.2(C3^2:2Q8) | 432,89 |
| C6.3(C32⋊2Q8) = Dic3⋊Dic9 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.3(C3^2:2Q8) | 432,90 |
| C6.4(C32⋊2Q8) = C2×C9⋊Dic6 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.4(C3^2:2Q8) | 432,303 |
| C6.5(C32⋊2Q8) = C62.80D6 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.5(C3^2:2Q8) | 432,452 |
| C6.6(C32⋊2Q8) = C62.81D6 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.6(C3^2:2Q8) | 432,453 |
| C6.7(C32⋊2Q8) = C62.82D6 | φ: C32⋊2Q8/C3×Dic3 → C2 ⊆ Aut C6 | 144 | | C6.7(C3^2:2Q8) | 432,454 |
| C6.8(C32⋊2Q8) = C62.D6 | φ: C32⋊2Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.8(C3^2:2Q8) | 432,95 |
| C6.9(C32⋊2Q8) = C62.3D6 | φ: C32⋊2Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.9(C3^2:2Q8) | 432,96 |
| C6.10(C32⋊2Q8) = C2×He3⋊2Q8 | φ: C32⋊2Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.10(C3^2:2Q8) | 432,316 |
| C6.11(C32⋊2Q8) = C62.85D6 | φ: C32⋊2Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 48 | | C6.11(C3^2:2Q8) | 432,462 |
| C6.12(C32⋊2Q8) = C3×Dic3⋊Dic3 | central extension (φ=1) | 48 | | C6.12(C3^2:2Q8) | 432,428 |
| C6.13(C32⋊2Q8) = C3×C62.C22 | central extension (φ=1) | 48 | | C6.13(C3^2:2Q8) | 432,429 |