| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C32⋊4Q8) = C62.80D6 | φ: C32⋊4Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.1(C3^2:4Q8) | 432,452 |
| C6.2(C32⋊4Q8) = C62.81D6 | φ: C32⋊4Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.2(C3^2:4Q8) | 432,453 |
| C6.3(C32⋊4Q8) = C62.82D6 | φ: C32⋊4Q8/C3⋊Dic3 → C2 ⊆ Aut C6 | 144 | | C6.3(C3^2:4Q8) | 432,454 |
| C6.4(C32⋊4Q8) = C6.Dic18 | φ: C32⋊4Q8/C3×C12 → C2 ⊆ Aut C6 | 432 | | C6.4(C3^2:4Q8) | 432,181 |
| C6.5(C32⋊4Q8) = C36⋊Dic3 | φ: C32⋊4Q8/C3×C12 → C2 ⊆ Aut C6 | 432 | | C6.5(C3^2:4Q8) | 432,182 |
| C6.6(C32⋊4Q8) = C2×C12.D9 | φ: C32⋊4Q8/C3×C12 → C2 ⊆ Aut C6 | 432 | | C6.6(C3^2:4Q8) | 432,380 |
| C6.7(C32⋊4Q8) = C62.146D6 | φ: C32⋊4Q8/C3×C12 → C2 ⊆ Aut C6 | 432 | | C6.7(C3^2:4Q8) | 432,504 |
| C6.8(C32⋊4Q8) = C62.147D6 | φ: C32⋊4Q8/C3×C12 → C2 ⊆ Aut C6 | 432 | | C6.8(C3^2:4Q8) | 432,505 |
| C6.9(C32⋊4Q8) = C62.29D6 | central extension (φ=1) | 144 | | C6.9(C3^2:4Q8) | 432,187 |
| C6.10(C32⋊4Q8) = C62.30D6 | central extension (φ=1) | 144 | | C6.10(C3^2:4Q8) | 432,188 |
| C6.11(C32⋊4Q8) = C2×He3⋊4Q8 | central extension (φ=1) | 144 | | C6.11(C3^2:4Q8) | 432,384 |
| C6.12(C32⋊4Q8) = C3×C6.Dic6 | central extension (φ=1) | 144 | | C6.12(C3^2:4Q8) | 432,488 |
| C6.13(C32⋊4Q8) = C3×C12⋊Dic3 | central extension (φ=1) | 144 | | C6.13(C3^2:4Q8) | 432,489 |