| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C2×C3.A4) = Q8⋊C9⋊3S3 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C6 | 144 | 4 | C6.1(C2xC3.A4) | 432,267 |
| C6.2(C2×C3.A4) = S3×Q8⋊C9 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C6 | 144 | 4 | C6.2(C2xC3.A4) | 432,268 |
| C6.3(C2×C3.A4) = Dic3×C3.A4 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C6 | 36 | 6 | C6.3(C2xC3.A4) | 432,271 |
| C6.4(C2×C3.A4) = C4×C9.A4 | central extension (φ=1) | 108 | 3 | C6.4(C2xC3.A4) | 432,40 |
| C6.5(C2×C3.A4) = C2×Q8⋊C27 | central extension (φ=1) | 432 | | C6.5(C2xC3.A4) | 432,41 |
| C6.6(C2×C3.A4) = Q8.C54 | central extension (φ=1) | 216 | 2 | C6.6(C2xC3.A4) | 432,42 |
| C6.7(C2×C3.A4) = C22×C9.A4 | central extension (φ=1) | 108 | | C6.7(C2xC3.A4) | 432,225 |
| C6.8(C2×C3.A4) = C12×C3.A4 | central extension (φ=1) | 108 | | C6.8(C2xC3.A4) | 432,331 |
| C6.9(C2×C3.A4) = C6×Q8⋊C9 | central extension (φ=1) | 432 | | C6.9(C2xC3.A4) | 432,334 |
| C6.10(C2×C3.A4) = C3×Q8.C18 | central extension (φ=1) | 216 | | C6.10(C2xC3.A4) | 432,337 |