| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C22×C6) = C6×Dic6 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.1(C2^2xC6) | 144,158 |
| C6.2(C22×C6) = S3×C2×C12 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.2(C2^2xC6) | 144,159 |
| C6.3(C22×C6) = C6×D12 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.3(C2^2xC6) | 144,160 |
| C6.4(C22×C6) = C3×C4○D12 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 24 | 2 | C6.4(C2^2xC6) | 144,161 |
| C6.5(C22×C6) = C3×S3×D4 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.5(C2^2xC6) | 144,162 |
| C6.6(C22×C6) = C3×D4⋊2S3 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.6(C2^2xC6) | 144,163 |
| C6.7(C22×C6) = C3×S3×Q8 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.7(C2^2xC6) | 144,164 |
| C6.8(C22×C6) = C3×Q8⋊3S3 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.8(C2^2xC6) | 144,165 |
| C6.9(C22×C6) = Dic3×C2×C6 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.9(C2^2xC6) | 144,166 |
| C6.10(C22×C6) = C6×C3⋊D4 | φ: C22×C6/C2×C6 → C2 ⊆ Aut C6 | 24 | | C6.10(C2^2xC6) | 144,167 |
| C6.11(C22×C6) = D4×C18 | central extension (φ=1) | 72 | | C6.11(C2^2xC6) | 144,48 |
| C6.12(C22×C6) = Q8×C18 | central extension (φ=1) | 144 | | C6.12(C2^2xC6) | 144,49 |
| C6.13(C22×C6) = C9×C4○D4 | central extension (φ=1) | 72 | 2 | C6.13(C2^2xC6) | 144,50 |
| C6.14(C22×C6) = D4×C3×C6 | central extension (φ=1) | 72 | | C6.14(C2^2xC6) | 144,179 |
| C6.15(C22×C6) = Q8×C3×C6 | central extension (φ=1) | 144 | | C6.15(C2^2xC6) | 144,180 |
| C6.16(C22×C6) = C32×C4○D4 | central extension (φ=1) | 72 | | C6.16(C2^2xC6) | 144,181 |