| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(D6⋊S3) = D12.30D6 | φ: D6⋊S3/C3⋊Dic3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.1(D6:S3) | 288,470 |
| C22.2(D6⋊S3) = D12⋊2Dic3 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.2(D6:S3) | 288,217 |
| C22.3(D6⋊S3) = C62.31D4 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C22 | 24 | 4 | C2^2.3(D6:S3) | 288,228 |
| C22.4(D6⋊S3) = D12⋊20D6 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.4(D6:S3) | 288,471 |
| C22.5(D6⋊S3) = D12.32D6 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.5(D6:S3) | 288,475 |
| C22.6(D6⋊S3) = C62.56D4 | φ: D6⋊S3/S3×C6 → C2 ⊆ Aut C22 | 48 | | C2^2.6(D6:S3) | 288,609 |
| C22.7(D6⋊S3) = D12⋊3Dic3 | central extension (φ=1) | 96 | | C2^2.7(D6:S3) | 288,210 |
| C22.8(D6⋊S3) = Dic6⋊Dic3 | central extension (φ=1) | 96 | | C2^2.8(D6:S3) | 288,213 |
| C22.9(D6⋊S3) = C12.6Dic6 | central extension (φ=1) | 96 | | C2^2.9(D6:S3) | 288,222 |
| C22.10(D6⋊S3) = C12.8Dic6 | central extension (φ=1) | 96 | | C2^2.10(D6:S3) | 288,224 |
| C22.11(D6⋊S3) = C62.6Q8 | central extension (φ=1) | 96 | | C2^2.11(D6:S3) | 288,227 |
| C22.12(D6⋊S3) = C2×C32⋊2D8 | central extension (φ=1) | 96 | | C2^2.12(D6:S3) | 288,469 |
| C22.13(D6⋊S3) = C2×Dic6⋊S3 | central extension (φ=1) | 96 | | C2^2.13(D6:S3) | 288,474 |
| C22.14(D6⋊S3) = C2×C32⋊2Q16 | central extension (φ=1) | 96 | | C2^2.14(D6:S3) | 288,482 |
| C22.15(D6⋊S3) = C2×D6⋊Dic3 | central extension (φ=1) | 96 | | C2^2.15(D6:S3) | 288,608 |
| C22.16(D6⋊S3) = C2×C62.C22 | central extension (φ=1) | 96 | | C2^2.16(D6:S3) | 288,615 |