| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C12⋊S3) = C24.78D6 | φ: C12⋊S3/C3×C12 → C2 ⊆ Aut C22 | 144 | | C2^2.1(C12:S3) | 288,761 |
| C22.2(C12⋊S3) = C62.110D4 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.2(C12:S3) | 288,281 |
| C22.3(C12⋊S3) = C62.37D4 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.3(C12:S3) | 288,300 |
| C22.4(C12⋊S3) = C62.69D4 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.4(C12:S3) | 288,743 |
| C22.5(C12⋊S3) = C24⋊3D6 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.5(C12:S3) | 288,765 |
| C22.6(C12⋊S3) = C24.5D6 | φ: C12⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.6(C12:S3) | 288,766 |
| C22.7(C12⋊S3) = C6.4Dic12 | central extension (φ=1) | 288 | | C2^2.7(C12:S3) | 288,291 |
| C22.8(C12⋊S3) = C24⋊2Dic3 | central extension (φ=1) | 288 | | C2^2.8(C12:S3) | 288,292 |
| C22.9(C12⋊S3) = C24⋊1Dic3 | central extension (φ=1) | 288 | | C2^2.9(C12:S3) | 288,293 |
| C22.10(C12⋊S3) = C62.84D4 | central extension (φ=1) | 144 | | C2^2.10(C12:S3) | 288,296 |
| C22.11(C12⋊S3) = C62.15Q8 | central extension (φ=1) | 288 | | C2^2.11(C12:S3) | 288,306 |
| C22.12(C12⋊S3) = C2×C24⋊2S3 | central extension (φ=1) | 144 | | C2^2.12(C12:S3) | 288,759 |
| C22.13(C12⋊S3) = C2×C32⋊5D8 | central extension (φ=1) | 144 | | C2^2.13(C12:S3) | 288,760 |
| C22.14(C12⋊S3) = C2×C32⋊5Q16 | central extension (φ=1) | 288 | | C2^2.14(C12:S3) | 288,762 |
| C22.15(C12⋊S3) = C2×C12⋊Dic3 | central extension (φ=1) | 288 | | C2^2.15(C12:S3) | 288,782 |
| C22.16(C12⋊S3) = C2×C6.11D12 | central extension (φ=1) | 144 | | C2^2.16(C12:S3) | 288,784 |