| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C4×C3⋊S3) = C24.47D6 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C22 | 144 | | C2^2.1(C4xC3:S3) | 288,764 |
| C22.2(C4×C3⋊S3) = C24.95D6 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C22 | 144 | | C2^2.2(C4xC3:S3) | 288,758 |
| C22.3(C4×C3⋊S3) = C62.110D4 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.3(C4xC3:S3) | 288,281 |
| C22.4(C4×C3⋊S3) = C12.19D12 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.4(C4xC3:S3) | 288,298 |
| C22.5(C4×C3⋊S3) = C12.20D12 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.5(C4xC3:S3) | 288,299 |
| C22.6(C4×C3⋊S3) = C62.221C23 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.6(C4xC3:S3) | 288,734 |
| C22.7(C4×C3⋊S3) = M4(2)×C3⋊S3 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.7(C4xC3:S3) | 288,763 |
| C22.8(C4×C3⋊S3) = C8×C3⋊Dic3 | central extension (φ=1) | 288 | | C2^2.8(C4xC3:S3) | 288,288 |
| C22.9(C4×C3⋊S3) = C12.30Dic6 | central extension (φ=1) | 288 | | C2^2.9(C4xC3:S3) | 288,289 |
| C22.10(C4×C3⋊S3) = C24⋊Dic3 | central extension (φ=1) | 288 | | C2^2.10(C4xC3:S3) | 288,290 |
| C22.11(C4×C3⋊S3) = C12.60D12 | central extension (φ=1) | 144 | | C2^2.11(C4xC3:S3) | 288,295 |
| C22.12(C4×C3⋊S3) = C62.15Q8 | central extension (φ=1) | 288 | | C2^2.12(C4xC3:S3) | 288,306 |
| C22.13(C4×C3⋊S3) = C2×C8×C3⋊S3 | central extension (φ=1) | 144 | | C2^2.13(C4xC3:S3) | 288,756 |
| C22.14(C4×C3⋊S3) = C2×C24⋊S3 | central extension (φ=1) | 144 | | C2^2.14(C4xC3:S3) | 288,757 |
| C22.15(C4×C3⋊S3) = C2×C4×C3⋊Dic3 | central extension (φ=1) | 288 | | C2^2.15(C4xC3:S3) | 288,779 |
| C22.16(C4×C3⋊S3) = C2×C6.Dic6 | central extension (φ=1) | 288 | | C2^2.16(C4xC3:S3) | 288,780 |
| C22.17(C4×C3⋊S3) = C2×C6.11D12 | central extension (φ=1) | 144 | | C2^2.17(C4xC3:S3) | 288,784 |