| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C6×C3⋊S3) = C3×C12.D6 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.1(C6xC3:S3) | 432,715 |
| C22.2(C6×C3⋊S3) = C3×C12.59D6 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C22 | 72 | | C2^2.2(C6xC3:S3) | 432,713 |
| C22.3(C6×C3⋊S3) = C12×C3⋊Dic3 | central extension (φ=1) | 144 | | C2^2.3(C6xC3:S3) | 432,487 |
| C22.4(C6×C3⋊S3) = C3×C6.Dic6 | central extension (φ=1) | 144 | | C2^2.4(C6xC3:S3) | 432,488 |
| C22.5(C6×C3⋊S3) = C3×C12⋊Dic3 | central extension (φ=1) | 144 | | C2^2.5(C6xC3:S3) | 432,489 |
| C22.6(C6×C3⋊S3) = C3×C6.11D12 | central extension (φ=1) | 144 | | C2^2.6(C6xC3:S3) | 432,490 |
| C22.7(C6×C3⋊S3) = C3×C62⋊5C4 | central extension (φ=1) | 72 | | C2^2.7(C6xC3:S3) | 432,495 |
| C22.8(C6×C3⋊S3) = C6×C32⋊4Q8 | central extension (φ=1) | 144 | | C2^2.8(C6xC3:S3) | 432,710 |
| C22.9(C6×C3⋊S3) = C3⋊S3×C2×C12 | central extension (φ=1) | 144 | | C2^2.9(C6xC3:S3) | 432,711 |
| C22.10(C6×C3⋊S3) = C6×C12⋊S3 | central extension (φ=1) | 144 | | C2^2.10(C6xC3:S3) | 432,712 |
| C22.11(C6×C3⋊S3) = C2×C6×C3⋊Dic3 | central extension (φ=1) | 144 | | C2^2.11(C6xC3:S3) | 432,718 |