| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(S3×C3×C6) = C32×D4⋊2S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C22 | 72 | | C2^2.1(S3xC3xC6) | 432,705 |
| C22.2(S3×C3×C6) = C32×C4○D12 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C22 | 72 | | C2^2.2(S3xC3xC6) | 432,703 |
| C22.3(S3×C3×C6) = Dic3×C3×C12 | central extension (φ=1) | 144 | | C2^2.3(S3xC3xC6) | 432,471 |
| C22.4(S3×C3×C6) = C32×Dic3⋊C4 | central extension (φ=1) | 144 | | C2^2.4(S3xC3xC6) | 432,472 |
| C22.5(S3×C3×C6) = C32×C4⋊Dic3 | central extension (φ=1) | 144 | | C2^2.5(S3xC3xC6) | 432,473 |
| C22.6(S3×C3×C6) = C32×D6⋊C4 | central extension (φ=1) | 144 | | C2^2.6(S3xC3xC6) | 432,474 |
| C22.7(S3×C3×C6) = C32×C6.D4 | central extension (φ=1) | 72 | | C2^2.7(S3xC3xC6) | 432,479 |
| C22.8(S3×C3×C6) = C3×C6×Dic6 | central extension (φ=1) | 144 | | C2^2.8(S3xC3xC6) | 432,700 |
| C22.9(S3×C3×C6) = S3×C6×C12 | central extension (φ=1) | 144 | | C2^2.9(S3xC3xC6) | 432,701 |
| C22.10(S3×C3×C6) = C3×C6×D12 | central extension (φ=1) | 144 | | C2^2.10(S3xC3xC6) | 432,702 |
| C22.11(S3×C3×C6) = Dic3×C62 | central extension (φ=1) | 144 | | C2^2.11(S3xC3xC6) | 432,708 |