| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(S3×C12) = C3×D12.C4 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.1(S3xC12) | 288,678 |
| C22.2(S3×C12) = C3×C8○D12 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C22 | 48 | 2 | C2^2.2(S3xC12) | 288,672 |
| C22.3(S3×C12) = C3×C23.6D6 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C22 | 24 | 4 | C2^2.3(S3xC12) | 288,240 |
| C22.4(S3×C12) = C3×C12.46D4 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.4(S3xC12) | 288,257 |
| C22.5(S3×C12) = C3×C12.47D4 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.5(S3xC12) | 288,258 |
| C22.6(S3×C12) = C3×C23.16D6 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C22 | 48 | | C2^2.6(S3xC12) | 288,648 |
| C22.7(S3×C12) = C3×S3×M4(2) | φ: S3×C12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.7(S3xC12) | 288,677 |
| C22.8(S3×C12) = Dic3×C24 | central extension (φ=1) | 96 | | C2^2.8(S3xC12) | 288,247 |
| C22.9(S3×C12) = C3×Dic3⋊C8 | central extension (φ=1) | 96 | | C2^2.9(S3xC12) | 288,248 |
| C22.10(S3×C12) = C3×C24⋊C4 | central extension (φ=1) | 96 | | C2^2.10(S3xC12) | 288,249 |
| C22.11(S3×C12) = C3×D6⋊C8 | central extension (φ=1) | 96 | | C2^2.11(S3xC12) | 288,254 |
| C22.12(S3×C12) = C3×C6.C42 | central extension (φ=1) | 96 | | C2^2.12(S3xC12) | 288,265 |
| C22.13(S3×C12) = S3×C2×C24 | central extension (φ=1) | 96 | | C2^2.13(S3xC12) | 288,670 |
| C22.14(S3×C12) = C6×C8⋊S3 | central extension (φ=1) | 96 | | C2^2.14(S3xC12) | 288,671 |
| C22.15(S3×C12) = Dic3×C2×C12 | central extension (φ=1) | 96 | | C2^2.15(S3xC12) | 288,693 |
| C22.16(S3×C12) = C6×Dic3⋊C4 | central extension (φ=1) | 96 | | C2^2.16(S3xC12) | 288,694 |
| C22.17(S3×C12) = C6×D6⋊C4 | central extension (φ=1) | 96 | | C2^2.17(S3xC12) | 288,698 |