extension | φ:Q→Aut N | d | ρ | Label | ID |
C22.1(C3×D12) = C3×C4○D24 | φ: C3×D12/C3×C12 → C2 ⊆ Aut C22 | 48 | 2 | C2^2.1(C3xD12) | 288,675 |
C22.2(C3×D12) = C3×C23.6D6 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C22 | 24 | 4 | C2^2.2(C3xD12) | 288,240 |
C22.3(C3×D12) = C3×D12⋊C4 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.3(C3xD12) | 288,259 |
C22.4(C3×D12) = C3×C23.21D6 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C22 | 48 | | C2^2.4(C3xD12) | 288,657 |
C22.5(C3×D12) = C3×C8⋊D6 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.5(C3xD12) | 288,679 |
C22.6(C3×D12) = C3×C8.D6 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.6(C3xD12) | 288,680 |
C22.7(C3×D12) = C3×C2.Dic12 | central extension (φ=1) | 96 | | C2^2.7(C3xD12) | 288,250 |
C22.8(C3×D12) = C3×C8⋊Dic3 | central extension (φ=1) | 96 | | C2^2.8(C3xD12) | 288,251 |
C22.9(C3×D12) = C3×C24⋊1C4 | central extension (φ=1) | 96 | | C2^2.9(C3xD12) | 288,252 |
C22.10(C3×D12) = C3×C2.D24 | central extension (φ=1) | 96 | | C2^2.10(C3xD12) | 288,255 |
C22.11(C3×D12) = C3×C6.C42 | central extension (φ=1) | 96 | | C2^2.11(C3xD12) | 288,265 |
C22.12(C3×D12) = C6×C24⋊C2 | central extension (φ=1) | 96 | | C2^2.12(C3xD12) | 288,673 |
C22.13(C3×D12) = C6×D24 | central extension (φ=1) | 96 | | C2^2.13(C3xD12) | 288,674 |
C22.14(C3×D12) = C6×Dic12 | central extension (φ=1) | 96 | | C2^2.14(C3xD12) | 288,676 |
C22.15(C3×D12) = C6×C4⋊Dic3 | central extension (φ=1) | 96 | | C2^2.15(C3xD12) | 288,696 |
C22.16(C3×D12) = C6×D6⋊C4 | central extension (φ=1) | 96 | | C2^2.16(C3xD12) | 288,698 |