Direct product G=N×Q with N=C4 and Q=D12
Semidirect products G=N:Q with N=C4 and Q=D12
Non-split extensions G=N.Q with N=C4 and Q=D12
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D12 = D48 | φ: D12/C12 → C2 ⊆ Aut C4 | 48 | 2+ | C4.1D12 | 96,6 |
| C4.2D12 = C48⋊C2 | φ: D12/C12 → C2 ⊆ Aut C4 | 48 | 2 | C4.2D12 | 96,7 |
| C4.3D12 = Dic24 | φ: D12/C12 → C2 ⊆ Aut C4 | 96 | 2- | C4.3D12 | 96,8 |
| C4.4D12 = C12⋊2Q8 | φ: D12/C12 → C2 ⊆ Aut C4 | 96 | | C4.4D12 | 96,76 |
| C4.5D12 = C42⋊7S3 | φ: D12/C12 → C2 ⊆ Aut C4 | 48 | | C4.5D12 | 96,82 |
| C4.6D12 = C2×C24⋊C2 | φ: D12/C12 → C2 ⊆ Aut C4 | 48 | | C4.6D12 | 96,109 |
| C4.7D12 = C2×D24 | φ: D12/C12 → C2 ⊆ Aut C4 | 48 | | C4.7D12 | 96,110 |
| C4.8D12 = C2×Dic12 | φ: D12/C12 → C2 ⊆ Aut C4 | 96 | | C4.8D12 | 96,112 |
| C4.9D12 = C6.D8 | φ: D12/D6 → C2 ⊆ Aut C4 | 48 | | C4.9D12 | 96,16 |
| C4.10D12 = C6.SD16 | φ: D12/D6 → C2 ⊆ Aut C4 | 96 | | C4.10D12 | 96,17 |
| C4.11D12 = C12.46D4 | φ: D12/D6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.11D12 | 96,30 |
| C4.12D12 = C12.47D4 | φ: D12/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.12D12 | 96,31 |
| C4.13D12 = C4.D12 | φ: D12/D6 → C2 ⊆ Aut C4 | 48 | | C4.13D12 | 96,104 |
| C4.14D12 = C8⋊D6 | φ: D12/D6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.14D12 | 96,115 |
| C4.15D12 = C8.D6 | φ: D12/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.15D12 | 96,116 |
| C4.16D12 = C12⋊C8 | central extension (φ=1) | 96 | | C4.16D12 | 96,11 |
| C4.17D12 = C42⋊4S3 | central extension (φ=1) | 24 | 2 | C4.17D12 | 96,12 |
| C4.18D12 = C24.C4 | central extension (φ=1) | 48 | 2 | C4.18D12 | 96,26 |
| C4.19D12 = D6⋊C8 | central extension (φ=1) | 48 | | C4.19D12 | 96,27 |
| C4.20D12 = C4○D24 | central extension (φ=1) | 48 | 2 | C4.20D12 | 96,111 |
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