Direct product G=NxQ with N=C4 and Q=D24
Semidirect products G=N:Q with N=C4 and Q=D24
Non-split extensions G=N.Q with N=C4 and Q=D24
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D24 = D96 | φ: D24/C24 → C2 ⊆ Aut C4 | 96 | 2+ | C4.1D24 | 192,7 |
| C4.2D24 = C32:S3 | φ: D24/C24 → C2 ⊆ Aut C4 | 96 | 2 | C4.2D24 | 192,8 |
| C4.3D24 = Dic48 | φ: D24/C24 → C2 ⊆ Aut C4 | 192 | 2- | C4.3D24 | 192,9 |
| C4.4D24 = C24:8Q8 | φ: D24/C24 → C2 ⊆ Aut C4 | 192 | | C4.4D24 | 192,241 |
| C4.5D24 = C4.5D24 | φ: D24/C24 → C2 ⊆ Aut C4 | 96 | | C4.5D24 | 192,253 |
| C4.6D24 = C2xD48 | φ: D24/C24 → C2 ⊆ Aut C4 | 96 | | C4.6D24 | 192,461 |
| C4.7D24 = C2xC48:C2 | φ: D24/C24 → C2 ⊆ Aut C4 | 96 | | C4.7D24 | 192,462 |
| C4.8D24 = C2xDic24 | φ: D24/C24 → C2 ⊆ Aut C4 | 192 | | C4.8D24 | 192,464 |
| C4.9D24 = C4.D24 | φ: D24/D12 → C2 ⊆ Aut C4 | 96 | | C4.9D24 | 192,44 |
| C4.10D24 = C12.2D8 | φ: D24/D12 → C2 ⊆ Aut C4 | 192 | | C4.10D24 | 192,45 |
| C4.11D24 = M5(2):S3 | φ: D24/D12 → C2 ⊆ Aut C4 | 48 | 4+ | C4.11D24 | 192,75 |
| C4.12D24 = C12.4D8 | φ: D24/D12 → C2 ⊆ Aut C4 | 96 | 4- | C4.12D24 | 192,76 |
| C4.13D24 = D12:4Q8 | φ: D24/D12 → C2 ⊆ Aut C4 | 96 | | C4.13D24 | 192,405 |
| C4.14D24 = C16:D6 | φ: D24/D12 → C2 ⊆ Aut C4 | 48 | 4+ | C4.14D24 | 192,467 |
| C4.15D24 = C16.D6 | φ: D24/D12 → C2 ⊆ Aut C4 | 96 | 4- | C4.15D24 | 192,468 |
| C4.16D24 = C24:1C8 | central extension (φ=1) | 192 | | C4.16D24 | 192,17 |
| C4.17D24 = C4.17D24 | central extension (φ=1) | 96 | | C4.17D24 | 192,18 |
| C4.18D24 = C48.C4 | central extension (φ=1) | 96 | 2 | C4.18D24 | 192,65 |
| C4.19D24 = D24.1C4 | central extension (φ=1) | 96 | 2 | C4.19D24 | 192,69 |
| C4.20D24 = D48:7C2 | central extension (φ=1) | 96 | 2 | C4.20D24 | 192,463 |
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