Direct product G=NxQ with N=Dic7 and Q=D8
Semidirect products G=N:Q with N=Dic7 and Q=D8
Non-split extensions G=N.Q with N=Dic7 and Q=D8
extension | φ:Q→Out N | d | ρ | Label | ID |
Dic7.1D8 = Dic7.SD16 | φ: D8/C8 → C2 ⊆ Out Dic7 | 224 | | Dic7.1D8 | 448,294 |
Dic7.2D8 = C56:2Q8 | φ: D8/C8 → C2 ⊆ Out Dic7 | 448 | | Dic7.2D8 | 448,408 |
Dic7.3D8 = D7xD16 | φ: D8/C8 → C2 ⊆ Out Dic7 | 112 | 4+ | Dic7.3D8 | 448,444 |
Dic7.4D8 = D7xSD32 | φ: D8/C8 → C2 ⊆ Out Dic7 | 112 | 4 | Dic7.4D8 | 448,447 |
Dic7.5D8 = D7xQ32 | φ: D8/C8 → C2 ⊆ Out Dic7 | 224 | 4- | Dic7.5D8 | 448,451 |
Dic7.6D8 = Dic7.D8 | φ: D8/D4 → C2 ⊆ Out Dic7 | 224 | | Dic7.6D8 | 448,293 |
Dic7.7D8 = D28:2Q8 | φ: D8/D4 → C2 ⊆ Out Dic7 | 224 | | Dic7.7D8 | 448,424 |
Dic7.8D8 = D8:D14 | φ: D8/D4 → C2 ⊆ Out Dic7 | 112 | 4 | Dic7.8D8 | 448,445 |
Dic7.9D8 = D112:C2 | φ: D8/D4 → C2 ⊆ Out Dic7 | 112 | 4+ | Dic7.9D8 | 448,448 |
Dic7.10D8 = SD32:D7 | φ: D8/D4 → C2 ⊆ Out Dic7 | 224 | 4- | Dic7.10D8 | 448,449 |
Dic7.11D8 = Q32:D7 | φ: D8/D4 → C2 ⊆ Out Dic7 | 224 | 4 | Dic7.11D8 | 448,452 |
Dic7.12D8 = D16:3D7 | φ: trivial image | 224 | 4- | Dic7.12D8 | 448,446 |
Dic7.13D8 = SD32:3D7 | φ: trivial image | 224 | 4 | Dic7.13D8 | 448,450 |
Dic7.14D8 = Q32:3D7 | φ: trivial image | 224 | 4+ | Dic7.14D8 | 448,453 |
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