Direct product G=N×Q with N=C4 and Q=D56
Semidirect products G=N:Q with N=C4 and Q=D56
Non-split extensions G=N.Q with N=C4 and Q=D56
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D56 = D224 | φ: D56/C56 → C2 ⊆ Aut C4 | 224 | 2+ | C4.1D56 | 448,5 |
| C4.2D56 = C224⋊C2 | φ: D56/C56 → C2 ⊆ Aut C4 | 224 | 2 | C4.2D56 | 448,6 |
| C4.3D56 = Dic112 | φ: D56/C56 → C2 ⊆ Aut C4 | 448 | 2- | C4.3D56 | 448,7 |
| C4.4D56 = C56⋊8Q8 | φ: D56/C56 → C2 ⊆ Aut C4 | 448 | | C4.4D56 | 448,216 |
| C4.5D56 = C4.5D56 | φ: D56/C56 → C2 ⊆ Aut C4 | 224 | | C4.5D56 | 448,228 |
| C4.6D56 = C2×D112 | φ: D56/C56 → C2 ⊆ Aut C4 | 224 | | C4.6D56 | 448,436 |
| C4.7D56 = C2×C112⋊C2 | φ: D56/C56 → C2 ⊆ Aut C4 | 224 | | C4.7D56 | 448,437 |
| C4.8D56 = C2×Dic56 | φ: D56/C56 → C2 ⊆ Aut C4 | 448 | | C4.8D56 | 448,439 |
| C4.9D56 = C4.D56 | φ: D56/D28 → C2 ⊆ Aut C4 | 224 | | C4.9D56 | 448,42 |
| C4.10D56 = C28.2D8 | φ: D56/D28 → C2 ⊆ Aut C4 | 448 | | C4.10D56 | 448,43 |
| C4.11D56 = C28.3D8 | φ: D56/D28 → C2 ⊆ Aut C4 | 112 | 4+ | C4.11D56 | 448,73 |
| C4.12D56 = C28.4D8 | φ: D56/D28 → C2 ⊆ Aut C4 | 224 | 4- | C4.12D56 | 448,74 |
| C4.13D56 = D28⋊4Q8 | φ: D56/D28 → C2 ⊆ Aut C4 | 224 | | C4.13D56 | 448,380 |
| C4.14D56 = C16⋊D14 | φ: D56/D28 → C2 ⊆ Aut C4 | 112 | 4+ | C4.14D56 | 448,442 |
| C4.15D56 = C16.D14 | φ: D56/D28 → C2 ⊆ Aut C4 | 224 | 4- | C4.15D56 | 448,443 |
| C4.16D56 = C56⋊1C8 | central extension (φ=1) | 448 | | C4.16D56 | 448,15 |
| C4.17D56 = C4.17D56 | central extension (φ=1) | 224 | | C4.17D56 | 448,16 |
| C4.18D56 = C112.C4 | central extension (φ=1) | 224 | 2 | C4.18D56 | 448,63 |
| C4.19D56 = D56.1C4 | central extension (φ=1) | 224 | 2 | C4.19D56 | 448,67 |
| C4.20D56 = D112⋊7C2 | central extension (φ=1) | 224 | 2 | C4.20D56 | 448,438 |
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