Direct product G=N×Q with N=C4 and Q=D4
Semidirect products G=N:Q with N=C4 and Q=D4
Non-split extensions G=N.Q with N=C4 and Q=D4
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D4 = D16 | φ: D4/C4 → C2 ⊆ Aut C4 | 16 | 2+ | C4.1D4 | 32,18 |
| C4.2D4 = SD32 | φ: D4/C4 → C2 ⊆ Aut C4 | 16 | 2 | C4.2D4 | 32,19 |
| C4.3D4 = Q32 | φ: D4/C4 → C2 ⊆ Aut C4 | 32 | 2- | C4.3D4 | 32,20 |
| C4.4D4 = C4.4D4 | φ: D4/C4 → C2 ⊆ Aut C4 | 16 | | C4.4D4 | 32,31 |
| C4.5D4 = C4⋊Q8 | φ: D4/C4 → C2 ⊆ Aut C4 | 32 | | C4.5D4 | 32,35 |
| C4.6D4 = C2×D8 | φ: D4/C4 → C2 ⊆ Aut C4 | 16 | | C4.6D4 | 32,39 |
| C4.7D4 = C2×SD16 | φ: D4/C4 → C2 ⊆ Aut C4 | 16 | | C4.7D4 | 32,40 |
| C4.8D4 = C2×Q16 | φ: D4/C4 → C2 ⊆ Aut C4 | 32 | | C4.8D4 | 32,41 |
| C4.9D4 = C4.D4 | φ: D4/C22 → C2 ⊆ Aut C4 | 8 | 4+ | C4.9D4 | 32,7 |
| C4.10D4 = C4.10D4 | φ: D4/C22 → C2 ⊆ Aut C4 | 16 | 4- | C4.10D4 | 32,8 |
| C4.11D4 = D4⋊C4 | φ: D4/C22 → C2 ⊆ Aut C4 | 16 | | C4.11D4 | 32,9 |
| C4.12D4 = Q8⋊C4 | φ: D4/C22 → C2 ⊆ Aut C4 | 32 | | C4.12D4 | 32,10 |
| C4.13D4 = C22⋊Q8 | φ: D4/C22 → C2 ⊆ Aut C4 | 16 | | C4.13D4 | 32,29 |
| C4.14D4 = C8⋊C22 | φ: D4/C22 → C2 ⊆ Aut C4 | 8 | 4+ | C4.14D4 | 32,43 |
| C4.15D4 = C8.C22 | φ: D4/C22 → C2 ⊆ Aut C4 | 16 | 4- | C4.15D4 | 32,44 |
| C4.16D4 = C22⋊C8 | central extension (φ=1) | 16 | | C4.16D4 | 32,5 |
| C4.17D4 = C4≀C2 | central extension (φ=1) | 8 | 2 | C4.17D4 | 32,11 |
| C4.18D4 = C4⋊C8 | central extension (φ=1) | 32 | | C4.18D4 | 32,12 |
| C4.19D4 = C8.C4 | central extension (φ=1) | 16 | 2 | C4.19D4 | 32,15 |
| C4.20D4 = C4○D8 | central extension (φ=1) | 16 | 2 | C4.20D4 | 32,42 |
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