Direct product G=N×Q with N=C4 and Q=D8
Semidirect products G=N:Q with N=C4 and Q=D8
Non-split extensions G=N.Q with N=C4 and Q=D8
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D8 = D32 | φ: D8/C8 → C2 ⊆ Aut C4 | 32 | 2+ | C4.1D8 | 64,52 |
| C4.2D8 = SD64 | φ: D8/C8 → C2 ⊆ Aut C4 | 32 | 2 | C4.2D8 | 64,53 |
| C4.3D8 = Q64 | φ: D8/C8 → C2 ⊆ Aut C4 | 64 | 2- | C4.3D8 | 64,54 |
| C4.4D8 = C4.4D8 | φ: D8/C8 → C2 ⊆ Aut C4 | 32 | | C4.4D8 | 64,167 |
| C4.5D8 = C8⋊2Q8 | φ: D8/C8 → C2 ⊆ Aut C4 | 64 | | C4.5D8 | 64,181 |
| C4.6D8 = C2×D16 | φ: D8/C8 → C2 ⊆ Aut C4 | 32 | | C4.6D8 | 64,186 |
| C4.7D8 = C2×SD32 | φ: D8/C8 → C2 ⊆ Aut C4 | 32 | | C4.7D8 | 64,187 |
| C4.8D8 = C2×Q32 | φ: D8/C8 → C2 ⊆ Aut C4 | 64 | | C4.8D8 | 64,188 |
| C4.9D8 = C4.D8 | φ: D8/D4 → C2 ⊆ Aut C4 | 32 | | C4.9D8 | 64,12 |
| C4.10D8 = C4.10D8 | φ: D8/D4 → C2 ⊆ Aut C4 | 64 | | C4.10D8 | 64,13 |
| C4.11D8 = M5(2)⋊C2 | φ: D8/D4 → C2 ⊆ Aut C4 | 16 | 4+ | C4.11D8 | 64,42 |
| C4.12D8 = C8.17D4 | φ: D8/D4 → C2 ⊆ Aut C4 | 32 | 4- | C4.12D8 | 64,43 |
| C4.13D8 = D4⋊Q8 | φ: D8/D4 → C2 ⊆ Aut C4 | 32 | | C4.13D8 | 64,155 |
| C4.14D8 = C16⋊C22 | φ: D8/D4 → C2 ⊆ Aut C4 | 16 | 4+ | C4.14D8 | 64,190 |
| C4.15D8 = Q32⋊C2 | φ: D8/D4 → C2 ⊆ Aut C4 | 32 | 4- | C4.15D8 | 64,191 |
| C4.16D8 = D4⋊C8 | central extension (φ=1) | 32 | | C4.16D8 | 64,6 |
| C4.17D8 = C8⋊1C8 | central extension (φ=1) | 64 | | C4.17D8 | 64,16 |
| C4.18D8 = D8.C4 | central extension (φ=1) | 32 | 2 | C4.18D8 | 64,40 |
| C4.19D8 = C8.4Q8 | central extension (φ=1) | 32 | 2 | C4.19D8 | 64,49 |
| C4.20D8 = C4○D16 | central extension (φ=1) | 32 | 2 | C4.20D8 | 64,189 |
×
⋊
ℤ
𝔽
○
≀
ℚ
◁