Direct product G=N×Q with N=C4 and Q=D40
Semidirect products G=N:Q with N=C4 and Q=D40
Non-split extensions G=N.Q with N=C4 and Q=D40
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D40 = D160 | φ: D40/C40 → C2 ⊆ Aut C4 | 160 | 2+ | C4.1D40 | 320,6 |
| C4.2D40 = C160⋊C2 | φ: D40/C40 → C2 ⊆ Aut C4 | 160 | 2 | C4.2D40 | 320,7 |
| C4.3D40 = Dic80 | φ: D40/C40 → C2 ⊆ Aut C4 | 320 | 2- | C4.3D40 | 320,8 |
| C4.4D40 = C40⋊8Q8 | φ: D40/C40 → C2 ⊆ Aut C4 | 320 | | C4.4D40 | 320,309 |
| C4.5D40 = C4.5D40 | φ: D40/C40 → C2 ⊆ Aut C4 | 160 | | C4.5D40 | 320,321 |
| C4.6D40 = C2×D80 | φ: D40/C40 → C2 ⊆ Aut C4 | 160 | | C4.6D40 | 320,529 |
| C4.7D40 = C2×C16⋊D5 | φ: D40/C40 → C2 ⊆ Aut C4 | 160 | | C4.7D40 | 320,530 |
| C4.8D40 = C2×Dic40 | φ: D40/C40 → C2 ⊆ Aut C4 | 320 | | C4.8D40 | 320,532 |
| C4.9D40 = C4.D40 | φ: D40/D20 → C2 ⊆ Aut C4 | 160 | | C4.9D40 | 320,43 |
| C4.10D40 = C20.2D8 | φ: D40/D20 → C2 ⊆ Aut C4 | 320 | | C4.10D40 | 320,44 |
| C4.11D40 = D40.4C4 | φ: D40/D20 → C2 ⊆ Aut C4 | 80 | 4+ | C4.11D40 | 320,74 |
| C4.12D40 = C20.4D8 | φ: D40/D20 → C2 ⊆ Aut C4 | 160 | 4- | C4.12D40 | 320,75 |
| C4.13D40 = D20⋊4Q8 | φ: D40/D20 → C2 ⊆ Aut C4 | 160 | | C4.13D40 | 320,473 |
| C4.14D40 = D80⋊C2 | φ: D40/D20 → C2 ⊆ Aut C4 | 80 | 4+ | C4.14D40 | 320,535 |
| C4.15D40 = C16.D10 | φ: D40/D20 → C2 ⊆ Aut C4 | 160 | 4- | C4.15D40 | 320,536 |
| C4.16D40 = C40⋊5C8 | central extension (φ=1) | 320 | | C4.16D40 | 320,16 |
| C4.17D40 = D20⋊3C8 | central extension (φ=1) | 160 | | C4.17D40 | 320,17 |
| C4.18D40 = C80.6C4 | central extension (φ=1) | 160 | 2 | C4.18D40 | 320,64 |
| C4.19D40 = D40.3C4 | central extension (φ=1) | 160 | 2 | C4.19D40 | 320,68 |
| C4.20D40 = D80⋊7C2 | central extension (φ=1) | 160 | 2 | C4.20D40 | 320,531 |
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