Direct product G=N×Q with N=C4 and Q=D36
Semidirect products G=N:Q with N=C4 and Q=D36
Non-split extensions G=N.Q with N=C4 and Q=D36
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1D36 = D144 | φ: D36/C36 → C2 ⊆ Aut C4 | 144 | 2+ | C4.1D36 | 288,6 |
| C4.2D36 = C144⋊C2 | φ: D36/C36 → C2 ⊆ Aut C4 | 144 | 2 | C4.2D36 | 288,7 |
| C4.3D36 = Dic72 | φ: D36/C36 → C2 ⊆ Aut C4 | 288 | 2- | C4.3D36 | 288,8 |
| C4.4D36 = C36⋊2Q8 | φ: D36/C36 → C2 ⊆ Aut C4 | 288 | | C4.4D36 | 288,79 |
| C4.5D36 = C42⋊7D9 | φ: D36/C36 → C2 ⊆ Aut C4 | 144 | | C4.5D36 | 288,85 |
| C4.6D36 = C2×Dic36 | φ: D36/C36 → C2 ⊆ Aut C4 | 288 | | C4.6D36 | 288,109 |
| C4.7D36 = C2×C72⋊C2 | φ: D36/C36 → C2 ⊆ Aut C4 | 144 | | C4.7D36 | 288,113 |
| C4.8D36 = C2×D72 | φ: D36/C36 → C2 ⊆ Aut C4 | 144 | | C4.8D36 | 288,114 |
| C4.9D36 = C18.Q16 | φ: D36/D18 → C2 ⊆ Aut C4 | 288 | | C4.9D36 | 288,16 |
| C4.10D36 = C18.D8 | φ: D36/D18 → C2 ⊆ Aut C4 | 144 | | C4.10D36 | 288,17 |
| C4.11D36 = C4.D36 | φ: D36/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.11D36 | 288,30 |
| C4.12D36 = C36.48D4 | φ: D36/D18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.12D36 | 288,31 |
| C4.13D36 = D18⋊2Q8 | φ: D36/D18 → C2 ⊆ Aut C4 | 144 | | C4.13D36 | 288,107 |
| C4.14D36 = C8⋊D18 | φ: D36/D18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.14D36 | 288,118 |
| C4.15D36 = C8.D18 | φ: D36/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.15D36 | 288,119 |
| C4.16D36 = C36⋊C8 | central extension (φ=1) | 288 | | C4.16D36 | 288,11 |
| C4.17D36 = C42⋊4D9 | central extension (φ=1) | 72 | 2 | C4.17D36 | 288,12 |
| C4.18D36 = C72.C4 | central extension (φ=1) | 144 | 2 | C4.18D36 | 288,20 |
| C4.19D36 = D18⋊C8 | central extension (φ=1) | 144 | | C4.19D36 | 288,27 |
| C4.20D36 = D72⋊7C2 | central extension (φ=1) | 144 | 2 | C4.20D36 | 288,115 |
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