Direct product G=N×Q with N=C6 and Q=D6
Semidirect products G=N:Q with N=C6 and Q=D6
Non-split extensions G=N.Q with N=C6 and Q=D6
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1D6 = S3×Dic3 | φ: D6/S3 → C2 ⊆ Aut C6 | 24 | 4- | C6.1D6 | 72,20 |
| C6.2D6 = C6.D6 | φ: D6/S3 → C2 ⊆ Aut C6 | 12 | 4+ | C6.2D6 | 72,21 |
| C6.3D6 = D6⋊S3 | φ: D6/S3 → C2 ⊆ Aut C6 | 24 | 4- | C6.3D6 | 72,22 |
| C6.4D6 = C3⋊D12 | φ: D6/S3 → C2 ⊆ Aut C6 | 12 | 4+ | C6.4D6 | 72,23 |
| C6.5D6 = C32⋊2Q8 | φ: D6/S3 → C2 ⊆ Aut C6 | 24 | 4- | C6.5D6 | 72,24 |
| C6.6D6 = Dic18 | φ: D6/C6 → C2 ⊆ Aut C6 | 72 | 2- | C6.6D6 | 72,4 |
| C6.7D6 = C4×D9 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | 2 | C6.7D6 | 72,5 |
| C6.8D6 = D36 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | 2+ | C6.8D6 | 72,6 |
| C6.9D6 = C2×Dic9 | φ: D6/C6 → C2 ⊆ Aut C6 | 72 | | C6.9D6 | 72,7 |
| C6.10D6 = C9⋊D4 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | 2 | C6.10D6 | 72,8 |
| C6.11D6 = C22×D9 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | | C6.11D6 | 72,17 |
| C6.12D6 = C32⋊4Q8 | φ: D6/C6 → C2 ⊆ Aut C6 | 72 | | C6.12D6 | 72,31 |
| C6.13D6 = C4×C3⋊S3 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | | C6.13D6 | 72,32 |
| C6.14D6 = C12⋊S3 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | | C6.14D6 | 72,33 |
| C6.15D6 = C2×C3⋊Dic3 | φ: D6/C6 → C2 ⊆ Aut C6 | 72 | | C6.15D6 | 72,34 |
| C6.16D6 = C32⋊7D4 | φ: D6/C6 → C2 ⊆ Aut C6 | 36 | | C6.16D6 | 72,35 |
| C6.17D6 = C3×Dic6 | central extension (φ=1) | 24 | 2 | C6.17D6 | 72,26 |
| C6.18D6 = S3×C12 | central extension (φ=1) | 24 | 2 | C6.18D6 | 72,27 |
| C6.19D6 = C3×D12 | central extension (φ=1) | 24 | 2 | C6.19D6 | 72,28 |
| C6.20D6 = C6×Dic3 | central extension (φ=1) | 24 | | C6.20D6 | 72,29 |
| C6.21D6 = C3×C3⋊D4 | central extension (φ=1) | 12 | 2 | C6.21D6 | 72,30 |
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