Direct product G=N×Q with N=C12 and Q=D6
Semidirect products G=N:Q with N=C12 and Q=D6
Non-split extensions G=N.Q with N=C12 and Q=D6
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1D6 = D4.D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4- | C12.1D6 | 144,15 |
| C12.2D6 = D4⋊D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4+ | C12.2D6 | 144,16 |
| C12.3D6 = C9⋊Q16 | φ: D6/C3 → C22 ⊆ Aut C12 | 144 | 4- | C12.3D6 | 144,17 |
| C12.4D6 = Q8⋊2D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4+ | C12.4D6 | 144,18 |
| C12.5D6 = D4×D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 36 | 4+ | C12.5D6 | 144,41 |
| C12.6D6 = D4⋊2D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4- | C12.6D6 | 144,42 |
| C12.7D6 = Q8×D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4- | C12.7D6 | 144,43 |
| C12.8D6 = Q8⋊3D9 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | 4+ | C12.8D6 | 144,44 |
| C12.9D6 = C32⋊2D8 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4 | C12.9D6 | 144,56 |
| C12.10D6 = C3⋊D24 | φ: D6/C3 → C22 ⊆ Aut C12 | 24 | 4+ | C12.10D6 | 144,57 |
| C12.11D6 = Dic6⋊S3 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4 | C12.11D6 | 144,58 |
| C12.12D6 = D12.S3 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4- | C12.12D6 | 144,59 |
| C12.13D6 = C32⋊5SD16 | φ: D6/C3 → C22 ⊆ Aut C12 | 24 | 4+ | C12.13D6 | 144,60 |
| C12.14D6 = C32⋊2Q16 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4 | C12.14D6 | 144,61 |
| C12.15D6 = C32⋊3Q16 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4- | C12.15D6 | 144,62 |
| C12.16D6 = C32⋊7D8 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.16D6 | 144,96 |
| C12.17D6 = C32⋊9SD16 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.17D6 | 144,97 |
| C12.18D6 = C32⋊11SD16 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.18D6 | 144,98 |
| C12.19D6 = C32⋊7Q16 | φ: D6/C3 → C22 ⊆ Aut C12 | 144 | | C12.19D6 | 144,99 |
| C12.20D6 = S3×Dic6 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4- | C12.20D6 | 144,137 |
| C12.21D6 = D12⋊5S3 | φ: D6/C3 → C22 ⊆ Aut C12 | 48 | 4- | C12.21D6 | 144,138 |
| C12.22D6 = D12⋊S3 | φ: D6/C3 → C22 ⊆ Aut C12 | 24 | 4 | C12.22D6 | 144,139 |
| C12.23D6 = Dic3.D6 | φ: D6/C3 → C22 ⊆ Aut C12 | 24 | 4 | C12.23D6 | 144,140 |
| C12.24D6 = C12.D6 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.24D6 | 144,173 |
| C12.25D6 = Q8×C3⋊S3 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.25D6 | 144,174 |
| C12.26D6 = C12.26D6 | φ: D6/C3 → C22 ⊆ Aut C12 | 72 | | C12.26D6 | 144,175 |
| C12.27D6 = D6.6D6 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4+ | C12.27D6 | 144,142 |
| C12.28D6 = S3×C3⋊C8 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.28D6 | 144,52 |
| C12.29D6 = C12.29D6 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.29D6 | 144,53 |
| C12.30D6 = D6.Dic3 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.30D6 | 144,54 |
| C12.31D6 = C12.31D6 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.31D6 | 144,55 |
| C12.32D6 = D6.D6 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.32D6 | 144,141 |
| C12.33D6 = C3×D4⋊S3 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.33D6 | 144,80 |
| C12.34D6 = C3×D4.S3 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.34D6 | 144,81 |
| C12.35D6 = C3×Q8⋊2S3 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.35D6 | 144,82 |
| C12.36D6 = C3×C3⋊Q16 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.36D6 | 144,83 |
| C12.37D6 = C3×D4⋊2S3 | φ: D6/S3 → C2 ⊆ Aut C12 | 24 | 4 | C12.37D6 | 144,163 |
| C12.38D6 = C3×S3×Q8 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.38D6 | 144,164 |
| C12.39D6 = C3×Q8⋊3S3 | φ: D6/S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.39D6 | 144,165 |
| C12.40D6 = Dic36 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | 2- | C12.40D6 | 144,4 |
| C12.41D6 = C72⋊C2 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.41D6 | 144,7 |
| C12.42D6 = D72 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2+ | C12.42D6 | 144,8 |
| C12.43D6 = C2×Dic18 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | | C12.43D6 | 144,37 |
| C12.44D6 = C2×D36 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.44D6 | 144,39 |
| C12.45D6 = D36⋊5C2 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.45D6 | 144,40 |
| C12.46D6 = C24⋊2S3 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.46D6 | 144,87 |
| C12.47D6 = C32⋊5D8 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.47D6 | 144,88 |
| C12.48D6 = C32⋊5Q16 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | | C12.48D6 | 144,89 |
| C12.49D6 = C2×C32⋊4Q8 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | | C12.49D6 | 144,168 |
| C12.50D6 = C8×D9 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.50D6 | 144,5 |
| C12.51D6 = C8⋊D9 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.51D6 | 144,6 |
| C12.52D6 = C2×C9⋊C8 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | | C12.52D6 | 144,9 |
| C12.53D6 = C4.Dic9 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.53D6 | 144,10 |
| C12.54D6 = C2×C4×D9 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.54D6 | 144,38 |
| C12.55D6 = C8×C3⋊S3 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.55D6 | 144,85 |
| C12.56D6 = C24⋊S3 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.56D6 | 144,86 |
| C12.57D6 = C2×C32⋊4C8 | φ: D6/C6 → C2 ⊆ Aut C12 | 144 | | C12.57D6 | 144,90 |
| C12.58D6 = C12.58D6 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.58D6 | 144,91 |
| C12.59D6 = C12.59D6 | φ: D6/C6 → C2 ⊆ Aut C12 | 72 | | C12.59D6 | 144,171 |
| C12.60D6 = C3×C24⋊C2 | φ: D6/C6 → C2 ⊆ Aut C12 | 48 | 2 | C12.60D6 | 144,71 |
| C12.61D6 = C3×D24 | φ: D6/C6 → C2 ⊆ Aut C12 | 48 | 2 | C12.61D6 | 144,72 |
| C12.62D6 = C3×Dic12 | φ: D6/C6 → C2 ⊆ Aut C12 | 48 | 2 | C12.62D6 | 144,73 |
| C12.63D6 = C6×Dic6 | φ: D6/C6 → C2 ⊆ Aut C12 | 48 | | C12.63D6 | 144,158 |
| C12.64D6 = S3×C24 | central extension (φ=1) | 48 | 2 | C12.64D6 | 144,69 |
| C12.65D6 = C3×C8⋊S3 | central extension (φ=1) | 48 | 2 | C12.65D6 | 144,70 |
| C12.66D6 = C6×C3⋊C8 | central extension (φ=1) | 48 | | C12.66D6 | 144,74 |
| C12.67D6 = C3×C4.Dic3 | central extension (φ=1) | 24 | 2 | C12.67D6 | 144,75 |
| C12.68D6 = C3×C4○D12 | central extension (φ=1) | 24 | 2 | C12.68D6 | 144,161 |
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