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Extensions 1→N→G→Q→1 with N=C12 and Q=D8

Direct product G=N×Q with N=C12 and Q=D8
dρLabelID
C12×D896C12xD8192,870

Semidirect products G=N:Q with N=C12 and Q=D8
extensionφ:Q→Aut NdρLabelID
C12⋊1D8 = C4⋊D24φ: D8/C4 → C22 ⊆ Aut C1296C12:1D8192,402
C12⋊2D8 = C12⋊2D8φ: D8/C4 → C22 ⊆ Aut C1296C12:2D8192,631
C12⋊3D8 = C12⋊D8φ: D8/C4 → C22 ⊆ Aut C1296C12:3D8192,632
C12⋊4D8 = C12⋊4D8φ: D8/C8 → C2 ⊆ Aut C1296C12:4D8192,254
C12⋊5D8 = C4×D24φ: D8/C8 → C2 ⊆ Aut C1296C12:5D8192,251
C12⋊6D8 = C3×C8⋊4D4φ: D8/C8 → C2 ⊆ Aut C1296C12:6D8192,926
C12⋊7D8 = C12⋊7D8φ: D8/D4 → C2 ⊆ Aut C1296C12:7D8192,574
C12⋊8D8 = C4×D4⋊S3φ: D8/D4 → C2 ⊆ Aut C1296C12:8D8192,572
C12⋊9D8 = C3×C4⋊D8φ: D8/D4 → C2 ⊆ Aut C1296C12:9D8192,892

Non-split extensions G=N.Q with N=C12 and Q=D8
extensionφ:Q→Aut NdρLabelID
C12.1D8 = C4.D24φ: D8/C4 → C22 ⊆ Aut C1296C12.1D8192,44
C12.2D8 = C12.2D8φ: D8/C4 → C22 ⊆ Aut C12192C12.2D8192,45
C12.3D8 = M5(2)⋊S3φ: D8/C4 → C22 ⊆ Aut C12484+C12.3D8192,75
C12.4D8 = C12.4D8φ: D8/C4 → C22 ⊆ Aut C12964-C12.4D8192,76
C12.5D8 = C3⋊D32φ: D8/C4 → C22 ⊆ Aut C12964+C12.5D8192,78
C12.6D8 = D16.S3φ: D8/C4 → C22 ⊆ Aut C12964-C12.6D8192,79
C12.7D8 = C3⋊SD64φ: D8/C4 → C22 ⊆ Aut C12964+C12.7D8192,80
C12.8D8 = C3⋊Q64φ: D8/C4 → C22 ⊆ Aut C121924-C12.8D8192,81
C12.9D8 = C12.9D8φ: D8/C4 → C22 ⊆ Aut C1296C12.9D8192,103
C12.10D8 = C12.10D8φ: D8/C4 → C22 ⊆ Aut C12192C12.10D8192,106
C12.11D8 = D8.Dic3φ: D8/C4 → C22 ⊆ Aut C12484C12.11D8192,122
C12.12D8 = Q16.Dic3φ: D8/C4 → C22 ⊆ Aut C12964C12.12D8192,124
C12.13D8 = D12⋊4Q8φ: D8/C4 → C22 ⊆ Aut C1296C12.13D8192,405
C12.14D8 = C16⋊D6φ: D8/C4 → C22 ⊆ Aut C12484+C12.14D8192,467
C12.15D8 = C16.D6φ: D8/C4 → C22 ⊆ Aut C12964-C12.15D8192,468
C12.16D8 = C12.16D8φ: D8/C4 → C22 ⊆ Aut C1296C12.16D8192,629
C12.17D8 = C12.17D8φ: D8/C4 → C22 ⊆ Aut C12192C12.17D8192,637
C12.18D8 = D12⋊6Q8φ: D8/C4 → C22 ⊆ Aut C1296C12.18D8192,646
C12.19D8 = C12.D8φ: D8/C4 → C22 ⊆ Aut C1296C12.19D8192,647
C12.20D8 = C2×C3⋊D16φ: D8/C4 → C22 ⊆ Aut C1296C12.20D8192,705
C12.21D8 = D8.D6φ: D8/C4 → C22 ⊆ Aut C12484C12.21D8192,706
C12.22D8 = C2×D8.S3φ: D8/C4 → C22 ⊆ Aut C1296C12.22D8192,707
C12.23D8 = C2×C8.6D6φ: D8/C4 → C22 ⊆ Aut C1296C12.23D8192,737
C12.24D8 = C24.27C23φ: D8/C4 → C22 ⊆ Aut C12964C12.24D8192,738
C12.25D8 = C2×C3⋊Q32φ: D8/C4 → C22 ⊆ Aut C12192C12.25D8192,739
C12.26D8 = D96φ: D8/C8 → C2 ⊆ Aut C12962+C12.26D8192,7
C12.27D8 = C32⋊S3φ: D8/C8 → C2 ⊆ Aut C12962C12.27D8192,8
C12.28D8 = Dic48φ: D8/C8 → C2 ⊆ Aut C121922-C12.28D8192,9
C12.29D8 = C24⋊8Q8φ: D8/C8 → C2 ⊆ Aut C12192C12.29D8192,241
C12.30D8 = C4.5D24φ: D8/C8 → C2 ⊆ Aut C1296C12.30D8192,253
C12.31D8 = C2×D48φ: D8/C8 → C2 ⊆ Aut C1296C12.31D8192,461
C12.32D8 = C2×C48⋊C2φ: D8/C8 → C2 ⊆ Aut C1296C12.32D8192,462
C12.33D8 = C2×Dic24φ: D8/C8 → C2 ⊆ Aut C12192C12.33D8192,464
C12.34D8 = C24⋊1C8φ: D8/C8 → C2 ⊆ Aut C12192C12.34D8192,17
C12.35D8 = C4.17D24φ: D8/C8 → C2 ⊆ Aut C1296C12.35D8192,18
C12.36D8 = C48.C4φ: D8/C8 → C2 ⊆ Aut C12962C12.36D8192,65
C12.37D8 = D24.1C4φ: D8/C8 → C2 ⊆ Aut C12962C12.37D8192,69
C12.38D8 = D48⋊7C2φ: D8/C8 → C2 ⊆ Aut C12962C12.38D8192,463
C12.39D8 = C3×D32φ: D8/C8 → C2 ⊆ Aut C12962C12.39D8192,177
C12.40D8 = C3×SD64φ: D8/C8 → C2 ⊆ Aut C12962C12.40D8192,178
C12.41D8 = C3×Q64φ: D8/C8 → C2 ⊆ Aut C121922C12.41D8192,179
C12.42D8 = C3×C4.4D8φ: D8/C8 → C2 ⊆ Aut C1296C12.42D8192,919
C12.43D8 = C3×C8⋊2Q8φ: D8/C8 → C2 ⊆ Aut C12192C12.43D8192,933
C12.44D8 = C6×D16φ: D8/C8 → C2 ⊆ Aut C1296C12.44D8192,938
C12.45D8 = C6×SD32φ: D8/C8 → C2 ⊆ Aut C1296C12.45D8192,939
C12.46D8 = C6×Q32φ: D8/C8 → C2 ⊆ Aut C12192C12.46D8192,940
C12.47D8 = C12.47D8φ: D8/D4 → C2 ⊆ Aut C12192C12.47D8192,41
C12.48D8 = D24.C4φ: D8/D4 → C2 ⊆ Aut C12484+C12.48D8192,54
C12.49D8 = C24.8D4φ: D8/D4 → C2 ⊆ Aut C12964-C12.49D8192,55
C12.50D8 = C12.50D8φ: D8/D4 → C2 ⊆ Aut C1296C12.50D8192,566
C12.51D8 = Q16⋊D6φ: D8/D4 → C2 ⊆ Aut C12484+C12.51D8192,752
C12.52D8 = D8.9D6φ: D8/D4 → C2 ⊆ Aut C12964-C12.52D8192,754
C12.53D8 = C12.53D8φ: D8/D4 → C2 ⊆ Aut C12192C12.53D8192,38
C12.54D8 = D12⋊2C8φ: D8/D4 → C2 ⊆ Aut C1296C12.54D8192,42
C12.55D8 = C24.7Q8φ: D8/D4 → C2 ⊆ Aut C12964C12.55D8192,52
C12.56D8 = Dic12.C4φ: D8/D4 → C2 ⊆ Aut C12964C12.56D8192,56
C12.57D8 = C12.57D8φ: D8/D4 → C2 ⊆ Aut C1296C12.57D8192,93
C12.58D8 = C24.41D4φ: D8/D4 → C2 ⊆ Aut C12964C12.58D8192,126
C12.59D8 = Q16.D6φ: D8/D4 → C2 ⊆ Aut C12964C12.59D8192,753
C12.60D8 = C3×C4.D8φ: D8/D4 → C2 ⊆ Aut C1296C12.60D8192,137
C12.61D8 = C3×C4.10D8φ: D8/D4 → C2 ⊆ Aut C12192C12.61D8192,138
C12.62D8 = C3×M5(2)⋊C2φ: D8/D4 → C2 ⊆ Aut C12484C12.62D8192,167
C12.63D8 = C3×C8.17D4φ: D8/D4 → C2 ⊆ Aut C12964C12.63D8192,168
C12.64D8 = C3×D4⋊Q8φ: D8/D4 → C2 ⊆ Aut C1296C12.64D8192,907
C12.65D8 = C3×C16⋊C22φ: D8/D4 → C2 ⊆ Aut C12484C12.65D8192,942
C12.66D8 = C3×Q32⋊C2φ: D8/D4 → C2 ⊆ Aut C12964C12.66D8192,943
C12.67D8 = C3×D4⋊C8central extension (φ=1)96C12.67D8192,131
C12.68D8 = C3×C8⋊1C8central extension (φ=1)192C12.68D8192,141
C12.69D8 = C3×D8.C4central extension (φ=1)962C12.69D8192,165
C12.70D8 = C3×C8.4Q8central extension (φ=1)962C12.70D8192,174
C12.71D8 = C3×C4○D16central extension (φ=1)962C12.71D8192,941

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