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Extensions 1→N→G→Q→1 with N=C23 and Q=D8

Direct product G=N×Q with N=C23 and Q=D8
dρLabelID
C23×D864C2^3xD8128,2306

Semidirect products G=N:Q with N=C23 and Q=D8
extensionφ:Q→Aut NdρLabelID
C23⋊D8 = C23⋊D8φ: D8/C2 → D4 ⊆ Aut C2316C2^3:D8128,327
C23⋊2D8 = C23⋊2D8φ: D8/C4 → C22 ⊆ Aut C2364C2^3:2D8128,731
C23⋊3D8 = C23⋊3D8φ: D8/C4 → C22 ⊆ Aut C2332C2^3:3D8128,1918
C23⋊4D8 = C2×C8⋊7D4φ: D8/C8 → C2 ⊆ Aut C2364C2^3:4D8128,1780
C23⋊5D8 = C2×C22⋊D8φ: D8/D4 → C2 ⊆ Aut C2332C2^3:5D8128,1728

Non-split extensions G=N.Q with N=C23 and Q=D8
extensionφ:Q→Aut NdρLabelID
C23.1D8 = C23.D8φ: D8/C2 → D4 ⊆ Aut C23168+C2^3.1D8128,71
C23.2D8 = C23.2D8φ: D8/C2 → D4 ⊆ Aut C23328-C2^3.2D8128,72
C23.3D8 = C24.D4φ: D8/C2 → D4 ⊆ Aut C2316C2^3.3D8128,75
C23.4D8 = C23.4D8φ: D8/C2 → D4 ⊆ Aut C2332C2^3.4D8128,76
C23.5D8 = C23.5D8φ: D8/C2 → D4 ⊆ Aut C2332C2^3.5D8128,339
C23.6D8 = D8⋊D4φ: D8/C2 → D4 ⊆ Aut C23168+C2^3.6D8128,922
C23.7D8 = D8.D4φ: D8/C2 → D4 ⊆ Aut C23328-C2^3.7D8128,923
C23.8D8 = C23.8D8φ: D8/C4 → C22 ⊆ Aut C2332C2^3.8D8128,21
C23.9D8 = C23.9D8φ: D8/C4 → C22 ⊆ Aut C23324C2^3.9D8128,116
C23.10D8 = C24.60D4φ: D8/C4 → C22 ⊆ Aut C2332C2^3.10D8128,251
C23.11D8 = C24.83D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.11D8128,765
C23.12D8 = C23.12D8φ: D8/C4 → C22 ⊆ Aut C2364C2^3.12D8128,807
C23.13D8 = C23.13D8φ: D8/C4 → C22 ⊆ Aut C23324C2^3.13D8128,877
C23.14D8 = D8⋊8D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.14D8128,918
C23.15D8 = D8.10D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.15D8128,921
C23.16D8 = C16⋊D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.16D8128,950
C23.17D8 = C16.D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.17D8128,951
C23.18D8 = C16⋊2D4φ: D8/C4 → C22 ⊆ Aut C2364C2^3.18D8128,952
C23.19D8 = C23.19D8φ: D8/C4 → C22 ⊆ Aut C2364C2^3.19D8128,966
C23.20D8 = C23.20D8φ: D8/C4 → C22 ⊆ Aut C2364C2^3.20D8128,969
C23.21D8 = D16⋊C22φ: D8/C4 → C22 ⊆ Aut C23324C2^3.21D8128,2146
C23.22D8 = C23.22D8φ: D8/C8 → C2 ⊆ Aut C2364C2^3.22D8128,540
C23.23D8 = C23.23D8φ: D8/C8 → C2 ⊆ Aut C2364C2^3.23D8128,625
C23.24D8 = C23.24D8φ: D8/C8 → C2 ⊆ Aut C2364C2^3.24D8128,870
C23.25D8 = C23.25D8φ: D8/C8 → C2 ⊆ Aut C2364C2^3.25D8128,890
C23.26D8 = C16⋊7D4φ: D8/C8 → C2 ⊆ Aut C2364C2^3.26D8128,947
C23.27D8 = C16.19D4φ: D8/C8 → C2 ⊆ Aut C2364C2^3.27D8128,948
C23.28D8 = C16⋊8D4φ: D8/C8 → C2 ⊆ Aut C2364C2^3.28D8128,949
C23.29D8 = C2×C4○D16φ: D8/C8 → C2 ⊆ Aut C2364C2^3.29D8128,2143
C23.30D8 = C23.30D8φ: D8/D4 → C2 ⊆ Aut C2332C2^3.30D8128,26
C23.31D8 = C22.SD32φ: D8/D4 → C2 ⊆ Aut C2332C2^3.31D8128,79
C23.32D8 = C23.32D8φ: D8/D4 → C2 ⊆ Aut C2332C2^3.32D8128,80
C23.33D8 = C8.C42φ: D8/D4 → C2 ⊆ Aut C2332C2^3.33D8128,118
C23.34D8 = C2×C22.SD16φ: D8/D4 → C2 ⊆ Aut C2332C2^3.34D8128,230
C23.35D8 = C23.35D8φ: D8/D4 → C2 ⊆ Aut C2332C2^3.35D8128,518
C23.36D8 = C23.36D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.36D8128,555
C23.37D8 = C23.37D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.37D8128,584
C23.38D8 = C23.38D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.38D8128,606
C23.39D8 = C23.39D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.39D8128,871
C23.40D8 = C23.40D8φ: D8/D4 → C2 ⊆ Aut C2332C2^3.40D8128,872
C23.41D8 = C23.41D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.41D8128,873
C23.42D8 = C2×D8⋊2C4φ: D8/D4 → C2 ⊆ Aut C2332C2^3.42D8128,876
C23.43D8 = M5(2)⋊1C4φ: D8/D4 → C2 ⊆ Aut C2364C2^3.43D8128,891
C23.44D8 = D8⋊7D4φ: D8/D4 → C2 ⊆ Aut C2332C2^3.44D8128,916
C23.45D8 = Q16⋊7D4φ: D8/D4 → C2 ⊆ Aut C2364C2^3.45D8128,917
C23.46D8 = D8.9D4φ: D8/D4 → C2 ⊆ Aut C2332C2^3.46D8128,919
C23.47D8 = Q16.8D4φ: D8/D4 → C2 ⊆ Aut C2364C2^3.47D8128,920
C23.48D8 = C22.D16φ: D8/D4 → C2 ⊆ Aut C2364C2^3.48D8128,964
C23.49D8 = C23.49D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.49D8128,965
C23.50D8 = C23.50D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.50D8128,967
C23.51D8 = C23.51D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.51D8128,968
C23.52D8 = C2×C22.D8φ: D8/D4 → C2 ⊆ Aut C2364C2^3.52D8128,1817
C23.53D8 = C2×C16⋊C22φ: D8/D4 → C2 ⊆ Aut C2332C2^3.53D8128,2144
C23.54D8 = C2×Q32⋊C2φ: D8/D4 → C2 ⊆ Aut C2364C2^3.54D8128,2145
C23.55D8 = C8.7C42central extension (φ=1)128C2^3.55D8128,112
C23.56D8 = C2×C22.4Q16central extension (φ=1)128C2^3.56D8128,466
C23.57D8 = C2×C2.D16central extension (φ=1)64C2^3.57D8128,868
C23.58D8 = C2×C2.Q32central extension (φ=1)128C2^3.58D8128,869
C23.59D8 = C2×C16⋊3C4central extension (φ=1)128C2^3.59D8128,888
C23.60D8 = C2×C16⋊4C4central extension (φ=1)128C2^3.60D8128,889
C23.61D8 = C22×D4⋊C4central extension (φ=1)64C2^3.61D8128,1622
C23.62D8 = C22×C2.D8central extension (φ=1)128C2^3.62D8128,1640
C23.63D8 = C22×D16central extension (φ=1)64C2^3.63D8128,2140
C23.64D8 = C22×SD32central extension (φ=1)64C2^3.64D8128,2141
C23.65D8 = C22×Q32central extension (φ=1)128C2^3.65D8128,2142

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