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Extensions 1→N→G→Q→1 with N=C40 and Q=D4

Direct product G=N×Q with N=C40 and Q=D4
dρLabelID
D4×C40160D4xC40320,935

Semidirect products G=N:Q with N=C40 and Q=D4
extensionφ:Q→Aut NdρLabelID
C40⋊1D4 = C8⋊D20φ: D4/C2 → C22 ⊆ Aut C40160C40:1D4320,339
C40⋊2D4 = C40⋊2D4φ: D4/C2 → C22 ⊆ Aut C40160C40:2D4320,761
C40⋊3D4 = C40⋊3D4φ: D4/C2 → C22 ⊆ Aut C40160C40:3D4320,762
C40⋊4D4 = C8⋊7D20φ: D4/C2 → C22 ⊆ Aut C40160C40:4D4320,510
C40⋊5D4 = C40⋊5D4φ: D4/C2 → C22 ⊆ Aut C40160C40:5D4320,778
C40⋊6D4 = C40⋊6D4φ: D4/C2 → C22 ⊆ Aut C40160C40:6D4320,784
C40⋊7D4 = C8⋊2D20φ: D4/C2 → C22 ⊆ Aut C40160C40:7D4320,492
C40⋊8D4 = C40⋊8D4φ: D4/C2 → C22 ⊆ Aut C40160C40:8D4320,801
C40⋊9D4 = C40⋊9D4φ: D4/C2 → C22 ⊆ Aut C40160C40:9D4320,803
C40⋊10D4 = C8⋊3D20φ: D4/C2 → C22 ⊆ Aut C40160C40:10D4320,513
C40⋊11D4 = C40⋊11D4φ: D4/C2 → C22 ⊆ Aut C40160C40:11D4320,781
C40⋊12D4 = C40⋊12D4φ: D4/C2 → C22 ⊆ Aut C40160C40:12D4320,786
C40⋊13D4 = C8⋊8D20φ: D4/C2 → C22 ⊆ Aut C40160C40:13D4320,491
C40⋊14D4 = C40⋊14D4φ: D4/C2 → C22 ⊆ Aut C40160C40:14D4320,798
C40⋊15D4 = C40⋊15D4φ: D4/C2 → C22 ⊆ Aut C40160C40:15D4320,802
C40⋊16D4 = C8⋊9D20φ: D4/C2 → C22 ⊆ Aut C40160C40:16D4320,333
C40⋊17D4 = C40⋊D4φ: D4/C2 → C22 ⊆ Aut C40160C40:17D4320,754
C40⋊18D4 = C40⋊18D4φ: D4/C2 → C22 ⊆ Aut C40160C40:18D4320,755
C40⋊19D4 = C5×C8⋊D4φ: D4/C2 → C22 ⊆ Aut C40160C40:19D4320,969
C40⋊20D4 = C5×C8⋊2D4φ: D4/C2 → C22 ⊆ Aut C40160C40:20D4320,970
C40⋊21D4 = C5×C8⋊3D4φ: D4/C2 → C22 ⊆ Aut C40160C40:21D4320,997
C40⋊22D4 = C20⋊4D8φ: D4/C4 → C2 ⊆ Aut C40160C40:22D4320,322
C40⋊23D4 = C8⋊5D20φ: D4/C4 → C2 ⊆ Aut C40160C40:23D4320,320
C40⋊24D4 = C8×D20φ: D4/C4 → C2 ⊆ Aut C40160C40:24D4320,313
C40⋊25D4 = C8⋊6D20φ: D4/C4 → C2 ⊆ Aut C40160C40:25D4320,315
C40⋊26D4 = C5×C8⋊4D4φ: D4/C4 → C2 ⊆ Aut C40160C40:26D4320,994
C40⋊27D4 = C5×C8⋊5D4φ: D4/C4 → C2 ⊆ Aut C40160C40:27D4320,993
C40⋊28D4 = C5×C8⋊6D4φ: D4/C4 → C2 ⊆ Aut C40160C40:28D4320,937
C40⋊29D4 = C40⋊29D4φ: D4/C22 → C2 ⊆ Aut C40160C40:29D4320,742
C40⋊30D4 = C40⋊30D4φ: D4/C22 → C2 ⊆ Aut C40160C40:30D4320,741
C40⋊31D4 = C8×C5⋊D4φ: D4/C22 → C2 ⊆ Aut C40160C40:31D4320,736
C40⋊32D4 = C40⋊32D4φ: D4/C22 → C2 ⊆ Aut C40160C40:32D4320,738
C40⋊33D4 = C5×C8⋊7D4φ: D4/C22 → C2 ⊆ Aut C40160C40:33D4320,967
C40⋊34D4 = C5×C8⋊8D4φ: D4/C22 → C2 ⊆ Aut C40160C40:34D4320,966
C40⋊35D4 = C5×C8⋊9D4φ: D4/C22 → C2 ⊆ Aut C40160C40:35D4320,936

Non-split extensions G=N.Q with N=C40 and Q=D4
extensionφ:Q→Aut NdρLabelID
C40.1D4 = C8.D20φ: D4/C2 → C22 ⊆ Aut C40160C40.1D4320,342
C40.2D4 = D80⋊C2φ: D4/C2 → C22 ⊆ Aut C40804+C40.2D4320,535
C40.3D4 = C16.D10φ: D4/C2 → C22 ⊆ Aut C401604-C40.3D4320,536
C40.4D4 = C40.4D4φ: D4/C2 → C22 ⊆ Aut C40160C40.4D4320,764
C40.5D4 = C40.5D4φ: D4/C2 → C22 ⊆ Aut C40160C40.5D4320,49
C40.6D4 = C10.Q32φ: D4/C2 → C22 ⊆ Aut C40320C40.6D4320,50
C40.7D4 = D40.6C4φ: D4/C2 → C22 ⊆ Aut C40804+C40.7D4320,53
C40.8D4 = C40.8D4φ: D4/C2 → C22 ⊆ Aut C401604-C40.8D4320,54
C40.9D4 = C5⋊D32φ: D4/C2 → C22 ⊆ Aut C401604+C40.9D4320,77
C40.10D4 = D16.D5φ: D4/C2 → C22 ⊆ Aut C401604-C40.10D4320,78
C40.11D4 = C5⋊SD64φ: D4/C2 → C22 ⊆ Aut C401604+C40.11D4320,79
C40.12D4 = C5⋊Q64φ: D4/C2 → C22 ⊆ Aut C403204-C40.12D4320,80
C40.13D4 = C10.D16φ: D4/C2 → C22 ⊆ Aut C40160C40.13D4320,120
C40.14D4 = D8.Dic5φ: D4/C2 → C22 ⊆ Aut C40804C40.14D4320,121
C40.15D4 = C40.15D4φ: D4/C2 → C22 ⊆ Aut C40320C40.15D4320,122
C40.16D4 = Q16.Dic5φ: D4/C2 → C22 ⊆ Aut C401604C40.16D4320,123
C40.17D4 = D10⋊2Q16φ: D4/C2 → C22 ⊆ Aut C40160C40.17D4320,514
C40.18D4 = C8.20D20φ: D4/C2 → C22 ⊆ Aut C401604-C40.18D4320,523
C40.19D4 = C8.21D20φ: D4/C2 → C22 ⊆ Aut C40804+C40.19D4320,524
C40.20D4 = C2×C5⋊D16φ: D4/C2 → C22 ⊆ Aut C40160C40.20D4320,773
C40.21D4 = C2×D8.D5φ: D4/C2 → C22 ⊆ Aut C40160C40.21D4320,775
C40.22D4 = C40.22D4φ: D4/C2 → C22 ⊆ Aut C40160C40.22D4320,782
C40.23D4 = C40.23D4φ: D4/C2 → C22 ⊆ Aut C40804C40.23D4320,787
C40.24D4 = C2×C5⋊SD32φ: D4/C2 → C22 ⊆ Aut C40160C40.24D4320,805
C40.25D4 = C2×C5⋊Q32φ: D4/C2 → C22 ⊆ Aut C40320C40.25D4320,807
C40.26D4 = C40.26D4φ: D4/C2 → C22 ⊆ Aut C40320C40.26D4320,808
C40.27D4 = D10⋊3Q16φ: D4/C2 → C22 ⊆ Aut C40160C40.27D4320,815
C40.28D4 = C40.28D4φ: D4/C2 → C22 ⊆ Aut C40160C40.28D4320,818
C40.29D4 = C40.29D4φ: D4/C2 → C22 ⊆ Aut C401604C40.29D4320,819
C40.30D4 = C8.2D20φ: D4/C2 → C22 ⊆ Aut C40160C40.30D4320,495
C40.31D4 = C40.31D4φ: D4/C2 → C22 ⊆ Aut C40160C40.31D4320,794
C40.32D4 = D8⋊D10φ: D4/C2 → C22 ⊆ Aut C40804+C40.32D4320,820
C40.33D4 = C40.31C23φ: D4/C2 → C22 ⊆ Aut C401604-C40.33D4320,822
C40.34D4 = D8.D10φ: D4/C2 → C22 ⊆ Aut C40804C40.34D4320,774
C40.35D4 = Q16.D10φ: D4/C2 → C22 ⊆ Aut C401604C40.35D4320,806
C40.36D4 = C40.36D4φ: D4/C2 → C22 ⊆ Aut C40160C40.36D4320,816
C40.37D4 = C40.37D4φ: D4/C2 → C22 ⊆ Aut C40160C40.37D4320,817
C40.38D4 = D40⋊14C4φ: D4/C2 → C22 ⊆ Aut C40804C40.38D4320,46
C40.39D4 = D40.5C4φ: D4/C2 → C22 ⊆ Aut C401604C40.39D4320,55
C40.40D4 = D8⋊2Dic5φ: D4/C2 → C22 ⊆ Aut C40804C40.40D4320,124
C40.41D4 = C20.58D8φ: D4/C2 → C22 ⊆ Aut C401604C40.41D4320,125
C40.42D4 = C8.24D20φ: D4/C2 → C22 ⊆ Aut C40804C40.42D4320,525
C40.43D4 = C40.43D4φ: D4/C2 → C22 ⊆ Aut C40160C40.43D4320,795
C40.44D4 = C40.44D4φ: D4/C2 → C22 ⊆ Aut C40804C40.44D4320,804
C40.45D4 = C40.30C23φ: D4/C2 → C22 ⊆ Aut C401604C40.45D4320,821
C40.46D4 = C8.25D20φ: D4/C2 → C22 ⊆ Aut C40804C40.46D4320,72
C40.47D4 = D20.4C8φ: D4/C2 → C22 ⊆ Aut C401604C40.47D4320,73
C40.48D4 = C40.D4φ: D4/C2 → C22 ⊆ Aut C40804C40.48D4320,111
C40.49D4 = D40⋊10C4φ: D4/C2 → C22 ⊆ Aut C40804C40.49D4320,344
C40.50D4 = C40.50D4φ: D4/C2 → C22 ⊆ Aut C40804C40.50D4320,772
C40.51D4 = C5×C8.D4φ: D4/C2 → C22 ⊆ Aut C40160C40.51D4320,971
C40.52D4 = C5×C8.2D4φ: D4/C2 → C22 ⊆ Aut C40160C40.52D4320,998
C40.53D4 = C5×C16⋊C22φ: D4/C2 → C22 ⊆ Aut C40804C40.53D4320,1010
C40.54D4 = C5×Q32⋊C2φ: D4/C2 → C22 ⊆ Aut C401604C40.54D4320,1011
C40.55D4 = D160φ: D4/C4 → C2 ⊆ Aut C401602+C40.55D4320,6
C40.56D4 = C160⋊C2φ: D4/C4 → C2 ⊆ Aut C401602C40.56D4320,7
C40.57D4 = Dic80φ: D4/C4 → C2 ⊆ Aut C403202-C40.57D4320,8
C40.58D4 = C8.8D20φ: D4/C4 → C2 ⊆ Aut C40160C40.58D4320,323
C40.59D4 = C20⋊4Q16φ: D4/C4 → C2 ⊆ Aut C40320C40.59D4320,326
C40.60D4 = C2×D80φ: D4/C4 → C2 ⊆ Aut C40160C40.60D4320,529
C40.61D4 = C2×C16⋊D5φ: D4/C4 → C2 ⊆ Aut C40160C40.61D4320,530
C40.62D4 = C2×Dic40φ: D4/C4 → C2 ⊆ Aut C40320C40.62D4320,532
C40.63D4 = D80⋊7C2φ: D4/C4 → C2 ⊆ Aut C401602C40.63D4320,531
C40.64D4 = C20⋊3C16φ: D4/C4 → C2 ⊆ Aut C40320C40.64D4320,20
C40.65D4 = C40.7C8φ: D4/C4 → C2 ⊆ Aut C40802C40.65D4320,21
C40.66D4 = D20.3C8φ: D4/C4 → C2 ⊆ Aut C401602C40.66D4320,66
C40.67D4 = D40⋊17C4φ: D4/C4 → C2 ⊆ Aut C40802C40.67D4320,327
C40.68D4 = C5×D32φ: D4/C4 → C2 ⊆ Aut C401602C40.68D4320,176
C40.69D4 = C5×SD64φ: D4/C4 → C2 ⊆ Aut C401602C40.69D4320,177
C40.70D4 = C5×Q64φ: D4/C4 → C2 ⊆ Aut C403202C40.70D4320,178
C40.71D4 = C5×C4⋊Q16φ: D4/C4 → C2 ⊆ Aut C40320C40.71D4320,995
C40.72D4 = C10×D16φ: D4/C4 → C2 ⊆ Aut C40160C40.72D4320,1006
C40.73D4 = C10×SD32φ: D4/C4 → C2 ⊆ Aut C40160C40.73D4320,1007
C40.74D4 = C10×Q32φ: D4/C4 → C2 ⊆ Aut C40320C40.74D4320,1008
C40.75D4 = C5×C8.12D4φ: D4/C4 → C2 ⊆ Aut C40160C40.75D4320,996
C40.76D4 = C5×C4○D16φ: D4/C4 → C2 ⊆ Aut C401602C40.76D4320,1009
C40.77D4 = C5×C8○D8φ: D4/C4 → C2 ⊆ Aut C40802C40.77D4320,944
C40.78D4 = C40.78D4φ: D4/C22 → C2 ⊆ Aut C40320C40.78D4320,61
C40.79D4 = D40⋊7C4φ: D4/C22 → C2 ⊆ Aut C40160C40.79D4320,67
C40.80D4 = D40.4C4φ: D4/C22 → C2 ⊆ Aut C40804+C40.80D4320,74
C40.81D4 = C20.4D8φ: D4/C22 → C2 ⊆ Aut C401604-C40.81D4320,75
C40.82D4 = C40.82D4φ: D4/C22 → C2 ⊆ Aut C40160C40.82D4320,743
C40.83D4 = D4.4D20φ: D4/C22 → C2 ⊆ Aut C40804+C40.83D4320,769
C40.84D4 = D4.5D20φ: D4/C22 → C2 ⊆ Aut C401604-C40.84D4320,770
C40.85D4 = D40.3C4φ: D4/C22 → C2 ⊆ Aut C401602C40.85D4320,68
C40.86D4 = D40⋊8C4φ: D4/C22 → C2 ⊆ Aut C40804C40.86D4320,76
C40.87D4 = D4.3D20φ: D4/C22 → C2 ⊆ Aut C40804C40.87D4320,768
C40.88D4 = C40.88D4φ: D4/C22 → C2 ⊆ Aut C40320C40.88D4320,59
C40.89D4 = D10⋊1C16φ: D4/C22 → C2 ⊆ Aut C40160C40.89D4320,65
C40.90D4 = C40.9Q8φ: D4/C22 → C2 ⊆ Aut C40804C40.90D4320,69
C40.91D4 = C40.91D4φ: D4/C22 → C2 ⊆ Aut C40160C40.91D4320,107
C40.92D4 = C40.92D4φ: D4/C22 → C2 ⊆ Aut C401604C40.92D4320,119
C40.93D4 = C40.93D4φ: D4/C22 → C2 ⊆ Aut C40804C40.93D4320,771
C40.94D4 = C5×C2.D16φ: D4/C22 → C2 ⊆ Aut C40160C40.94D4320,162
C40.95D4 = C5×C2.Q32φ: D4/C22 → C2 ⊆ Aut C40320C40.95D4320,163
C40.96D4 = C5×M5(2)⋊C2φ: D4/C22 → C2 ⊆ Aut C40804C40.96D4320,166
C40.97D4 = C5×C8.17D4φ: D4/C22 → C2 ⊆ Aut C401604C40.97D4320,167
C40.98D4 = C5×C8.18D4φ: D4/C22 → C2 ⊆ Aut C40160C40.98D4320,968
C40.99D4 = C5×D4.4D4φ: D4/C22 → C2 ⊆ Aut C40804C40.99D4320,973
C40.100D4 = C5×D4.5D4φ: D4/C22 → C2 ⊆ Aut C401604C40.100D4320,974
C40.101D4 = C5×D8.C4φ: D4/C22 → C2 ⊆ Aut C401602C40.101D4320,164
C40.102D4 = C5×D8⋊2C4φ: D4/C22 → C2 ⊆ Aut C40804C40.102D4320,165
C40.103D4 = C5×D4.3D4φ: D4/C22 → C2 ⊆ Aut C40804C40.103D4320,972
C40.104D4 = C5×C23.C8φ: D4/C22 → C2 ⊆ Aut C40804C40.104D4320,154
C40.105D4 = C5×C8.26D4φ: D4/C22 → C2 ⊆ Aut C40804C40.105D4320,945
C40.106D4 = C5×C22⋊C16central extension (φ=1)160C40.106D4320,153
C40.107D4 = C5×D4.C8central extension (φ=1)1602C40.107D4320,155
C40.108D4 = C5×C4⋊C16central extension (φ=1)320C40.108D4320,168
C40.109D4 = C5×C8.C8central extension (φ=1)802C40.109D4320,169

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