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Extensions 1→N→G→Q→1 with N=C62 and Q=D4

Direct product G=N×Q with N=C62 and Q=D4
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=C62 and Q=D4
extensionφ:Q→Aut NdρLabelID
C62⋊1D4 = D6≀C2φ: D4/C1 → D4 ⊆ Aut C62124+C6^2:1D4288,889
C62⋊2D4 = C62⋊D4φ: D4/C1 → D4 ⊆ Aut C62248+C6^2:2D4288,890
C62⋊3D4 = C22×S3≀C2φ: D4/C1 → D4 ⊆ Aut C6224C6^2:3D4288,1031
C62⋊4D4 = C62⋊4D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2:4D4288,624
C62⋊5D4 = C62⋊5D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2:5D4288,625
C62⋊6D4 = C62⋊6D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2:6D4288,626
C62⋊7D4 = C62⋊7D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2:7D4288,628
C62⋊8D4 = C62⋊8D4φ: D4/C2 → C22 ⊆ Aut C6224C6^2:8D4288,629
C62⋊9D4 = C3×D6⋊D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2:9D4288,653
C62⋊10D4 = C3×C23⋊2D6φ: D4/C2 → C22 ⊆ Aut C6248C6^2:10D4288,708
C62⋊11D4 = C3×C23.14D6φ: D4/C2 → C22 ⊆ Aut C6248C6^2:11D4288,710
C62⋊12D4 = C62⋊12D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2:12D4288,739
C62⋊13D4 = C62⋊13D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2:13D4288,794
C62⋊14D4 = C62⋊14D4φ: D4/C2 → C22 ⊆ Aut C62144C6^2:14D4288,796
C62⋊15D4 = C22×D6⋊S3φ: D4/C2 → C22 ⊆ Aut C6296C6^2:15D4288,973
C62⋊16D4 = C22×C3⋊D12φ: D4/C2 → C22 ⊆ Aut C6248C6^2:16D4288,974
C62⋊17D4 = C32×C4⋊D4φ: D4/C4 → C2 ⊆ Aut C62144C6^2:17D4288,818
C62⋊18D4 = C3×C12⋊7D4φ: D4/C4 → C2 ⊆ Aut C6248C6^2:18D4288,701
C62⋊19D4 = C62⋊19D4φ: D4/C4 → C2 ⊆ Aut C62144C6^2:19D4288,787
C62⋊20D4 = C2×C6×D12φ: D4/C4 → C2 ⊆ Aut C6296C6^2:20D4288,990
C62⋊21D4 = C22×C12⋊S3φ: D4/C4 → C2 ⊆ Aut C62144C6^2:21D4288,1005
C62⋊22D4 = C32×C22≀C2φ: D4/C22 → C2 ⊆ Aut C6272C6^2:22D4288,817
C62⋊23D4 = C3×C24⋊4S3φ: D4/C22 → C2 ⊆ Aut C6224C6^2:23D4288,724
C62⋊24D4 = C62⋊24D4φ: D4/C22 → C2 ⊆ Aut C6272C6^2:24D4288,810
C62⋊25D4 = C2×C6×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C6248C6^2:25D4288,1002
C62⋊26D4 = C22×C32⋊7D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2:26D4288,1017

Non-split extensions G=N.Q with N=C62 and Q=D4
extensionφ:Q→Aut NdρLabelID
C62.1D4 = C62.D4φ: D4/C1 → D4 ⊆ Aut C6248C6^2.1D4288,385
C62.2D4 = C62.2D4φ: D4/C1 → D4 ⊆ Aut C62244+C6^2.2D4288,386
C62.3D4 = C62.3D4φ: D4/C1 → D4 ⊆ Aut C6248C6^2.3D4288,387
C62.4D4 = C62.4D4φ: D4/C1 → D4 ⊆ Aut C6296C6^2.4D4288,388
C62.5D4 = Dic3≀C2φ: D4/C1 → D4 ⊆ Aut C62244-C6^2.5D4288,389
C62.6D4 = C62.6D4φ: D4/C1 → D4 ⊆ Aut C6296C6^2.6D4288,390
C62.7D4 = C62.7D4φ: D4/C1 → D4 ⊆ Aut C6296C6^2.7D4288,391
C62.8D4 = C2×S32⋊C4φ: D4/C1 → D4 ⊆ Aut C6224C6^2.8D4288,880
C62.9D4 = C62.9D4φ: D4/C1 → D4 ⊆ Aut C62244C6^2.9D4288,881
C62.10D4 = C2×C3⋊S3.Q8φ: D4/C1 → D4 ⊆ Aut C6248C6^2.10D4288,882
C62.11D4 = C2×C32⋊D8φ: D4/C1 → D4 ⊆ Aut C6248C6^2.11D4288,883
C62.12D4 = C62.12D4φ: D4/C1 → D4 ⊆ Aut C62244C6^2.12D4288,884
C62.13D4 = C62.13D4φ: D4/C1 → D4 ⊆ Aut C62488-C6^2.13D4288,885
C62.14D4 = C2×C32⋊2SD16φ: D4/C1 → D4 ⊆ Aut C6248C6^2.14D4288,886
C62.15D4 = C62.15D4φ: D4/C1 → D4 ⊆ Aut C62484-C6^2.15D4288,887
C62.16D4 = C2×C32⋊Q16φ: D4/C1 → D4 ⊆ Aut C6296C6^2.16D4288,888
C62.17D4 = D12⋊3Dic3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.17D4288,210
C62.18D4 = C6.16D24φ: D4/C2 → C22 ⊆ Aut C6296C6^2.18D4288,211
C62.19D4 = C6.17D24φ: D4/C2 → C22 ⊆ Aut C6248C6^2.19D4288,212
C62.20D4 = Dic6⋊Dic3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.20D4288,213
C62.21D4 = C6.Dic12φ: D4/C2 → C22 ⊆ Aut C6296C6^2.21D4288,214
C62.22D4 = C12.73D12φ: D4/C2 → C22 ⊆ Aut C6296C6^2.22D4288,215
C62.23D4 = D12⋊4Dic3φ: D4/C2 → C22 ⊆ Aut C62244C6^2.23D4288,216
C62.24D4 = D12⋊2Dic3φ: D4/C2 → C22 ⊆ Aut C62484C6^2.24D4288,217
C62.25D4 = C12.80D12φ: D4/C2 → C22 ⊆ Aut C62484C6^2.25D4288,218
C62.26D4 = C12.Dic6φ: D4/C2 → C22 ⊆ Aut C6296C6^2.26D4288,221
C62.27D4 = C12.6Dic6φ: D4/C2 → C22 ⊆ Aut C6296C6^2.27D4288,222
C62.28D4 = C6.18D24φ: D4/C2 → C22 ⊆ Aut C6296C6^2.28D4288,223
C62.29D4 = C12.8Dic6φ: D4/C2 → C22 ⊆ Aut C6296C6^2.29D4288,224
C62.30D4 = C62.6Q8φ: D4/C2 → C22 ⊆ Aut C6296C6^2.30D4288,227
C62.31D4 = C62.31D4φ: D4/C2 → C22 ⊆ Aut C62244C6^2.31D4288,228
C62.32D4 = C62.32D4φ: D4/C2 → C22 ⊆ Aut C62244C6^2.32D4288,229
C62.33D4 = C3×C23.6D6φ: D4/C2 → C22 ⊆ Aut C62244C6^2.33D4288,240
C62.34D4 = C3×D12⋊C4φ: D4/C2 → C22 ⊆ Aut C62484C6^2.34D4288,259
C62.35D4 = C3×C23.7D6φ: D4/C2 → C22 ⊆ Aut C62244C6^2.35D4288,268
C62.36D4 = C3×Q8⋊3Dic3φ: D4/C2 → C22 ⊆ Aut C62484C6^2.36D4288,271
C62.37D4 = C62.37D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2.37D4288,300
C62.38D4 = C62.38D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2.38D4288,309
C62.39D4 = C62.39D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2.39D4288,312
C62.40D4 = C2×C32⋊2D8φ: D4/C2 → C22 ⊆ Aut C6296C6^2.40D4288,469
C62.41D4 = D12.30D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.41D4288,470
C62.42D4 = D12⋊20D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.42D4288,471
C62.43D4 = C2×C3⋊D24φ: D4/C2 → C22 ⊆ Aut C6248C6^2.43D4288,472
C62.44D4 = D12⋊18D6φ: D4/C2 → C22 ⊆ Aut C62244+C6^2.44D4288,473
C62.45D4 = C2×Dic6⋊S3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.45D4288,474
C62.46D4 = D12.32D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.46D4288,475
C62.47D4 = C2×D12.S3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.47D4288,476
C62.48D4 = D12.27D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.48D4288,477
C62.49D4 = D12.28D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.49D4288,478
C62.50D4 = D12.29D6φ: D4/C2 → C22 ⊆ Aut C62484-C6^2.50D4288,479
C62.51D4 = C2×C32⋊5SD16φ: D4/C2 → C22 ⊆ Aut C6248C6^2.51D4288,480
C62.52D4 = Dic6.29D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.52D4288,481
C62.53D4 = C2×C32⋊2Q16φ: D4/C2 → C22 ⊆ Aut C6296C6^2.53D4288,482
C62.54D4 = C2×C32⋊3Q16φ: D4/C2 → C22 ⊆ Aut C6296C6^2.54D4288,483
C62.55D4 = C2×D6⋊Dic3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.55D4288,608
C62.56D4 = C62.56D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2.56D4288,609
C62.57D4 = C62.57D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2.57D4288,610
C62.58D4 = C2×C6.D12φ: D4/C2 → C22 ⊆ Aut C6248C6^2.58D4288,611
C62.59D4 = C2×Dic3⋊Dic3φ: D4/C2 → C22 ⊆ Aut C6296C6^2.59D4288,613
C62.60D4 = C62.60D4φ: D4/C2 → C22 ⊆ Aut C6248C6^2.60D4288,614
C62.61D4 = C2×C62.C22φ: D4/C2 → C22 ⊆ Aut C6296C6^2.61D4288,615
C62.62D4 = C3×C23.21D6φ: D4/C2 → C22 ⊆ Aut C6248C6^2.62D4288,657
C62.63D4 = C3×C8⋊D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.63D4288,679
C62.64D4 = C3×C8.D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.64D4288,680
C62.65D4 = C3×C23.23D6φ: D4/C2 → C22 ⊆ Aut C6248C6^2.65D4288,706
C62.66D4 = C3×D4⋊D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.66D4288,720
C62.67D4 = C3×Q8.13D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.67D4288,721
C62.68D4 = C3×Q8.14D6φ: D4/C2 → C22 ⊆ Aut C62484C6^2.68D4288,722
C62.69D4 = C62.69D4φ: D4/C2 → C22 ⊆ Aut C62144C6^2.69D4288,743
C62.70D4 = C24⋊3D6φ: D4/C2 → C22 ⊆ Aut C6272C6^2.70D4288,765
C62.71D4 = C24.5D6φ: D4/C2 → C22 ⊆ Aut C62144C6^2.71D4288,766
C62.72D4 = C62.72D4φ: D4/C2 → C22 ⊆ Aut C62144C6^2.72D4288,792
C62.73D4 = C62.73D4φ: D4/C2 → C22 ⊆ Aut C6272C6^2.73D4288,806
C62.74D4 = C62.74D4φ: D4/C2 → C22 ⊆ Aut C62144C6^2.74D4288,807
C62.75D4 = C62.75D4φ: D4/C2 → C22 ⊆ Aut C62144C6^2.75D4288,808
C62.76D4 = C32×C4○D8φ: D4/C4 → C2 ⊆ Aut C62144C6^2.76D4288,832
C62.77D4 = C3×C2.Dic12φ: D4/C4 → C2 ⊆ Aut C6296C6^2.77D4288,250
C62.78D4 = C3×C8⋊Dic3φ: D4/C4 → C2 ⊆ Aut C6296C6^2.78D4288,251
C62.79D4 = C3×C24⋊1C4φ: D4/C4 → C2 ⊆ Aut C6296C6^2.79D4288,252
C62.80D4 = C3×C2.D24φ: D4/C4 → C2 ⊆ Aut C6296C6^2.80D4288,255
C62.81D4 = C6.4Dic12φ: D4/C4 → C2 ⊆ Aut C62288C6^2.81D4288,291
C62.82D4 = C24⋊2Dic3φ: D4/C4 → C2 ⊆ Aut C62288C6^2.82D4288,292
C62.83D4 = C24⋊1Dic3φ: D4/C4 → C2 ⊆ Aut C62288C6^2.83D4288,293
C62.84D4 = C62.84D4φ: D4/C4 → C2 ⊆ Aut C62144C6^2.84D4288,296
C62.85D4 = C6×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C6296C6^2.85D4288,673
C62.86D4 = C6×D24φ: D4/C4 → C2 ⊆ Aut C6296C6^2.86D4288,674
C62.87D4 = C3×C4○D24φ: D4/C4 → C2 ⊆ Aut C62482C6^2.87D4288,675
C62.88D4 = C6×Dic12φ: D4/C4 → C2 ⊆ Aut C6296C6^2.88D4288,676
C62.89D4 = C6×C4⋊Dic3φ: D4/C4 → C2 ⊆ Aut C6296C6^2.89D4288,696
C62.90D4 = C2×C24⋊2S3φ: D4/C4 → C2 ⊆ Aut C62144C6^2.90D4288,759
C62.91D4 = C2×C32⋊5D8φ: D4/C4 → C2 ⊆ Aut C62144C6^2.91D4288,760
C62.92D4 = C24.78D6φ: D4/C4 → C2 ⊆ Aut C62144C6^2.92D4288,761
C62.93D4 = C2×C32⋊5Q16φ: D4/C4 → C2 ⊆ Aut C62288C6^2.93D4288,762
C62.94D4 = C2×C12⋊Dic3φ: D4/C4 → C2 ⊆ Aut C62288C6^2.94D4288,782
C62.95D4 = C2×C6.11D12φ: D4/C4 → C2 ⊆ Aut C62144C6^2.95D4288,784
C62.96D4 = C32×C23⋊C4φ: D4/C22 → C2 ⊆ Aut C6272C6^2.96D4288,317
C62.97D4 = C32×C4≀C2φ: D4/C22 → C2 ⊆ Aut C6272C6^2.97D4288,322
C62.98D4 = C32×C22.D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.98D4288,820
C62.99D4 = C32×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C6272C6^2.99D4288,833
C62.100D4 = C32×C8.C22φ: D4/C22 → C2 ⊆ Aut C62144C6^2.100D4288,834
C62.101D4 = C3×C42⋊4S3φ: D4/C22 → C2 ⊆ Aut C62242C6^2.101D4288,239
C62.102D4 = C3×C6.Q16φ: D4/C22 → C2 ⊆ Aut C6296C6^2.102D4288,241
C62.103D4 = C3×C12.Q8φ: D4/C22 → C2 ⊆ Aut C6296C6^2.103D4288,242
C62.104D4 = C3×C6.D8φ: D4/C22 → C2 ⊆ Aut C6296C6^2.104D4288,243
C62.105D4 = C3×C6.SD16φ: D4/C22 → C2 ⊆ Aut C6296C6^2.105D4288,244
C62.106D4 = C3×C6.C42φ: D4/C22 → C2 ⊆ Aut C6296C6^2.106D4288,265
C62.107D4 = C3×D4⋊Dic3φ: D4/C22 → C2 ⊆ Aut C6248C6^2.107D4288,266
C62.108D4 = C3×Q8⋊2Dic3φ: D4/C22 → C2 ⊆ Aut C6296C6^2.108D4288,269
C62.109D4 = C122⋊C2φ: D4/C22 → C2 ⊆ Aut C6272C6^2.109D4288,280
C62.110D4 = C62.110D4φ: D4/C22 → C2 ⊆ Aut C6272C6^2.110D4288,281
C62.111D4 = C12.9Dic6φ: D4/C22 → C2 ⊆ Aut C62288C6^2.111D4288,282
C62.112D4 = C12.10Dic6φ: D4/C22 → C2 ⊆ Aut C62288C6^2.112D4288,283
C62.113D4 = C62.113D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.113D4288,284
C62.114D4 = C62.114D4φ: D4/C22 → C2 ⊆ Aut C62288C6^2.114D4288,285
C62.115D4 = C62.15Q8φ: D4/C22 → C2 ⊆ Aut C62288C6^2.115D4288,306
C62.116D4 = C62.116D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.116D4288,307
C62.117D4 = C62.117D4φ: D4/C22 → C2 ⊆ Aut C62288C6^2.117D4288,310
C62.118D4 = C6×Dic3⋊C4φ: D4/C22 → C2 ⊆ Aut C6296C6^2.118D4288,694
C62.119D4 = C6×D6⋊C4φ: D4/C22 → C2 ⊆ Aut C6296C6^2.119D4288,698
C62.120D4 = C3×C23.28D6φ: D4/C22 → C2 ⊆ Aut C6248C6^2.120D4288,700
C62.121D4 = C6×D4⋊S3φ: D4/C22 → C2 ⊆ Aut C6248C6^2.121D4288,702
C62.122D4 = C3×D12⋊6C22φ: D4/C22 → C2 ⊆ Aut C62244C6^2.122D4288,703
C62.123D4 = C6×D4.S3φ: D4/C22 → C2 ⊆ Aut C6248C6^2.123D4288,704
C62.124D4 = C6×Q8⋊2S3φ: D4/C22 → C2 ⊆ Aut C6296C6^2.124D4288,712
C62.125D4 = C3×Q8.11D6φ: D4/C22 → C2 ⊆ Aut C62484C6^2.125D4288,713
C62.126D4 = C6×C3⋊Q16φ: D4/C22 → C2 ⊆ Aut C6296C6^2.126D4288,714
C62.127D4 = C6×C6.D4φ: D4/C22 → C2 ⊆ Aut C6248C6^2.127D4288,723
C62.128D4 = C2×C6.Dic6φ: D4/C22 → C2 ⊆ Aut C62288C6^2.128D4288,780
C62.129D4 = C62.129D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.129D4288,786
C62.130D4 = C2×C32⋊7D8φ: D4/C22 → C2 ⊆ Aut C62144C6^2.130D4288,788
C62.131D4 = C62.131D4φ: D4/C22 → C2 ⊆ Aut C6272C6^2.131D4288,789
C62.132D4 = C2×C32⋊9SD16φ: D4/C22 → C2 ⊆ Aut C62144C6^2.132D4288,790
C62.133D4 = C2×C32⋊11SD16φ: D4/C22 → C2 ⊆ Aut C62144C6^2.133D4288,798
C62.134D4 = C62.134D4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.134D4288,799
C62.135D4 = C2×C32⋊7Q16φ: D4/C22 → C2 ⊆ Aut C62288C6^2.135D4288,800
C62.136D4 = C2×C62⋊5C4φ: D4/C22 → C2 ⊆ Aut C62144C6^2.136D4288,809
C62.137D4 = C32×C2.C42central extension (φ=1)288C6^2.137D4288,313
C62.138D4 = C32×D4⋊C4central extension (φ=1)144C6^2.138D4288,320
C62.139D4 = C32×Q8⋊C4central extension (φ=1)288C6^2.139D4288,321
C62.140D4 = C32×C4.Q8central extension (φ=1)288C6^2.140D4288,324
C62.141D4 = C32×C2.D8central extension (φ=1)288C6^2.141D4288,325
C62.142D4 = C22⋊C4×C3×C6central extension (φ=1)144C6^2.142D4288,812
C62.143D4 = C4⋊C4×C3×C6central extension (φ=1)288C6^2.143D4288,813
C62.144D4 = D8×C3×C6central extension (φ=1)144C6^2.144D4288,829
C62.145D4 = SD16×C3×C6central extension (φ=1)144C6^2.145D4288,830
C62.146D4 = Q16×C3×C6central extension (φ=1)288C6^2.146D4288,831

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