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Extensions 1→N→G→Q→1 with N=C60 and Q=D4

Direct product G=N×Q with N=C60 and Q=D4
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=C60 and Q=D4
extensionφ:Q→Aut NdρLabelID
C60⋊1D4 = C4⋊D60φ: D4/C2 → C22 ⊆ Aut C60240C60:1D4480,860
C60⋊2D4 = C60⋊2D4φ: D4/C2 → C22 ⊆ Aut C60240C60:2D4480,903
C60⋊3D4 = C60⋊3D4φ: D4/C2 → C22 ⊆ Aut C60240C60:3D4480,905
C60⋊4D4 = C60⋊4D4φ: D4/C2 → C22 ⊆ Aut C60240C60:4D4480,532
C60⋊5D4 = C12⋊D20φ: D4/C2 → C22 ⊆ Aut C60240C60:5D4480,534
C60⋊6D4 = C60⋊6D4φ: D4/C2 → C22 ⊆ Aut C60240C60:6D4480,536
C60⋊7D4 = C60⋊D4φ: D4/C2 → C22 ⊆ Aut C60240C60:7D4480,525
C60⋊8D4 = C12⋊7D20φ: D4/C2 → C22 ⊆ Aut C60240C60:8D4480,526
C60⋊9D4 = C20⋊D12φ: D4/C2 → C22 ⊆ Aut C60240C60:9D4480,527
C60⋊10D4 = C60⋊10D4φ: D4/C2 → C22 ⊆ Aut C60240C60:10D4480,539
C60⋊11D4 = C12⋊2D20φ: D4/C2 → C22 ⊆ Aut C60240C60:11D4480,541
C60⋊12D4 = C20⋊2D12φ: D4/C2 → C22 ⊆ Aut C60240C60:12D4480,542
C60⋊13D4 = C4×C15⋊D4φ: D4/C2 → C22 ⊆ Aut C60240C60:13D4480,515
C60⋊14D4 = C4×C3⋊D20φ: D4/C2 → C22 ⊆ Aut C60240C60:14D4480,519
C60⋊15D4 = C4×C5⋊D12φ: D4/C2 → C22 ⊆ Aut C60240C60:15D4480,521
C60⋊16D4 = C3×C4⋊D20φ: D4/C2 → C22 ⊆ Aut C60240C60:16D4480,688
C60⋊17D4 = C3×C20⋊2D4φ: D4/C2 → C22 ⊆ Aut C60240C60:17D4480,731
C60⋊18D4 = C3×C20⋊D4φ: D4/C2 → C22 ⊆ Aut C60240C60:18D4480,733
C60⋊19D4 = C5×C12⋊D4φ: D4/C2 → C22 ⊆ Aut C60240C60:19D4480,774
C60⋊20D4 = C5×D6⋊3D4φ: D4/C2 → C22 ⊆ Aut C60240C60:20D4480,817
C60⋊21D4 = C5×C12⋊3D4φ: D4/C2 → C22 ⊆ Aut C60240C60:21D4480,819
C60⋊22D4 = C42⋊6D15φ: D4/C4 → C2 ⊆ Aut C60240C60:22D4480,839
C60⋊23D4 = C4×D60φ: D4/C4 → C2 ⊆ Aut C60240C60:23D4480,838
C60⋊24D4 = C3×C20⋊4D4φ: D4/C4 → C2 ⊆ Aut C60240C60:24D4480,667
C60⋊25D4 = C5×C4⋊D12φ: D4/C4 → C2 ⊆ Aut C60240C60:25D4480,753
C60⋊26D4 = C12×D20φ: D4/C4 → C2 ⊆ Aut C60240C60:26D4480,666
C60⋊27D4 = C20×D12φ: D4/C4 → C2 ⊆ Aut C60240C60:27D4480,752
C60⋊28D4 = C15×C4⋊1D4φ: D4/C4 → C2 ⊆ Aut C60240C60:28D4480,932
C60⋊29D4 = C60⋊29D4φ: D4/C22 → C2 ⊆ Aut C60240C60:29D4480,895
C60⋊30D4 = C4×C15⋊7D4φ: D4/C22 → C2 ⊆ Aut C60240C60:30D4480,893
C60⋊31D4 = C3×C20⋊7D4φ: D4/C22 → C2 ⊆ Aut C60240C60:31D4480,723
C60⋊32D4 = C5×C12⋊7D4φ: D4/C22 → C2 ⊆ Aut C60240C60:32D4480,809
C60⋊33D4 = C12×C5⋊D4φ: D4/C22 → C2 ⊆ Aut C60240C60:33D4480,721
C60⋊34D4 = C20×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C60240C60:34D4480,807
C60⋊35D4 = C15×C4⋊D4φ: D4/C22 → C2 ⊆ Aut C60240C60:35D4480,926

Non-split extensions G=N.Q with N=C60 and Q=D4
extensionφ:Q→Aut NdρLabelID
C60.1D4 = D60⋊9C4φ: D4/C2 → C22 ⊆ Aut C60240C60.1D4480,169
C60.2D4 = Dic30⋊9C4φ: D4/C2 → C22 ⊆ Aut C60480C60.2D4480,170
C60.3D4 = C15⋊7D16φ: D4/C2 → C22 ⊆ Aut C602404+C60.3D4480,186
C60.4D4 = D8.D15φ: D4/C2 → C22 ⊆ Aut C602404-C60.4D4480,187
C60.5D4 = C8.6D30φ: D4/C2 → C22 ⊆ Aut C602404+C60.5D4480,188
C60.6D4 = C15⋊7Q32φ: D4/C2 → C22 ⊆ Aut C604804-C60.6D4480,189
C60.7D4 = D4⋊Dic15φ: D4/C2 → C22 ⊆ Aut C60240C60.7D4480,192
C60.8D4 = C60.8D4φ: D4/C2 → C22 ⊆ Aut C601204C60.8D4480,193
C60.9D4 = Q8⋊2Dic15φ: D4/C2 → C22 ⊆ Aut C60480C60.9D4480,195
C60.10D4 = C60.10D4φ: D4/C2 → C22 ⊆ Aut C602404C60.10D4480,196
C60.11D4 = D30⋊6Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.11D4480,862
C60.12D4 = C8⋊D30φ: D4/C2 → C22 ⊆ Aut C601204+C60.12D4480,873
C60.13D4 = C8.D30φ: D4/C2 → C22 ⊆ Aut C602404-C60.13D4480,874
C60.14D4 = C2×D4⋊D15φ: D4/C2 → C22 ⊆ Aut C60240C60.14D4480,896
C60.15D4 = D4.D30φ: D4/C2 → C22 ⊆ Aut C601204C60.15D4480,897
C60.16D4 = C2×D4.D15φ: D4/C2 → C22 ⊆ Aut C60240C60.16D4480,898
C60.17D4 = C60.17D4φ: D4/C2 → C22 ⊆ Aut C60240C60.17D4480,901
C60.18D4 = C2×Q8⋊2D15φ: D4/C2 → C22 ⊆ Aut C60240C60.18D4480,906
C60.19D4 = Q8.11D30φ: D4/C2 → C22 ⊆ Aut C602404C60.19D4480,907
C60.20D4 = C2×C15⋊7Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.20D4480,908
C60.21D4 = Dic15⋊4Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.21D4480,909
C60.22D4 = D30⋊7Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.22D4480,911
C60.23D4 = C60.23D4φ: D4/C2 → C22 ⊆ Aut C60240C60.23D4480,912
C60.24D4 = C3⋊D80φ: D4/C2 → C22 ⊆ Aut C602404+C60.24D4480,14
C60.25D4 = D40.S3φ: D4/C2 → C22 ⊆ Aut C602404-C60.25D4480,18
C60.26D4 = C24.D10φ: D4/C2 → C22 ⊆ Aut C602404+C60.26D4480,19
C60.27D4 = C3⋊Dic40φ: D4/C2 → C22 ⊆ Aut C604804-C60.27D4480,23
C60.28D4 = C60.28D4φ: D4/C2 → C22 ⊆ Aut C601204C60.28D4480,34
C60.29D4 = C60.29D4φ: D4/C2 → C22 ⊆ Aut C601204+C60.29D4480,36
C60.30D4 = C12.6D20φ: D4/C2 → C22 ⊆ Aut C602404C60.30D4480,37
C60.31D4 = C60.31D4φ: D4/C2 → C22 ⊆ Aut C602404-C60.31D4480,39
C60.32D4 = C6.D40φ: D4/C2 → C22 ⊆ Aut C60240C60.32D4480,41
C60.33D4 = D60⋊12C4φ: D4/C2 → C22 ⊆ Aut C60240C60.33D4480,44
C60.34D4 = C6.Dic20φ: D4/C2 → C22 ⊆ Aut C60480C60.34D4480,47
C60.35D4 = Dic30⋊12C4φ: D4/C2 → C22 ⊆ Aut C60480C60.35D4480,50
C60.36D4 = C60.36D4φ: D4/C2 → C22 ⊆ Aut C601204C60.36D4480,374
C60.37D4 = C2×C3⋊D40φ: D4/C2 → C22 ⊆ Aut C60240C60.37D4480,376
C60.38D4 = C60.38D4φ: D4/C2 → C22 ⊆ Aut C601204+C60.38D4480,381
C60.39D4 = D12.37D10φ: D4/C2 → C22 ⊆ Aut C602404C60.39D4480,385
C60.40D4 = C2×C6.D20φ: D4/C2 → C22 ⊆ Aut C60240C60.40D4480,386
C60.41D4 = C2×C15⋊SD16φ: D4/C2 → C22 ⊆ Aut C60240C60.41D4480,390
C60.42D4 = C2×C3⋊Dic20φ: D4/C2 → C22 ⊆ Aut C60480C60.42D4480,395
C60.43D4 = D12.33D10φ: D4/C2 → C22 ⊆ Aut C602404-C60.43D4480,398
C60.44D4 = C60.44D4φ: D4/C2 → C22 ⊆ Aut C60240C60.44D4480,440
C60.45D4 = C60.45D4φ: D4/C2 → C22 ⊆ Aut C60240C60.45D4480,441
C60.46D4 = C60.46D4φ: D4/C2 → C22 ⊆ Aut C60240C60.46D4480,445
C60.47D4 = C60.47D4φ: D4/C2 → C22 ⊆ Aut C60240C60.47D4480,450
C60.48D4 = C60.48D4φ: D4/C2 → C22 ⊆ Aut C60480C60.48D4480,465
C60.49D4 = C5⋊D48φ: D4/C2 → C22 ⊆ Aut C602404+C60.49D4480,15
C60.50D4 = D24.D5φ: D4/C2 → C22 ⊆ Aut C602404-C60.50D4480,20
C60.51D4 = Dic12⋊D5φ: D4/C2 → C22 ⊆ Aut C602404+C60.51D4480,21
C60.52D4 = C5⋊Dic24φ: D4/C2 → C22 ⊆ Aut C604804-C60.52D4480,24
C60.53D4 = C20.5D12φ: D4/C2 → C22 ⊆ Aut C601204C60.53D4480,35
C60.54D4 = C60.54D4φ: D4/C2 → C22 ⊆ Aut C602404C60.54D4480,38
C60.55D4 = C10.D24φ: D4/C2 → C22 ⊆ Aut C60240C60.55D4480,43
C60.56D4 = D60⋊15C4φ: D4/C2 → C22 ⊆ Aut C60240C60.56D4480,45
C60.57D4 = C10.Dic12φ: D4/C2 → C22 ⊆ Aut C60480C60.57D4480,49
C60.58D4 = Dic30⋊15C4φ: D4/C2 → C22 ⊆ Aut C60480C60.58D4480,51
C60.59D4 = D20⋊21D6φ: D4/C2 → C22 ⊆ Aut C601204C60.59D4480,375
C60.60D4 = D20⋊19D6φ: D4/C2 → C22 ⊆ Aut C601204+C60.60D4480,377
C60.61D4 = C2×C5⋊D24φ: D4/C2 → C22 ⊆ Aut C60240C60.61D4480,378
C60.62D4 = D20.37D6φ: D4/C2 → C22 ⊆ Aut C602404C60.62D4480,383
C60.63D4 = C60.63D4φ: D4/C2 → C22 ⊆ Aut C602404-C60.63D4480,389
C60.64D4 = C2×D12.D5φ: D4/C2 → C22 ⊆ Aut C60240C60.64D4480,392
C60.65D4 = C2×Dic6⋊D5φ: D4/C2 → C22 ⊆ Aut C60240C60.65D4480,393
C60.66D4 = C2×C5⋊Dic12φ: D4/C2 → C22 ⊆ Aut C60480C60.66D4480,396
C60.67D4 = C60.67D4φ: D4/C2 → C22 ⊆ Aut C60240C60.67D4480,435
C60.68D4 = C60.68D4φ: D4/C2 → C22 ⊆ Aut C60240C60.68D4480,436
C60.69D4 = C60.69D4φ: D4/C2 → C22 ⊆ Aut C60240C60.69D4480,449
C60.70D4 = C60.70D4φ: D4/C2 → C22 ⊆ Aut C60240C60.70D4480,451
C60.71D4 = Dic5⋊Dic6φ: D4/C2 → C22 ⊆ Aut C60480C60.71D4480,452
C60.72D4 = C15⋊D16φ: D4/C2 → C22 ⊆ Aut C602404C60.72D4480,13
C60.73D4 = C40.D6φ: D4/C2 → C22 ⊆ Aut C602404C60.73D4480,16
C60.74D4 = C15⋊SD32φ: D4/C2 → C22 ⊆ Aut C602404C60.74D4480,17
C60.75D4 = C15⋊Q32φ: D4/C2 → C22 ⊆ Aut C604804C60.75D4480,22
C60.76D4 = C30.D8φ: D4/C2 → C22 ⊆ Aut C60240C60.76D4480,40
C60.77D4 = D12⋊Dic5φ: D4/C2 → C22 ⊆ Aut C60240C60.77D4480,42
C60.78D4 = C30.Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.78D4480,46
C60.79D4 = Dic6⋊Dic5φ: D4/C2 → C22 ⊆ Aut C60480C60.79D4480,48
C60.80D4 = C2×C15⋊D8φ: D4/C2 → C22 ⊆ Aut C60240C60.80D4480,372
C60.81D4 = D60⋊36C22φ: D4/C2 → C22 ⊆ Aut C601204C60.81D4480,380
C60.82D4 = C2×C30.D4φ: D4/C2 → C22 ⊆ Aut C60240C60.82D4480,382
C60.83D4 = C2×C20.D6φ: D4/C2 → C22 ⊆ Aut C60240C60.83D4480,384
C60.84D4 = D60⋊30C22φ: D4/C2 → C22 ⊆ Aut C601204C60.84D4480,388
C60.85D4 = C12.D20φ: D4/C2 → C22 ⊆ Aut C602404C60.85D4480,391
C60.86D4 = C2×C15⋊Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.86D4480,394
C60.87D4 = C20.D12φ: D4/C2 → C22 ⊆ Aut C602404C60.87D4480,397
C60.88D4 = C60.88D4φ: D4/C2 → C22 ⊆ Aut C60240C60.88D4480,444
C60.89D4 = C60.89D4φ: D4/C2 → C22 ⊆ Aut C60240C60.89D4480,446
C60.90D4 = D30⋊9Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.90D4480,459
C60.91D4 = Dic15⋊8Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.91D4480,461
C60.92D4 = D30⋊10Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.92D4480,466
C60.93D4 = C60.93D4φ: D4/C2 → C22 ⊆ Aut C60240C60.93D4480,31
C60.94D4 = C60.94D4φ: D4/C2 → C22 ⊆ Aut C60240C60.94D4480,32
C60.95D4 = D30⋊4C8φ: D4/C2 → C22 ⊆ Aut C60240C60.95D4480,33
C60.96D4 = C60.96D4φ: D4/C2 → C22 ⊆ Aut C601204C60.96D4480,52
C60.97D4 = C60.97D4φ: D4/C2 → C22 ⊆ Aut C601204C60.97D4480,53
C60.98D4 = C60.98D4φ: D4/C2 → C22 ⊆ Aut C601204C60.98D4480,54
C60.99D4 = C60.99D4φ: D4/C2 → C22 ⊆ Aut C601204C60.99D4480,55
C60.100D4 = D60⋊13C4φ: D4/C2 → C22 ⊆ Aut C601204C60.100D4480,56
C60.101D4 = D60⋊16C4φ: D4/C2 → C22 ⊆ Aut C601204C60.101D4480,57
C60.102D4 = C60.13Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.102D4480,58
C60.103D4 = C60.14Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.103D4480,59
C60.104D4 = C60.15Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.104D4480,60
C60.105D4 = C60.105D4φ: D4/C2 → C22 ⊆ Aut C602404C60.105D4480,67
C60.106D4 = C60.D4φ: D4/C2 → C22 ⊆ Aut C602404C60.106D4480,68
C60.107D4 = C12.59D20φ: D4/C2 → C22 ⊆ Aut C602404C60.107D4480,69
C60.108D4 = D20.34D6φ: D4/C2 → C22 ⊆ Aut C602404C60.108D4480,373
C60.109D4 = C20.60D12φ: D4/C2 → C22 ⊆ Aut C602404C60.109D4480,379
C60.110D4 = D20.31D6φ: D4/C2 → C22 ⊆ Aut C602404C60.110D4480,387
C60.111D4 = C3×D20⋊6C4φ: D4/C2 → C22 ⊆ Aut C60240C60.111D4480,87
C60.112D4 = C3×C10.Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.112D4480,88
C60.113D4 = C3×C5⋊D16φ: D4/C2 → C22 ⊆ Aut C602404C60.113D4480,104
C60.114D4 = C3×D8.D5φ: D4/C2 → C22 ⊆ Aut C602404C60.114D4480,105
C60.115D4 = C3×C5⋊SD32φ: D4/C2 → C22 ⊆ Aut C602404C60.115D4480,106
C60.116D4 = C3×C5⋊Q32φ: D4/C2 → C22 ⊆ Aut C604804C60.116D4480,107
C60.117D4 = C3×D4⋊Dic5φ: D4/C2 → C22 ⊆ Aut C60240C60.117D4480,110
C60.118D4 = C3×C20.D4φ: D4/C2 → C22 ⊆ Aut C601204C60.118D4480,111
C60.119D4 = C3×Q8⋊Dic5φ: D4/C2 → C22 ⊆ Aut C60480C60.119D4480,113
C60.120D4 = C3×C20.10D4φ: D4/C2 → C22 ⊆ Aut C602404C60.120D4480,114
C60.121D4 = C3×D10⋊2Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.121D4480,690
C60.122D4 = C3×C8⋊D10φ: D4/C2 → C22 ⊆ Aut C601204C60.122D4480,701
C60.123D4 = C3×C8.D10φ: D4/C2 → C22 ⊆ Aut C602404C60.123D4480,702
C60.124D4 = C6×D4⋊D5φ: D4/C2 → C22 ⊆ Aut C60240C60.124D4480,724
C60.125D4 = C3×D4.D10φ: D4/C2 → C22 ⊆ Aut C601204C60.125D4480,725
C60.126D4 = C6×D4.D5φ: D4/C2 → C22 ⊆ Aut C60240C60.126D4480,726
C60.127D4 = C3×C20.17D4φ: D4/C2 → C22 ⊆ Aut C60240C60.127D4480,729
C60.128D4 = C6×Q8⋊D5φ: D4/C2 → C22 ⊆ Aut C60240C60.128D4480,734
C60.129D4 = C3×C20.C23φ: D4/C2 → C22 ⊆ Aut C602404C60.129D4480,735
C60.130D4 = C6×C5⋊Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.130D4480,736
C60.131D4 = C3×Dic5⋊Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.131D4480,737
C60.132D4 = C3×D10⋊3Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.132D4480,739
C60.133D4 = C3×C20.23D4φ: D4/C2 → C22 ⊆ Aut C60240C60.133D4480,740
C60.134D4 = C5×C6.D8φ: D4/C2 → C22 ⊆ Aut C60240C60.134D4480,128
C60.135D4 = C5×C6.SD16φ: D4/C2 → C22 ⊆ Aut C60480C60.135D4480,129
C60.136D4 = C5×C3⋊D16φ: D4/C2 → C22 ⊆ Aut C602404C60.136D4480,145
C60.137D4 = C5×D8.S3φ: D4/C2 → C22 ⊆ Aut C602404C60.137D4480,146
C60.138D4 = C5×C8.6D6φ: D4/C2 → C22 ⊆ Aut C602404C60.138D4480,147
C60.139D4 = C5×C3⋊Q32φ: D4/C2 → C22 ⊆ Aut C604804C60.139D4480,148
C60.140D4 = C5×D4⋊Dic3φ: D4/C2 → C22 ⊆ Aut C60240C60.140D4480,151
C60.141D4 = C5×C12.D4φ: D4/C2 → C22 ⊆ Aut C601204C60.141D4480,152
C60.142D4 = C5×Q8⋊2Dic3φ: D4/C2 → C22 ⊆ Aut C60480C60.142D4480,154
C60.143D4 = C5×C12.10D4φ: D4/C2 → C22 ⊆ Aut C602404C60.143D4480,155
C60.144D4 = C5×C4.D12φ: D4/C2 → C22 ⊆ Aut C60240C60.144D4480,776
C60.145D4 = C5×C8⋊D6φ: D4/C2 → C22 ⊆ Aut C601204C60.145D4480,787
C60.146D4 = C5×C8.D6φ: D4/C2 → C22 ⊆ Aut C602404C60.146D4480,788
C60.147D4 = C10×D4⋊S3φ: D4/C2 → C22 ⊆ Aut C60240C60.147D4480,810
C60.148D4 = C5×D12⋊6C22φ: D4/C2 → C22 ⊆ Aut C601204C60.148D4480,811
C60.149D4 = C10×D4.S3φ: D4/C2 → C22 ⊆ Aut C60240C60.149D4480,812
C60.150D4 = C5×C23.12D6φ: D4/C2 → C22 ⊆ Aut C60240C60.150D4480,815
C60.151D4 = C10×Q8⋊2S3φ: D4/C2 → C22 ⊆ Aut C60240C60.151D4480,820
C60.152D4 = C5×Q8.11D6φ: D4/C2 → C22 ⊆ Aut C602404C60.152D4480,821
C60.153D4 = C10×C3⋊Q16φ: D4/C2 → C22 ⊆ Aut C60480C60.153D4480,822
C60.154D4 = C5×Dic3⋊Q8φ: D4/C2 → C22 ⊆ Aut C60480C60.154D4480,823
C60.155D4 = C5×D6⋊3Q8φ: D4/C2 → C22 ⊆ Aut C60240C60.155D4480,825
C60.156D4 = C5×C12.23D4φ: D4/C2 → C22 ⊆ Aut C60240C60.156D4480,826
C60.157D4 = D240φ: D4/C4 → C2 ⊆ Aut C602402+C60.157D4480,159
C60.158D4 = C48⋊D5φ: D4/C4 → C2 ⊆ Aut C602402C60.158D4480,160
C60.159D4 = Dic120φ: D4/C4 → C2 ⊆ Aut C604802-C60.159D4480,161
C60.160D4 = C60⋊8Q8φ: D4/C4 → C2 ⊆ Aut C60480C60.160D4480,834
C60.161D4 = C42⋊7D15φ: D4/C4 → C2 ⊆ Aut C60240C60.161D4480,840
C60.162D4 = C2×C24⋊D5φ: D4/C4 → C2 ⊆ Aut C60240C60.162D4480,867
C60.163D4 = C2×D120φ: D4/C4 → C2 ⊆ Aut C60240C60.163D4480,868
C60.164D4 = C2×Dic60φ: D4/C4 → C2 ⊆ Aut C60480C60.164D4480,870
C60.165D4 = C60⋊5C8φ: D4/C4 → C2 ⊆ Aut C60480C60.165D4480,164
C60.166D4 = D60⋊7C4φ: D4/C4 → C2 ⊆ Aut C601202C60.166D4480,165
C60.167D4 = C4.18D60φ: D4/C4 → C2 ⊆ Aut C602402C60.167D4480,179
C60.168D4 = C40.69D6φ: D4/C4 → C2 ⊆ Aut C602402C60.168D4480,869
C60.169D4 = C3×D80φ: D4/C4 → C2 ⊆ Aut C602402C60.169D4480,77
C60.170D4 = C3×C16⋊D5φ: D4/C4 → C2 ⊆ Aut C602402C60.170D4480,78
C60.171D4 = C3×Dic40φ: D4/C4 → C2 ⊆ Aut C604802C60.171D4480,79
C60.172D4 = C3×C20⋊2Q8φ: D4/C4 → C2 ⊆ Aut C60480C60.172D4480,662
C60.173D4 = C3×C4.D20φ: D4/C4 → C2 ⊆ Aut C60240C60.173D4480,668
C60.174D4 = C6×C40⋊C2φ: D4/C4 → C2 ⊆ Aut C60240C60.174D4480,695
C60.175D4 = C6×D40φ: D4/C4 → C2 ⊆ Aut C60240C60.175D4480,696
C60.176D4 = C6×Dic20φ: D4/C4 → C2 ⊆ Aut C60480C60.176D4480,698
C60.177D4 = C5×D48φ: D4/C4 → C2 ⊆ Aut C602402C60.177D4480,118
C60.178D4 = C5×C48⋊C2φ: D4/C4 → C2 ⊆ Aut C602402C60.178D4480,119
C60.179D4 = C5×Dic24φ: D4/C4 → C2 ⊆ Aut C604802C60.179D4480,120
C60.180D4 = C5×C12⋊2Q8φ: D4/C4 → C2 ⊆ Aut C60480C60.180D4480,748
C60.181D4 = C5×C42⋊7S3φ: D4/C4 → C2 ⊆ Aut C60240C60.181D4480,754
C60.182D4 = C10×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C60240C60.182D4480,781
C60.183D4 = C10×D24φ: D4/C4 → C2 ⊆ Aut C60240C60.183D4480,782
C60.184D4 = C10×Dic12φ: D4/C4 → C2 ⊆ Aut C60480C60.184D4480,784
C60.185D4 = C3×C20⋊3C8φ: D4/C4 → C2 ⊆ Aut C60480C60.185D4480,82
C60.186D4 = C3×D20⋊4C4φ: D4/C4 → C2 ⊆ Aut C601202C60.186D4480,83
C60.187D4 = C3×C40.6C4φ: D4/C4 → C2 ⊆ Aut C602402C60.187D4480,97
C60.188D4 = C3×D40⋊7C2φ: D4/C4 → C2 ⊆ Aut C602402C60.188D4480,697
C60.189D4 = C5×C12⋊C8φ: D4/C4 → C2 ⊆ Aut C60480C60.189D4480,123
C60.190D4 = C5×C42⋊4S3φ: D4/C4 → C2 ⊆ Aut C601202C60.190D4480,124
C60.191D4 = C5×C24.C4φ: D4/C4 → C2 ⊆ Aut C602402C60.191D4480,138
C60.192D4 = C5×C4○D24φ: D4/C4 → C2 ⊆ Aut C602402C60.192D4480,783
C60.193D4 = C15×D16φ: D4/C4 → C2 ⊆ Aut C602402C60.193D4480,214
C60.194D4 = C15×SD32φ: D4/C4 → C2 ⊆ Aut C602402C60.194D4480,215
C60.195D4 = C15×Q32φ: D4/C4 → C2 ⊆ Aut C604802C60.195D4480,216
C60.196D4 = C15×C4.4D4φ: D4/C4 → C2 ⊆ Aut C60240C60.196D4480,929
C60.197D4 = C15×C4⋊Q8φ: D4/C4 → C2 ⊆ Aut C60480C60.197D4480,933
C60.198D4 = D8×C30φ: D4/C4 → C2 ⊆ Aut C60240C60.198D4480,937
C60.199D4 = SD16×C30φ: D4/C4 → C2 ⊆ Aut C60240C60.199D4480,938
C60.200D4 = Q16×C30φ: D4/C4 → C2 ⊆ Aut C60480C60.200D4480,939
C60.201D4 = Dic30⋊8C4φ: D4/C22 → C2 ⊆ Aut C60480C60.201D4480,176
C60.202D4 = D60⋊8C4φ: D4/C22 → C2 ⊆ Aut C60240C60.202D4480,181
C60.203D4 = M4(2)⋊D15φ: D4/C22 → C2 ⊆ Aut C601204+C60.203D4480,183
C60.204D4 = C4.D60φ: D4/C22 → C2 ⊆ Aut C602404-C60.204D4480,184
C60.205D4 = C60.205D4φ: D4/C22 → C2 ⊆ Aut C60240C60.205D4480,889
C60.206D4 = D4⋊D30φ: D4/C22 → C2 ⊆ Aut C601204+C60.206D4480,914
C60.207D4 = D4.9D30φ: D4/C22 → C2 ⊆ Aut C602404-C60.207D4480,916
C60.208D4 = C60.26Q8φ: D4/C22 → C2 ⊆ Aut C60480C60.208D4480,174
C60.209D4 = D30⋊3C8φ: D4/C22 → C2 ⊆ Aut C60240C60.209D4480,180
C60.210D4 = C60.210D4φ: D4/C22 → C2 ⊆ Aut C602404C60.210D4480,182
C60.211D4 = D60⋊10C4φ: D4/C22 → C2 ⊆ Aut C601204C60.211D4480,185
C60.212D4 = C60.212D4φ: D4/C22 → C2 ⊆ Aut C60240C60.212D4480,190
C60.213D4 = Q8⋊3Dic15φ: D4/C22 → C2 ⊆ Aut C601204C60.213D4480,197
C60.214D4 = D4.8D30φ: D4/C22 → C2 ⊆ Aut C602404C60.214D4480,915
C60.215D4 = C3×C20.44D4φ: D4/C22 → C2 ⊆ Aut C60480C60.215D4480,94
C60.216D4 = C3×D20⋊5C4φ: D4/C22 → C2 ⊆ Aut C60240C60.216D4480,99
C60.217D4 = C3×C20.46D4φ: D4/C22 → C2 ⊆ Aut C601204C60.217D4480,101
C60.218D4 = C3×C4.12D20φ: D4/C22 → C2 ⊆ Aut C602404C60.218D4480,102
C60.219D4 = C3×C20.48D4φ: D4/C22 → C2 ⊆ Aut C60240C60.219D4480,717
C60.220D4 = C3×D4⋊D10φ: D4/C22 → C2 ⊆ Aut C601204C60.220D4480,742
C60.221D4 = C3×D4.9D10φ: D4/C22 → C2 ⊆ Aut C602404C60.221D4480,744
C60.222D4 = C5×C2.Dic12φ: D4/C22 → C2 ⊆ Aut C60480C60.222D4480,135
C60.223D4 = C5×C2.D24φ: D4/C22 → C2 ⊆ Aut C60240C60.223D4480,140
C60.224D4 = C5×C12.46D4φ: D4/C22 → C2 ⊆ Aut C601204C60.224D4480,142
C60.225D4 = C5×C12.47D4φ: D4/C22 → C2 ⊆ Aut C602404C60.225D4480,143
C60.226D4 = C5×C12.48D4φ: D4/C22 → C2 ⊆ Aut C60240C60.226D4480,803
C60.227D4 = C5×D4⋊D6φ: D4/C22 → C2 ⊆ Aut C601204C60.227D4480,828
C60.228D4 = C5×Q8.14D6φ: D4/C22 → C2 ⊆ Aut C602404C60.228D4480,830
C60.229D4 = C3×C20.8Q8φ: D4/C22 → C2 ⊆ Aut C60480C60.229D4480,92
C60.230D4 = C3×D10⋊1C8φ: D4/C22 → C2 ⊆ Aut C60240C60.230D4480,98
C60.231D4 = C3×C20.53D4φ: D4/C22 → C2 ⊆ Aut C602404C60.231D4480,100
C60.232D4 = C3×D20⋊7C4φ: D4/C22 → C2 ⊆ Aut C601204C60.232D4480,103
C60.233D4 = C3×C20.55D4φ: D4/C22 → C2 ⊆ Aut C60240C60.233D4480,108
C60.234D4 = C3×D4⋊2Dic5φ: D4/C22 → C2 ⊆ Aut C601204C60.234D4480,115
C60.235D4 = C3×D4.8D10φ: D4/C22 → C2 ⊆ Aut C602404C60.235D4480,743
C60.236D4 = C5×Dic3⋊C8φ: D4/C22 → C2 ⊆ Aut C60480C60.236D4480,133
C60.237D4 = C5×D6⋊C8φ: D4/C22 → C2 ⊆ Aut C60240C60.237D4480,139
C60.238D4 = C5×C12.53D4φ: D4/C22 → C2 ⊆ Aut C602404C60.238D4480,141
C60.239D4 = C5×D12⋊C4φ: D4/C22 → C2 ⊆ Aut C601204C60.239D4480,144
C60.240D4 = C5×C12.55D4φ: D4/C22 → C2 ⊆ Aut C60240C60.240D4480,149
C60.241D4 = C5×Q8⋊3Dic3φ: D4/C22 → C2 ⊆ Aut C601204C60.241D4480,156
C60.242D4 = C5×Q8.13D6φ: D4/C22 → C2 ⊆ Aut C602404C60.242D4480,829
C60.243D4 = C15×C4.D4φ: D4/C22 → C2 ⊆ Aut C601204C60.243D4480,203
C60.244D4 = C15×C4.10D4φ: D4/C22 → C2 ⊆ Aut C602404C60.244D4480,204
C60.245D4 = C15×D4⋊C4φ: D4/C22 → C2 ⊆ Aut C60240C60.245D4480,205
C60.246D4 = C15×Q8⋊C4φ: D4/C22 → C2 ⊆ Aut C60480C60.246D4480,206
C60.247D4 = C15×C22⋊Q8φ: D4/C22 → C2 ⊆ Aut C60240C60.247D4480,927
C60.248D4 = C15×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C601204C60.248D4480,941
C60.249D4 = C15×C8.C22φ: D4/C22 → C2 ⊆ Aut C602404C60.249D4480,942
C60.250D4 = C15×C22⋊C8central extension (φ=1)240C60.250D4480,201
C60.251D4 = C15×C4≀C2central extension (φ=1)1202C60.251D4480,207
C60.252D4 = C15×C4⋊C8central extension (φ=1)480C60.252D4480,208
C60.253D4 = C15×C8.C4central extension (φ=1)2402C60.253D4480,211
C60.254D4 = C15×C4○D8central extension (φ=1)2402C60.254D4480,940

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