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Extensions 1→N→G→Q→1 with N=C62 and Q=C23

Direct product G=N×Q with N=C62 and Q=C23
dρLabelID
C23×C62288C2^3xC6^2288,1045

Semidirect products G=N:Q with N=C62 and Q=C23
extensionφ:Q→Aut NdρLabelID
C62⋊C23 = S32×D4φ: C23/C1 → C23 ⊆ Aut C62248+C6^2:C2^3288,958
C62⋊2C23 = C2×S3×C3⋊D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2:2C2^3288,976
C62⋊3C23 = C2×Dic3⋊D6φ: C23/C2 → C22 ⊆ Aut C6224C6^2:3C2^3288,977
C62⋊4C23 = S3×C6×D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2:4C2^3288,992
C62⋊5C23 = C2×D4×C3⋊S3φ: C23/C2 → C22 ⊆ Aut C6272C6^2:5C2^3288,1007
C62⋊6C23 = S32×C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2:6C2^3288,1040
C62⋊7C23 = D4×C62φ: C23/C22 → C2 ⊆ Aut C62144C6^2:7C2^3288,1019
C62⋊8C23 = C2×C6×C3⋊D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2:8C2^3288,1002
C62⋊9C23 = C22×C32⋊7D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2:9C2^3288,1017
C62⋊10C23 = S3×C23×C6φ: C23/C22 → C2 ⊆ Aut C6296C6^2:10C2^3288,1043
C62⋊11C23 = C24×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2:11C2^3288,1044

Non-split extensions G=N.Q with N=C62 and Q=C23
extensionφ:Q→Aut NdρLabelID
C62.1C23 = Dic6.24D6φ: C23/C1 → C23 ⊆ Aut C62488-C6^2.1C2^3288,957
C62.2C23 = S3×D4⋊2S3φ: C23/C1 → C23 ⊆ Aut C62488-C6^2.2C2^3288,959
C62.3C23 = Dic6⋊12D6φ: C23/C1 → C23 ⊆ Aut C62248+C6^2.3C2^3288,960
C62.4C23 = D12⋊12D6φ: C23/C1 → C23 ⊆ Aut C62488-C6^2.4C2^3288,961
C62.5C23 = D12⋊13D6φ: C23/C1 → C23 ⊆ Aut C62248+C6^2.5C2^3288,962
C62.6C23 = C62.6C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.6C2^3288,484
C62.7C23 = Dic3⋊5Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.7C2^3288,485
C62.8C23 = C62.8C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.8C2^3288,486
C62.9C23 = C62.9C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.9C2^3288,487
C62.10C23 = C62.10C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.10C2^3288,488
C62.11C23 = C62.11C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.11C2^3288,489
C62.12C23 = Dic3×Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.12C2^3288,490
C62.13C23 = C62.13C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.13C2^3288,491
C62.14C23 = Dic3⋊6Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.14C2^3288,492
C62.15C23 = Dic3.Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.15C2^3288,493
C62.16C23 = C62.16C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.16C2^3288,494
C62.17C23 = C62.17C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.17C2^3288,495
C62.18C23 = C62.18C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.18C2^3288,496
C62.19C23 = C62.19C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.19C2^3288,497
C62.20C23 = C62.20C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.20C2^3288,498
C62.21C23 = D6⋊Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.21C2^3288,499
C62.22C23 = Dic3.D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.22C2^3288,500
C62.23C23 = C62.23C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.23C2^3288,501
C62.24C23 = C62.24C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.24C2^3288,502
C62.25C23 = C62.25C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.25C2^3288,503
C62.26C23 = D6⋊6Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.26C2^3288,504
C62.27C23 = D6⋊7Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.27C2^3288,505
C62.28C23 = C62.28C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.28C2^3288,506
C62.29C23 = C62.29C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.29C2^3288,507
C62.30C23 = C12.27D12φ: C23/C2 → C22 ⊆ Aut C6296C6^2.30C2^3288,508
C62.31C23 = C62.31C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.31C2^3288,509
C62.32C23 = C62.32C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.32C2^3288,510
C62.33C23 = C62.33C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.33C2^3288,511
C62.34C23 = C12.28D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.34C2^3288,512
C62.35C23 = C62.35C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.35C2^3288,513
C62.36C23 = Dic3⋊Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.36C2^3288,514
C62.37C23 = C62.37C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.37C2^3288,515
C62.38C23 = C62.38C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.38C2^3288,516
C62.39C23 = C62.39C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.39C2^3288,517
C62.40C23 = C62.40C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.40C2^3288,518
C62.41C23 = C12.30D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.41C2^3288,519
C62.42C23 = C62.42C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.42C2^3288,520
C62.43C23 = C62.43C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.43C2^3288,521
C62.44C23 = C62.44C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.44C2^3288,522
C62.45C23 = C4×S3×Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.45C2^3288,523
C62.46C23 = S3×Dic3⋊C4φ: C23/C2 → C22 ⊆ Aut C6296C6^2.46C2^3288,524
C62.47C23 = C62.47C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.47C2^3288,525
C62.48C23 = C62.48C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.48C2^3288,526
C62.49C23 = C62.49C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.49C2^3288,527
C62.50C23 = Dic3⋊4D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.50C2^3288,528
C62.51C23 = C62.51C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.51C2^3288,529
C62.52C23 = C4×C6.D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.52C2^3288,530
C62.53C23 = C62.53C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.53C2^3288,531
C62.54C23 = C62.54C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.54C2^3288,532
C62.55C23 = C62.55C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.55C2^3288,533
C62.56C23 = Dic3⋊D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.56C2^3288,534
C62.57C23 = D6⋊1Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.57C2^3288,535
C62.58C23 = C62.58C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.58C2^3288,536
C62.59C23 = S3×C4⋊Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.59C2^3288,537
C62.60C23 = D6.D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.60C2^3288,538
C62.61C23 = D6.9D12φ: C23/C2 → C22 ⊆ Aut C6296C6^2.61C2^3288,539
C62.62C23 = Dic3×D12φ: C23/C2 → C22 ⊆ Aut C6296C6^2.62C2^3288,540
C62.63C23 = D6⋊2Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.63C2^3288,541
C62.64C23 = Dic3⋊5D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.64C2^3288,542
C62.65C23 = C62.65C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.65C2^3288,543
C62.66C23 = D6⋊3Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.66C2^3288,544
C62.67C23 = C62.67C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.67C2^3288,545
C62.68C23 = D12⋊Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.68C2^3288,546
C62.69C23 = D6⋊4Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.69C2^3288,547
C62.70C23 = C62.70C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.70C2^3288,548
C62.71C23 = C4×D6⋊S3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.71C2^3288,549
C62.72C23 = C62.72C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.72C2^3288,550
C62.73C23 = C4×C3⋊D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.73C2^3288,551
C62.74C23 = C62.74C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.74C2^3288,552
C62.75C23 = C62.75C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.75C2^3288,553
C62.76C23 = D6⋊D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.76C2^3288,554
C62.77C23 = C62.77C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.77C2^3288,555
C62.78C23 = D6⋊2D12φ: C23/C2 → C22 ⊆ Aut C6296C6^2.78C2^3288,556
C62.79C23 = C12⋊7D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.79C2^3288,557
C62.80C23 = Dic3⋊3D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.80C2^3288,558
C62.81C23 = C12⋊D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.81C2^3288,559
C62.82C23 = C62.82C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.82C2^3288,560
C62.83C23 = C62.83C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.83C2^3288,561
C62.84C23 = C62.84C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.84C2^3288,562
C62.85C23 = C62.85C23φ: C23/C2 → C22 ⊆ Aut C6296C6^2.85C2^3288,563
C62.86C23 = C12⋊2D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.86C2^3288,564
C62.87C23 = C4×C32⋊2Q8φ: C23/C2 → C22 ⊆ Aut C6296C6^2.87C2^3288,565
C62.88C23 = C12⋊3Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.88C2^3288,566
C62.89C23 = C12⋊Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.89C2^3288,567
C62.90C23 = S3×D6⋊C4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.90C2^3288,568
C62.91C23 = C62.91C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.91C2^3288,569
C62.92C23 = D6⋊4D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.92C2^3288,570
C62.93C23 = D6⋊5D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.93C2^3288,571
C62.94C23 = C62.94C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.94C2^3288,600
C62.95C23 = C62.95C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.95C2^3288,601
C62.96C23 = C2×Dic32φ: C23/C2 → C22 ⊆ Aut C6296C6^2.96C2^3288,602
C62.97C23 = C62.97C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.97C2^3288,603
C62.98C23 = C62.98C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.98C2^3288,604
C62.99C23 = C62.99C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.99C2^3288,605
C62.100C23 = C62.100C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.100C2^3288,606
C62.101C23 = C62.101C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.101C2^3288,607
C62.102C23 = C2×D6⋊Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.102C2^3288,608
C62.103C23 = C62.56D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.103C2^3288,609
C62.104C23 = C62.57D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.104C2^3288,610
C62.105C23 = C2×C6.D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.105C2^3288,611
C62.106C23 = C62⋊3Q8φ: C23/C2 → C22 ⊆ Aut C6248C6^2.106C2^3288,612
C62.107C23 = C2×Dic3⋊Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.107C2^3288,613
C62.108C23 = C62.60D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.108C2^3288,614
C62.109C23 = C2×C62.C22φ: C23/C2 → C22 ⊆ Aut C6296C6^2.109C2^3288,615
C62.110C23 = S3×C6.D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.110C2^3288,616
C62.111C23 = C62.111C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.111C2^3288,617
C62.112C23 = C62.112C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.112C2^3288,618
C62.113C23 = C62.113C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.113C2^3288,619
C62.114C23 = Dic3×C3⋊D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.114C2^3288,620
C62.115C23 = C62.115C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.115C2^3288,621
C62.116C23 = C62.116C23φ: C23/C2 → C22 ⊆ Aut C6224C6^2.116C2^3288,622
C62.117C23 = C62.117C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.117C2^3288,623
C62.118C23 = C62⋊4D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.118C2^3288,624
C62.119C23 = C62⋊5D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.119C2^3288,625
C62.120C23 = C62⋊6D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.120C2^3288,626
C62.121C23 = C62.121C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.121C2^3288,627
C62.122C23 = C62⋊7D4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.122C2^3288,628
C62.123C23 = C62⋊8D4φ: C23/C2 → C22 ⊆ Aut C6224C6^2.123C2^3288,629
C62.124C23 = C62⋊4Q8φ: C23/C2 → C22 ⊆ Aut C6248C6^2.124C2^3288,630
C62.125C23 = C62.125C23φ: C23/C2 → C22 ⊆ Aut C6248C6^2.125C2^3288,631
C62.126C23 = C2×S3×Dic6φ: C23/C2 → C22 ⊆ Aut C6296C6^2.126C2^3288,942
C62.127C23 = C2×D12⋊5S3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.127C2^3288,943
C62.128C23 = C2×D12⋊S3φ: C23/C2 → C22 ⊆ Aut C6248C6^2.128C2^3288,944
C62.129C23 = D12.33D6φ: C23/C2 → C22 ⊆ Aut C62484C6^2.129C2^3288,945
C62.130C23 = D12.34D6φ: C23/C2 → C22 ⊆ Aut C62484-C6^2.130C2^3288,946
C62.131C23 = C2×Dic3.D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.131C2^3288,947
C62.132C23 = C2×D6.D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.132C2^3288,948
C62.133C23 = C2×D6.6D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.133C2^3288,949
C62.134C23 = S32×C2×C4φ: C23/C2 → C22 ⊆ Aut C6248C6^2.134C2^3288,950
C62.135C23 = C2×S3×D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.135C2^3288,951
C62.136C23 = C2×D6⋊D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.136C2^3288,952
C62.137C23 = S3×C4○D12φ: C23/C2 → C22 ⊆ Aut C62484C6^2.137C2^3288,953
C62.138C23 = D12⋊23D6φ: C23/C2 → C22 ⊆ Aut C62244C6^2.138C2^3288,954
C62.139C23 = D12⋊24D6φ: C23/C2 → C22 ⊆ Aut C62484C6^2.139C2^3288,955
C62.140C23 = D12⋊27D6φ: C23/C2 → C22 ⊆ Aut C62244+C6^2.140C2^3288,956
C62.141C23 = C22×S3×Dic3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.141C2^3288,969
C62.142C23 = C2×D6.3D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.142C2^3288,970
C62.143C23 = C2×D6.4D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.143C2^3288,971
C62.144C23 = C22×C6.D6φ: C23/C2 → C22 ⊆ Aut C6248C6^2.144C2^3288,972
C62.145C23 = C22×D6⋊S3φ: C23/C2 → C22 ⊆ Aut C6296C6^2.145C2^3288,973
C62.146C23 = C22×C3⋊D12φ: C23/C2 → C22 ⊆ Aut C6248C6^2.146C2^3288,974
C62.147C23 = C22×C32⋊2Q8φ: C23/C2 → C22 ⊆ Aut C6296C6^2.147C2^3288,975
C62.148C23 = C32⋊2+ 1+4φ: C23/C2 → C22 ⊆ Aut C62244C6^2.148C2^3288,978
C62.149C23 = C3×D4⋊6D6φ: C23/C2 → C22 ⊆ Aut C62244C6^2.149C2^3288,994
C62.150C23 = C3×S3×C4○D4φ: C23/C2 → C22 ⊆ Aut C62484C6^2.150C2^3288,998
C62.151C23 = C3×D4○D12φ: C23/C2 → C22 ⊆ Aut C62484C6^2.151C2^3288,999
C62.152C23 = C3×Q8○D12φ: C23/C2 → C22 ⊆ Aut C62484C6^2.152C2^3288,1000
C62.153C23 = C4○D4×C3⋊S3φ: C23/C2 → C22 ⊆ Aut C6272C6^2.153C2^3288,1013
C62.154C23 = C62.154C23φ: C23/C2 → C22 ⊆ Aut C6272C6^2.154C2^3288,1014
C62.155C23 = C32⋊92- 1+4φ: C23/C2 → C22 ⊆ Aut C62144C6^2.155C2^3288,1015
C62.156C23 = C4○D4×C3×C6φ: C23/C22 → C2 ⊆ Aut C62144C6^2.156C2^3288,1021
C62.157C23 = C32×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C6272C6^2.157C2^3288,1022
C62.158C23 = C32×2- 1+4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.158C2^3288,1023
C62.159C23 = C12×Dic6φ: C23/C22 → C2 ⊆ Aut C6296C6^2.159C2^3288,639
C62.160C23 = C3×C12⋊2Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.160C2^3288,640
C62.161C23 = C3×C12.6Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.161C2^3288,641
C62.162C23 = S3×C4×C12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.162C2^3288,642
C62.163C23 = C3×C42⋊2S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.163C2^3288,643
C62.164C23 = C12×D12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.164C2^3288,644
C62.165C23 = C3×C4⋊D12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.165C2^3288,645
C62.166C23 = C3×C42⋊7S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.166C2^3288,646
C62.167C23 = C3×C42⋊3S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.167C2^3288,647
C62.168C23 = C3×C23.16D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.168C2^3288,648
C62.169C23 = C3×Dic3.D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.169C2^3288,649
C62.170C23 = C3×C23.8D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.170C2^3288,650
C62.171C23 = C3×S3×C22⋊C4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.171C2^3288,651
C62.172C23 = C3×Dic3⋊4D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.172C2^3288,652
C62.173C23 = C3×D6⋊D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.173C2^3288,653
C62.174C23 = C3×C23.9D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.174C2^3288,654
C62.175C23 = C3×Dic3⋊D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.175C2^3288,655
C62.176C23 = C3×C23.11D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.176C2^3288,656
C62.177C23 = C3×C23.21D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.177C2^3288,657
C62.178C23 = C3×Dic6⋊C4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.178C2^3288,658
C62.179C23 = C3×C12⋊Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.179C2^3288,659
C62.180C23 = C3×Dic3.Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.180C2^3288,660
C62.181C23 = C3×C4.Dic6φ: C23/C22 → C2 ⊆ Aut C6296C6^2.181C2^3288,661
C62.182C23 = C3×S3×C4⋊C4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.182C2^3288,662
C62.183C23 = C3×C4⋊C4⋊7S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.183C2^3288,663
C62.184C23 = C3×Dic3⋊5D4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.184C2^3288,664
C62.185C23 = C3×D6.D4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.185C2^3288,665
C62.186C23 = C3×C12⋊D4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.186C2^3288,666
C62.187C23 = C3×D6⋊Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.187C2^3288,667
C62.188C23 = C3×C4.D12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.188C2^3288,668
C62.189C23 = C3×C4⋊C4⋊S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.189C2^3288,669
C62.190C23 = Dic3×C2×C12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.190C2^3288,693
C62.191C23 = C6×Dic3⋊C4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.191C2^3288,694
C62.192C23 = C3×C12.48D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.192C2^3288,695
C62.193C23 = C6×C4⋊Dic3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.193C2^3288,696
C62.194C23 = C3×C23.26D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.194C2^3288,697
C62.195C23 = C6×D6⋊C4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.195C2^3288,698
C62.196C23 = C12×C3⋊D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.196C2^3288,699
C62.197C23 = C3×C23.28D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.197C2^3288,700
C62.198C23 = C3×C12⋊7D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.198C2^3288,701
C62.199C23 = C3×D4×Dic3φ: C23/C22 → C2 ⊆ Aut C6248C6^2.199C2^3288,705
C62.200C23 = C3×C23.23D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.200C2^3288,706
C62.201C23 = C3×C23.12D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.201C2^3288,707
C62.202C23 = C3×C23⋊2D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.202C2^3288,708
C62.203C23 = C3×D6⋊3D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.203C2^3288,709
C62.204C23 = C3×C23.14D6φ: C23/C22 → C2 ⊆ Aut C6248C6^2.204C2^3288,710
C62.205C23 = C3×C12⋊3D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.205C2^3288,711
C62.206C23 = C3×Dic3⋊Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.206C2^3288,715
C62.207C23 = C3×Q8×Dic3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.207C2^3288,716
C62.208C23 = C3×D6⋊3Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.208C2^3288,717
C62.209C23 = C3×C12.23D4φ: C23/C22 → C2 ⊆ Aut C6296C6^2.209C2^3288,718
C62.210C23 = C6×C6.D4φ: C23/C22 → C2 ⊆ Aut C6248C6^2.210C2^3288,723
C62.211C23 = C3×C24⋊4S3φ: C23/C22 → C2 ⊆ Aut C6224C6^2.211C2^3288,724
C62.212C23 = C4×C32⋊4Q8φ: C23/C22 → C2 ⊆ Aut C62288C6^2.212C2^3288,725
C62.213C23 = C12⋊6Dic6φ: C23/C22 → C2 ⊆ Aut C62288C6^2.213C2^3288,726
C62.214C23 = C12.25Dic6φ: C23/C22 → C2 ⊆ Aut C62288C6^2.214C2^3288,727
C62.215C23 = C42×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.215C2^3288,728
C62.216C23 = C122⋊16C2φ: C23/C22 → C2 ⊆ Aut C62144C6^2.216C2^3288,729
C62.217C23 = C4×C12⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.217C2^3288,730
C62.218C23 = C12⋊4D12φ: C23/C22 → C2 ⊆ Aut C62144C6^2.218C2^3288,731
C62.219C23 = C122⋊6C2φ: C23/C22 → C2 ⊆ Aut C62144C6^2.219C2^3288,732
C62.220C23 = C122⋊2C2φ: C23/C22 → C2 ⊆ Aut C62144C6^2.220C2^3288,733
C62.221C23 = C62.221C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.221C2^3288,734
C62.222C23 = C62⋊6Q8φ: C23/C22 → C2 ⊆ Aut C62144C6^2.222C2^3288,735
C62.223C23 = C62.223C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.223C2^3288,736
C62.224C23 = C22⋊C4×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C6272C6^2.224C2^3288,737
C62.225C23 = C62.225C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.225C2^3288,738
C62.226C23 = C62⋊12D4φ: C23/C22 → C2 ⊆ Aut C6272C6^2.226C2^3288,739
C62.227C23 = C62.227C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.227C2^3288,740
C62.228C23 = C62.228C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.228C2^3288,741
C62.229C23 = C62.229C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.229C2^3288,742
C62.230C23 = C62.69D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.230C2^3288,743
C62.231C23 = C62.231C23φ: C23/C22 → C2 ⊆ Aut C62288C6^2.231C2^3288,744
C62.232C23 = C12⋊2Dic6φ: C23/C22 → C2 ⊆ Aut C62288C6^2.232C2^3288,745
C62.233C23 = C62.233C23φ: C23/C22 → C2 ⊆ Aut C62288C6^2.233C2^3288,746
C62.234C23 = C62.234C23φ: C23/C22 → C2 ⊆ Aut C62288C6^2.234C2^3288,747
C62.235C23 = C4⋊C4×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.235C2^3288,748
C62.236C23 = C62.236C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.236C2^3288,749
C62.237C23 = C62.237C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.237C2^3288,750
C62.238C23 = C62.238C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.238C2^3288,751
C62.239C23 = C12⋊3D12φ: C23/C22 → C2 ⊆ Aut C62144C6^2.239C2^3288,752
C62.240C23 = C62.240C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.240C2^3288,753
C62.241C23 = C12.31D12φ: C23/C22 → C2 ⊆ Aut C62144C6^2.241C2^3288,754
C62.242C23 = C62.242C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.242C2^3288,755
C62.243C23 = C2×C4×C3⋊Dic3φ: C23/C22 → C2 ⊆ Aut C62288C6^2.243C2^3288,779
C62.244C23 = C2×C6.Dic6φ: C23/C22 → C2 ⊆ Aut C62288C6^2.244C2^3288,780
C62.245C23 = C62⋊10Q8φ: C23/C22 → C2 ⊆ Aut C62144C6^2.245C2^3288,781
C62.246C23 = C2×C12⋊Dic3φ: C23/C22 → C2 ⊆ Aut C62288C6^2.246C2^3288,782
C62.247C23 = C62.247C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.247C2^3288,783
C62.248C23 = C2×C6.11D12φ: C23/C22 → C2 ⊆ Aut C62144C6^2.248C2^3288,784
C62.249C23 = C4×C32⋊7D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.249C2^3288,785
C62.250C23 = C62.129D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.250C2^3288,786
C62.251C23 = C62⋊19D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.251C2^3288,787
C62.252C23 = D4×C3⋊Dic3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.252C2^3288,791
C62.253C23 = C62.72D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.253C2^3288,792
C62.254C23 = C62.254C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.254C2^3288,793
C62.255C23 = C62⋊13D4φ: C23/C22 → C2 ⊆ Aut C6272C6^2.255C2^3288,794
C62.256C23 = C62.256C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.256C2^3288,795
C62.257C23 = C62⋊14D4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.257C2^3288,796
C62.258C23 = C62.258C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.258C2^3288,797
C62.259C23 = C62.259C23φ: C23/C22 → C2 ⊆ Aut C62288C6^2.259C2^3288,801
C62.260C23 = Q8×C3⋊Dic3φ: C23/C22 → C2 ⊆ Aut C62288C6^2.260C2^3288,802
C62.261C23 = C62.261C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.261C2^3288,803
C62.262C23 = C62.262C23φ: C23/C22 → C2 ⊆ Aut C62144C6^2.262C2^3288,804
C62.263C23 = C2×C62⋊5C4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.263C2^3288,809
C62.264C23 = C62⋊24D4φ: C23/C22 → C2 ⊆ Aut C6272C6^2.264C2^3288,810
C62.265C23 = C2×C6×Dic6φ: C23/C22 → C2 ⊆ Aut C6296C6^2.265C2^3288,988
C62.266C23 = S3×C22×C12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.266C2^3288,989
C62.267C23 = C2×C6×D12φ: C23/C22 → C2 ⊆ Aut C6296C6^2.267C2^3288,990
C62.268C23 = C6×C4○D12φ: C23/C22 → C2 ⊆ Aut C6248C6^2.268C2^3288,991
C62.269C23 = C6×D4⋊2S3φ: C23/C22 → C2 ⊆ Aut C6248C6^2.269C2^3288,993
C62.270C23 = S3×C6×Q8φ: C23/C22 → C2 ⊆ Aut C6296C6^2.270C2^3288,995
C62.271C23 = C6×Q8⋊3S3φ: C23/C22 → C2 ⊆ Aut C6296C6^2.271C2^3288,996
C62.272C23 = C3×Q8.15D6φ: C23/C22 → C2 ⊆ Aut C62484C6^2.272C2^3288,997
C62.273C23 = Dic3×C22×C6φ: C23/C22 → C2 ⊆ Aut C6296C6^2.273C2^3288,1001
C62.274C23 = C22×C32⋊4Q8φ: C23/C22 → C2 ⊆ Aut C62288C6^2.274C2^3288,1003
C62.275C23 = C22×C4×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.275C2^3288,1004
C62.276C23 = C22×C12⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.276C2^3288,1005
C62.277C23 = C2×C12.59D6φ: C23/C22 → C2 ⊆ Aut C62144C6^2.277C2^3288,1006
C62.278C23 = C2×C12.D6φ: C23/C22 → C2 ⊆ Aut C62144C6^2.278C2^3288,1008
C62.279C23 = C32⋊82+ 1+4φ: C23/C22 → C2 ⊆ Aut C6272C6^2.279C2^3288,1009
C62.280C23 = C2×Q8×C3⋊S3φ: C23/C22 → C2 ⊆ Aut C62144C6^2.280C2^3288,1010
C62.281C23 = C2×C12.26D6φ: C23/C22 → C2 ⊆ Aut C62144C6^2.281C2^3288,1011
C62.282C23 = C32⋊72- 1+4φ: C23/C22 → C2 ⊆ Aut C62144C6^2.282C2^3288,1012
C62.283C23 = C23×C3⋊Dic3φ: C23/C22 → C2 ⊆ Aut C62288C6^2.283C2^3288,1016
C62.284C23 = C22⋊C4×C3×C6central extension (φ=1)144C6^2.284C2^3288,812
C62.285C23 = C4⋊C4×C3×C6central extension (φ=1)288C6^2.285C2^3288,813
C62.286C23 = C32×C42⋊C2central extension (φ=1)144C6^2.286C2^3288,814
C62.287C23 = D4×C3×C12central extension (φ=1)144C6^2.287C2^3288,815
C62.288C23 = Q8×C3×C12central extension (φ=1)288C6^2.288C2^3288,816
C62.289C23 = C32×C22≀C2central extension (φ=1)72C6^2.289C2^3288,817
C62.290C23 = C32×C4⋊D4central extension (φ=1)144C6^2.290C2^3288,818
C62.291C23 = C32×C22⋊Q8central extension (φ=1)144C6^2.291C2^3288,819
C62.292C23 = C32×C22.D4central extension (φ=1)144C6^2.292C2^3288,820
C62.293C23 = C32×C4.4D4central extension (φ=1)144C6^2.293C2^3288,821
C62.294C23 = C32×C42.C2central extension (φ=1)288C6^2.294C2^3288,822
C62.295C23 = C32×C42⋊2C2central extension (φ=1)144C6^2.295C2^3288,823
C62.296C23 = C32×C4⋊1D4central extension (φ=1)144C6^2.296C2^3288,824
C62.297C23 = C32×C4⋊Q8central extension (φ=1)288C6^2.297C2^3288,825
C62.298C23 = Q8×C62central extension (φ=1)288C6^2.298C2^3288,1020

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