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Extensions 1→N→G→Q→1 with N=C2×Dic3 and Q=D6

Direct product G=N×Q with N=C2×Dic3 and Q=D6
dρLabelID
C22×S3×Dic396C2^2xS3xDic3288,969

Semidirect products G=N:Q with N=C2×Dic3 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×Dic3)⋊1D6 = D6⋊4D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):1D6288,570
(C2×Dic3)⋊2D6 = D6⋊5D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):2D6288,571
(C2×Dic3)⋊3D6 = C62⋊4D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):3D6288,624
(C2×Dic3)⋊4D6 = C62⋊5D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):4D6288,625
(C2×Dic3)⋊5D6 = C62⋊8D4φ: D6/C3 → C22 ⊆ Out C2×Dic324(C2xDic3):5D6288,629
(C2×Dic3)⋊6D6 = C62.125C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):6D6288,631
(C2×Dic3)⋊7D6 = D12⋊13D6φ: D6/C3 → C22 ⊆ Out C2×Dic3248+(C2xDic3):7D6288,962
(C2×Dic3)⋊8D6 = C32⋊2+ 1+4φ: D6/C3 → C22 ⊆ Out C2×Dic3244(C2xDic3):8D6288,978
(C2×Dic3)⋊9D6 = S3×D6⋊C4φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3):9D6288,568
(C2×Dic3)⋊10D6 = C62.91C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3):10D6288,569
(C2×Dic3)⋊11D6 = S3×C6.D4φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3):11D6288,616
(C2×Dic3)⋊12D6 = C62.116C23φ: D6/S3 → C2 ⊆ Out C2×Dic324(C2xDic3):12D6288,622
(C2×Dic3)⋊13D6 = S3×D4⋊2S3φ: D6/S3 → C2 ⊆ Out C2×Dic3488-(C2xDic3):13D6288,959
(C2×Dic3)⋊14D6 = Dic6⋊12D6φ: D6/S3 → C2 ⊆ Out C2×Dic3248+(C2xDic3):14D6288,960
(C2×Dic3)⋊15D6 = C2×S3×C3⋊D4φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3):15D6288,976
(C2×Dic3)⋊16D6 = C2×Dic3⋊D6φ: D6/S3 → C2 ⊆ Out C2×Dic324(C2xDic3):16D6288,977
(C2×Dic3)⋊17D6 = C2×D6⋊Dic3φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3):17D6288,608
(C2×Dic3)⋊18D6 = C2×C6.D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):18D6288,611
(C2×Dic3)⋊19D6 = C2×S3×D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):19D6288,951
(C2×Dic3)⋊20D6 = S3×C4○D12φ: D6/C6 → C2 ⊆ Out C2×Dic3484(C2xDic3):20D6288,953
(C2×Dic3)⋊21D6 = C2×D6.3D6φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):21D6288,970
(C2×Dic3)⋊22D6 = C22×C3⋊D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):22D6288,974
(C2×Dic3)⋊23D6 = S32×C2×C4φ: trivial image48(C2xDic3):23D6288,950
(C2×Dic3)⋊24D6 = C22×C6.D6φ: trivial image48(C2xDic3):24D6288,972

Non-split extensions G=N.Q with N=C2×Dic3 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×Dic3).1D6 = C62.9C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).1D6288,487
(C2×Dic3).2D6 = C62.10C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).2D6288,488
(C2×Dic3).3D6 = Dic3.Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).3D6288,493
(C2×Dic3).4D6 = C62.16C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).4D6288,494
(C2×Dic3).5D6 = C62.17C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).5D6288,495
(C2×Dic3).6D6 = C62.18C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).6D6288,496
(C2×Dic3).7D6 = C62.20C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).7D6288,498
(C2×Dic3).8D6 = D6⋊Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).8D6288,499
(C2×Dic3).9D6 = C62.23C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).9D6288,501
(C2×Dic3).10D6 = D6⋊6Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).10D6288,504
(C2×Dic3).11D6 = C62.32C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).11D6288,510
(C2×Dic3).12D6 = C62.33C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).12D6288,511
(C2×Dic3).13D6 = C62.35C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).13D6288,513
(C2×Dic3).14D6 = Dic3⋊Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).14D6288,514
(C2×Dic3).15D6 = C62.37C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).15D6288,515
(C2×Dic3).16D6 = C62.38C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).16D6288,516
(C2×Dic3).17D6 = C62.39C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).17D6288,517
(C2×Dic3).18D6 = C62.40C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).18D6288,518
(C2×Dic3).19D6 = C12.30D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).19D6288,519
(C2×Dic3).20D6 = C62.42C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).20D6288,520
(C2×Dic3).21D6 = C62.43C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).21D6288,521
(C2×Dic3).22D6 = Dic3⋊D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).22D6288,534
(C2×Dic3).23D6 = C62.58C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).23D6288,536
(C2×Dic3).24D6 = D6.D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).24D6288,538
(C2×Dic3).25D6 = D6⋊2Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).25D6288,541
(C2×Dic3).26D6 = C62.65C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).26D6288,543
(C2×Dic3).27D6 = D6⋊3Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).27D6288,544
(C2×Dic3).28D6 = C62.67C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).28D6288,545
(C2×Dic3).29D6 = D6⋊4Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).29D6288,547
(C2×Dic3).30D6 = D6⋊D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).30D6288,554
(C2×Dic3).31D6 = C62.77C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).31D6288,555
(C2×Dic3).32D6 = C12⋊7D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).32D6288,557
(C2×Dic3).33D6 = C62.82C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).33D6288,560
(C2×Dic3).34D6 = C62.85C23φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).34D6288,563
(C2×Dic3).35D6 = C12⋊2D12φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).35D6288,564
(C2×Dic3).36D6 = C12⋊3Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).36D6288,566
(C2×Dic3).37D6 = C12⋊Dic6φ: D6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).37D6288,567
(C2×Dic3).38D6 = C62.98C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).38D6288,604
(C2×Dic3).39D6 = C62.100C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).39D6288,606
(C2×Dic3).40D6 = C62.56D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).40D6288,609
(C2×Dic3).41D6 = C62.57D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).41D6288,610
(C2×Dic3).42D6 = C62⋊3Q8φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).42D6288,612
(C2×Dic3).43D6 = C62.60D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).43D6288,614
(C2×Dic3).44D6 = C62.111C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).44D6288,617
(C2×Dic3).45D6 = C62.113C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).45D6288,619
(C2×Dic3).46D6 = C62.117C23φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).46D6288,623
(C2×Dic3).47D6 = C62⋊7D4φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).47D6288,628
(C2×Dic3).48D6 = C62⋊4Q8φ: D6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).48D6288,630
(C2×Dic3).49D6 = D12.33D6φ: D6/C3 → C22 ⊆ Out C2×Dic3484(C2xDic3).49D6288,945
(C2×Dic3).50D6 = Dic6.24D6φ: D6/C3 → C22 ⊆ Out C2×Dic3488-(C2xDic3).50D6288,957
(C2×Dic3).51D6 = Dic3⋊5Dic6φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).51D6288,485
(C2×Dic3).52D6 = C62.8C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).52D6288,486
(C2×Dic3).53D6 = C62.11C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).53D6288,489
(C2×Dic3).54D6 = Dic3×Dic6φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).54D6288,490
(C2×Dic3).55D6 = C62.13C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).55D6288,491
(C2×Dic3).56D6 = C62.19C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).56D6288,497
(C2×Dic3).57D6 = C62.24C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).57D6288,502
(C2×Dic3).58D6 = C62.28C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).58D6288,506
(C2×Dic3).59D6 = C62.31C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).59D6288,509
(C2×Dic3).60D6 = S3×Dic3⋊C4φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).60D6288,524
(C2×Dic3).61D6 = C62.47C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).61D6288,525
(C2×Dic3).62D6 = C62.48C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).62D6288,526
(C2×Dic3).63D6 = C62.49C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).63D6288,527
(C2×Dic3).64D6 = C62.51C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).64D6288,529
(C2×Dic3).65D6 = C62.53C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).65D6288,531
(C2×Dic3).66D6 = C62.54C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).66D6288,532
(C2×Dic3).67D6 = C62.55C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).67D6288,533
(C2×Dic3).68D6 = D6⋊1Dic6φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).68D6288,535
(C2×Dic3).69D6 = S3×C4⋊Dic3φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).69D6288,537
(C2×Dic3).70D6 = D6.9D12φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).70D6288,539
(C2×Dic3).71D6 = Dic3⋊5D12φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).71D6288,542
(C2×Dic3).72D6 = D12⋊Dic3φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).72D6288,546
(C2×Dic3).73D6 = C62.70C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).73D6288,548
(C2×Dic3).74D6 = C62.72C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).74D6288,550
(C2×Dic3).75D6 = C62.74C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).75D6288,552
(C2×Dic3).76D6 = Dic3⋊3D12φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).76D6288,558
(C2×Dic3).77D6 = C62.83C23φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).77D6288,561
(C2×Dic3).78D6 = C62.94C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).78D6288,600
(C2×Dic3).79D6 = C62.95C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).79D6288,601
(C2×Dic3).80D6 = C62.97C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).80D6288,603
(C2×Dic3).81D6 = C62.99C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).81D6288,605
(C2×Dic3).82D6 = C62.101C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).82D6288,607
(C2×Dic3).83D6 = C62.112C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).83D6288,618
(C2×Dic3).84D6 = C62.115C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).84D6288,621
(C2×Dic3).85D6 = C62.121C23φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).85D6288,627
(C2×Dic3).86D6 = C2×S3×Dic6φ: D6/S3 → C2 ⊆ Out C2×Dic396(C2xDic3).86D6288,942
(C2×Dic3).87D6 = C2×D12⋊S3φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).87D6288,944
(C2×Dic3).88D6 = C2×Dic3.D6φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).88D6288,947
(C2×Dic3).89D6 = C2×D6.4D6φ: D6/S3 → C2 ⊆ Out C2×Dic348(C2xDic3).89D6288,971
(C2×Dic3).90D6 = Dic3.D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).90D6288,500
(C2×Dic3).91D6 = C62.25C23φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).91D6288,503
(C2×Dic3).92D6 = D6⋊7Dic6φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).92D6288,505
(C2×Dic3).93D6 = C62.29C23φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).93D6288,507
(C2×Dic3).94D6 = C12.27D12φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).94D6288,508
(C2×Dic3).95D6 = C12.28D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).95D6288,512
(C2×Dic3).96D6 = C62.44C23φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).96D6288,522
(C2×Dic3).97D6 = C4×D6⋊S3φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).97D6288,549
(C2×Dic3).98D6 = C4×C3⋊D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).98D6288,551
(C2×Dic3).99D6 = C62.75C23φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).99D6288,553
(C2×Dic3).100D6 = D6⋊2D12φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).100D6288,556
(C2×Dic3).101D6 = C12⋊D12φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).101D6288,559
(C2×Dic3).102D6 = C4×C32⋊2Q8φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).102D6288,565
(C2×Dic3).103D6 = C2×Dic3⋊Dic3φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).103D6288,613
(C2×Dic3).104D6 = C2×C62.C22φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).104D6288,615
(C2×Dic3).105D6 = C62⋊6D4φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).105D6288,626
(C2×Dic3).106D6 = C2×D6.D6φ: D6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).106D6288,948
(C2×Dic3).107D6 = C22×C32⋊2Q8φ: D6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).107D6288,975
(C2×Dic3).108D6 = C62.6C23φ: trivial image48(C2xDic3).108D6288,484
(C2×Dic3).109D6 = Dic3⋊6Dic6φ: trivial image96(C2xDic3).109D6288,492
(C2×Dic3).110D6 = C4×S3×Dic3φ: trivial image96(C2xDic3).110D6288,523
(C2×Dic3).111D6 = Dic3⋊4D12φ: trivial image48(C2xDic3).111D6288,528
(C2×Dic3).112D6 = C4×C6.D6φ: trivial image48(C2xDic3).112D6288,530
(C2×Dic3).113D6 = Dic3×D12φ: trivial image96(C2xDic3).113D6288,540
(C2×Dic3).114D6 = C2×Dic32φ: trivial image96(C2xDic3).114D6288,602
(C2×Dic3).115D6 = Dic3×C3⋊D4φ: trivial image48(C2xDic3).115D6288,620
(C2×Dic3).116D6 = C2×D12⋊5S3φ: trivial image96(C2xDic3).116D6288,943
(C2×Dic3).117D6 = C2×D6.6D6φ: trivial image48(C2xDic3).117D6288,949

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