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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=D6

Direct product G=N×Q with N=C22×S3 and Q=D6
dρLabelID
S32×C2348S3^2xC2^3288,1040

Semidirect products G=N:Q with N=C22×S3 and Q=D6
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊D6 = C2×S3×S4φ: D6/C2 → S3 ⊆ Out C22×S3186+(C2^2xS3):D6288,1028
(C22×S3)⋊2D6 = D6⋊4D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3):2D6288,570
(C22×S3)⋊3D6 = C62⋊4D4φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3):3D6288,624
(C22×S3)⋊4D6 = C62⋊8D4φ: D6/C3 → C22 ⊆ Out C22×S324(C2^2xS3):4D6288,629
(C22×S3)⋊5D6 = D12⋊24D6φ: D6/C3 → C22 ⊆ Out C22×S3484(C2^2xS3):5D6288,955
(C22×S3)⋊6D6 = D12⋊12D6φ: D6/C3 → C22 ⊆ Out C22×S3488-(C2^2xS3):6D6288,961
(C22×S3)⋊7D6 = D12⋊13D6φ: D6/C3 → C22 ⊆ Out C22×S3248+(C2^2xS3):7D6288,962
(C22×S3)⋊8D6 = C32⋊2+ 1+4φ: D6/C3 → C22 ⊆ Out C22×S3244(C2^2xS3):8D6288,978
(C22×S3)⋊9D6 = C2×S3×D12φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3):9D6288,951
(C22×S3)⋊10D6 = C2×D6⋊D6φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3):10D6288,952
(C22×S3)⋊11D6 = S32×D4φ: D6/S3 → C2 ⊆ Out C22×S3248+(C2^2xS3):11D6288,958
(C22×S3)⋊12D6 = C2×S3×C3⋊D4φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3):12D6288,976
(C22×S3)⋊13D6 = C2×Dic3⋊D6φ: D6/S3 → C2 ⊆ Out C22×S324(C2^2xS3):13D6288,977
(C22×S3)⋊14D6 = C22×D6⋊S3φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3):14D6288,973
(C22×S3)⋊15D6 = C22×C3⋊D12φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3):15D6288,974

Non-split extensions G=N.Q with N=C22×S3 and Q=D6
extensionφ:Q→Out NdρLabelID
(C22×S3).1D6 = Dic3.D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).1D6288,500
(C22×S3).2D6 = C62.23C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).2D6288,501
(C22×S3).3D6 = C62.24C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).3D6288,502
(C22×S3).4D6 = C62.28C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).4D6288,506
(C22×S3).5D6 = C62.29C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).5D6288,507
(C22×S3).6D6 = C12.27D12φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).6D6288,508
(C22×S3).7D6 = C62.31C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).7D6288,509
(C22×S3).8D6 = C62.32C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).8D6288,510
(C22×S3).9D6 = C62.33C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).9D6288,511
(C22×S3).10D6 = C62.55C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).10D6288,533
(C22×S3).11D6 = D6.9D12φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).11D6288,539
(C22×S3).12D6 = D6⋊D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).12D6288,554
(C22×S3).13D6 = C62.77C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).13D6288,555
(C22×S3).14D6 = D6⋊2D12φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).14D6288,556
(C22×S3).15D6 = Dic3⋊3D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).15D6288,558
(C22×S3).16D6 = C12⋊D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).16D6288,559
(C22×S3).17D6 = C62.82C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).17D6288,560
(C22×S3).18D6 = C62.83C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).18D6288,561
(C22×S3).19D6 = C62.84C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).19D6288,562
(C22×S3).20D6 = C62.85C23φ: D6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).20D6288,563
(C22×S3).21D6 = C12⋊2D12φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).21D6288,564
(C22×S3).22D6 = C62.100C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).22D6288,606
(C22×S3).23D6 = C62.101C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).23D6288,607
(C22×S3).24D6 = C62.56D4φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).24D6288,609
(C22×S3).25D6 = C62.57D4φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).25D6288,610
(C22×S3).26D6 = C62⋊6D4φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).26D6288,626
(C22×S3).27D6 = C62.121C23φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).27D6288,627
(C22×S3).28D6 = C62⋊7D4φ: D6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).28D6288,628
(C22×S3).29D6 = C62.47C23φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).29D6288,525
(C22×S3).30D6 = C62.48C23φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).30D6288,526
(C22×S3).31D6 = C62.49C23φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).31D6288,527
(C22×S3).32D6 = Dic3⋊4D12φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).32D6288,528
(C22×S3).33D6 = C62.51C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).33D6288,529
(C22×S3).34D6 = C62.54C23φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).34D6288,532
(C22×S3).35D6 = Dic3⋊D12φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).35D6288,534
(C22×S3).36D6 = D6⋊1Dic6φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).36D6288,535
(C22×S3).37D6 = D6.D12φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).37D6288,538
(C22×S3).38D6 = Dic3×D12φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).38D6288,540
(C22×S3).39D6 = D6⋊2Dic6φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).39D6288,541
(C22×S3).40D6 = D6⋊3Dic6φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).40D6288,544
(C22×S3).41D6 = D12⋊Dic3φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).41D6288,546
(C22×S3).42D6 = D6⋊4Dic6φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).42D6288,547
(C22×S3).43D6 = C62.72C23φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).43D6288,550
(C22×S3).44D6 = S3×D6⋊C4φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).44D6288,568
(C22×S3).45D6 = C62.91C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).45D6288,569
(C22×S3).46D6 = D6⋊5D12φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).46D6288,571
(C22×S3).47D6 = C62.111C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).47D6288,617
(C22×S3).48D6 = C62.112C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).48D6288,618
(C22×S3).49D6 = C62.113C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).49D6288,619
(C22×S3).50D6 = Dic3×C3⋊D4φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).50D6288,620
(C22×S3).51D6 = C62.115C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).51D6288,621
(C22×S3).52D6 = C62.125C23φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).52D6288,631
(C22×S3).53D6 = C2×D12⋊5S3φ: D6/S3 → C2 ⊆ Out C22×S396(C2^2xS3).53D6288,943
(C22×S3).54D6 = C2×D12⋊S3φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).54D6288,944
(C22×S3).55D6 = S3×D4⋊2S3φ: D6/S3 → C2 ⊆ Out C22×S3488-(C2^2xS3).55D6288,959
(C22×S3).56D6 = C2×D6.3D6φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).56D6288,970
(C22×S3).57D6 = C2×D6.4D6φ: D6/S3 → C2 ⊆ Out C22×S348(C2^2xS3).57D6288,971
(C22×S3).58D6 = C62.11C23φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).58D6288,489
(C22×S3).59D6 = C62.20C23φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).59D6288,498
(C22×S3).60D6 = D6⋊Dic6φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).60D6288,499
(C22×S3).61D6 = C62.25C23φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).61D6288,503
(C22×S3).62D6 = D6⋊6Dic6φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).62D6288,504
(C22×S3).63D6 = D6⋊7Dic6φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).63D6288,505
(C22×S3).64D6 = C4×D6⋊S3φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).64D6288,549
(C22×S3).65D6 = C4×C3⋊D12φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).65D6288,551
(C22×S3).66D6 = C62.74C23φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).66D6288,552
(C22×S3).67D6 = C62.75C23φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).67D6288,553
(C22×S3).68D6 = C12⋊7D12φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).68D6288,557
(C22×S3).69D6 = C2×D6⋊Dic3φ: D6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).69D6288,608
(C22×S3).70D6 = C62⋊5D4φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).70D6288,625
(C22×S3).71D6 = C2×D6.D6φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).71D6288,948
(C22×S3).72D6 = C2×D6.6D6φ: D6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).72D6288,949
(C22×S3).73D6 = S3×C4○D12φ: D6/C6 → C2 ⊆ Out C22×S3484(C2^2xS3).73D6288,953
(C22×S3).74D6 = C4×S3×Dic3φ: trivial image96(C2^2xS3).74D6288,523
(C22×S3).75D6 = S3×Dic3⋊C4φ: trivial image96(C2^2xS3).75D6288,524
(C22×S3).76D6 = S3×C4⋊Dic3φ: trivial image96(C2^2xS3).76D6288,537
(C22×S3).77D6 = S3×C6.D4φ: trivial image48(C2^2xS3).77D6288,616
(C22×S3).78D6 = C2×S3×Dic6φ: trivial image96(C2^2xS3).78D6288,942
(C22×S3).79D6 = S32×C2×C4φ: trivial image48(C2^2xS3).79D6288,950
(C22×S3).80D6 = C22×S3×Dic3φ: trivial image96(C2^2xS3).80D6288,969

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