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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=D4

Direct product G=N×Q with N=C32×C6 and Q=D4
dρLabelID
D4×C32×C6216D4xC3^2xC6432,731

Semidirect products G=N:Q with N=C32×C6 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C32×C6)⋊1D4 = C6×S3≀C2φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6):1D4432,754
(C32×C6)⋊2D4 = C2×C33⋊D4φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6):2D4432,755
(C32×C6)⋊3D4 = C2×C32⋊2D12φ: D4/C1 → D4 ⊆ Aut C32×C6248+(C3^2xC6):3D4432,756
(C32×C6)⋊4D4 = C6×D6⋊S3φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6):4D4432,655
(C32×C6)⋊5D4 = C6×C3⋊D12φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6):5D4432,656
(C32×C6)⋊6D4 = C2×C33⋊6D4φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6):6D4432,680
(C32×C6)⋊7D4 = C2×C33⋊7D4φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6):7D4432,681
(C32×C6)⋊8D4 = C2×C33⋊8D4φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6):8D4432,682
(C32×C6)⋊9D4 = C2×C33⋊9D4φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6):9D4432,694
(C32×C6)⋊10D4 = C3×C6×D12φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6):10D4432,702
(C32×C6)⋊11D4 = C6×C12⋊S3φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6):11D4432,712
(C32×C6)⋊12D4 = C2×C33⋊12D4φ: D4/C4 → C2 ⊆ Aut C32×C6216(C3^2xC6):12D4432,722
(C32×C6)⋊13D4 = C3×C6×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6):13D4432,709
(C32×C6)⋊14D4 = C6×C32⋊7D4φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6):14D4432,719
(C32×C6)⋊15D4 = C2×C33⋊15D4φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6):15D4432,729

Non-split extensions G=N.Q with N=C32×C6 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C32×C6).1D4 = C3×S32⋊C4φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).1D4432,574
(C32×C6).2D4 = C3×C3⋊S3.Q8φ: D4/C1 → D4 ⊆ Aut C32×C6484(C3^2xC6).2D4432,575
(C32×C6).3D4 = C3×C32⋊D8φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).3D4432,576
(C32×C6).4D4 = C3×C32⋊2SD16φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).4D4432,577
(C32×C6).5D4 = C3×C32⋊Q16φ: D4/C1 → D4 ⊆ Aut C32×C6484(C3^2xC6).5D4432,578
(C32×C6).6D4 = C3⋊S3.2D12φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).6D4432,579
(C32×C6).7D4 = S32⋊Dic3φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).7D4432,580
(C32×C6).8D4 = C33⋊C4⋊C4φ: D4/C1 → D4 ⊆ Aut C32×C6484(C3^2xC6).8D4432,581
(C32×C6).9D4 = C33⋊D8φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).9D4432,582
(C32×C6).10D4 = C33⋊6SD16φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).10D4432,583
(C32×C6).11D4 = C33⋊7SD16φ: D4/C1 → D4 ⊆ Aut C32×C6244(C3^2xC6).11D4432,584
(C32×C6).12D4 = C33⋊Q16φ: D4/C1 → D4 ⊆ Aut C32×C6484(C3^2xC6).12D4432,585
(C32×C6).13D4 = (C3×C6).8D12φ: D4/C1 → D4 ⊆ Aut C32×C6248+(C3^2xC6).13D4432,586
(C32×C6).14D4 = (C3×C6).9D12φ: D4/C1 → D4 ⊆ Aut C32×C6488-(C3^2xC6).14D4432,587
(C32×C6).15D4 = C32⋊2D24φ: D4/C1 → D4 ⊆ Aut C32×C6248+(C3^2xC6).15D4432,588
(C32×C6).16D4 = C33⋊8SD16φ: D4/C1 → D4 ⊆ Aut C32×C6248+(C3^2xC6).16D4432,589
(C32×C6).17D4 = C33⋊3Q16φ: D4/C1 → D4 ⊆ Aut C32×C6488-(C3^2xC6).17D4432,590
(C32×C6).18D4 = C3×C32⋊2D8φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).18D4432,418
(C32×C6).19D4 = C3×C3⋊D24φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).19D4432,419
(C32×C6).20D4 = C3×Dic6⋊S3φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).20D4432,420
(C32×C6).21D4 = C3×D12.S3φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).21D4432,421
(C32×C6).22D4 = C3×C32⋊5SD16φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).22D4432,422
(C32×C6).23D4 = C3×C32⋊2Q16φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).23D4432,423
(C32×C6).24D4 = C3×C32⋊3Q16φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).24D4432,424
(C32×C6).25D4 = C3×D6⋊Dic3φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).25D4432,426
(C32×C6).26D4 = C3×C6.D12φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).26D4432,427
(C32×C6).27D4 = C3×Dic3⋊Dic3φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).27D4432,428
(C32×C6).28D4 = C3×C62.C22φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).28D4432,429
(C32×C6).29D4 = C33⋊6D8φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).29D4432,436
(C32×C6).30D4 = C33⋊7D8φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6).30D4432,437
(C32×C6).31D4 = C33⋊8D8φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6).31D4432,438
(C32×C6).32D4 = C33⋊12SD16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).32D4432,439
(C32×C6).33D4 = C33⋊13SD16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).33D4432,440
(C32×C6).34D4 = C33⋊14SD16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).34D4432,441
(C32×C6).35D4 = C33⋊15SD16φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6).35D4432,442
(C32×C6).36D4 = C33⋊16SD16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).36D4432,443
(C32×C6).37D4 = C33⋊17SD16φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6).37D4432,444
(C32×C6).38D4 = C33⋊6Q16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).38D4432,445
(C32×C6).39D4 = C33⋊7Q16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).39D4432,446
(C32×C6).40D4 = C33⋊8Q16φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).40D4432,447
(C32×C6).41D4 = C62.77D6φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).41D4432,449
(C32×C6).42D4 = C62.78D6φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).42D4432,450
(C32×C6).43D4 = C62.79D6φ: D4/C2 → C22 ⊆ Aut C32×C672(C3^2xC6).43D4432,451
(C32×C6).44D4 = C62.80D6φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).44D4432,452
(C32×C6).45D4 = C62.81D6φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).45D4432,453
(C32×C6).46D4 = C62.82D6φ: D4/C2 → C22 ⊆ Aut C32×C6144(C3^2xC6).46D4432,454
(C32×C6).47D4 = C33⋊9D8φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).47D4432,457
(C32×C6).48D4 = C33⋊18SD16φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).48D4432,458
(C32×C6).49D4 = C33⋊9Q16φ: D4/C2 → C22 ⊆ Aut C32×C6484(C3^2xC6).49D4432,459
(C32×C6).50D4 = C62.84D6φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).50D4432,461
(C32×C6).51D4 = C62.85D6φ: D4/C2 → C22 ⊆ Aut C32×C648(C3^2xC6).51D4432,462
(C32×C6).52D4 = C32×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).52D4432,466
(C32×C6).53D4 = C32×D24φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).53D4432,467
(C32×C6).54D4 = C32×Dic12φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).54D4432,468
(C32×C6).55D4 = C32×C4⋊Dic3φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).55D4432,473
(C32×C6).56D4 = C32×D6⋊C4φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).56D4432,474
(C32×C6).57D4 = C3×C24⋊2S3φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).57D4432,482
(C32×C6).58D4 = C3×C32⋊5D8φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).58D4432,483
(C32×C6).59D4 = C3×C32⋊5Q16φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).59D4432,484
(C32×C6).60D4 = C3×C12⋊Dic3φ: D4/C4 → C2 ⊆ Aut C32×C6144(C3^2xC6).60D4432,489
(C32×C6).61D4 = C33⋊21SD16φ: D4/C4 → C2 ⊆ Aut C32×C6216(C3^2xC6).61D4432,498
(C32×C6).62D4 = C33⋊12D8φ: D4/C4 → C2 ⊆ Aut C32×C6216(C3^2xC6).62D4432,499
(C32×C6).63D4 = C33⋊12Q16φ: D4/C4 → C2 ⊆ Aut C32×C6432(C3^2xC6).63D4432,500
(C32×C6).64D4 = C62.147D6φ: D4/C4 → C2 ⊆ Aut C32×C6432(C3^2xC6).64D4432,505
(C32×C6).65D4 = C32×Dic3⋊C4φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).65D4432,472
(C32×C6).66D4 = C32×D4⋊S3φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).66D4432,475
(C32×C6).67D4 = C32×D4.S3φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).67D4432,476
(C32×C6).68D4 = C32×Q8⋊2S3φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).68D4432,477
(C32×C6).69D4 = C32×C3⋊Q16φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).69D4432,478
(C32×C6).70D4 = C32×C6.D4φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).70D4432,479
(C32×C6).71D4 = C3×C6.Dic6φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).71D4432,488
(C32×C6).72D4 = C3×C6.11D12φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).72D4432,490
(C32×C6).73D4 = C3×C32⋊7D8φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).73D4432,491
(C32×C6).74D4 = C3×C32⋊9SD16φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).74D4432,492
(C32×C6).75D4 = C3×C32⋊11SD16φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).75D4432,493
(C32×C6).76D4 = C3×C32⋊7Q16φ: D4/C22 → C2 ⊆ Aut C32×C6144(C3^2xC6).76D4432,494
(C32×C6).77D4 = C3×C62⋊5C4φ: D4/C22 → C2 ⊆ Aut C32×C672(C3^2xC6).77D4432,495
(C32×C6).78D4 = C62.146D6φ: D4/C22 → C2 ⊆ Aut C32×C6432(C3^2xC6).78D4432,504
(C32×C6).79D4 = C62.148D6φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6).79D4432,506
(C32×C6).80D4 = C33⋊15D8φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6).80D4432,507
(C32×C6).81D4 = C33⋊24SD16φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6).81D4432,508
(C32×C6).82D4 = C33⋊27SD16φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6).82D4432,509
(C32×C6).83D4 = C33⋊15Q16φ: D4/C22 → C2 ⊆ Aut C32×C6432(C3^2xC6).83D4432,510
(C32×C6).84D4 = C63.C2φ: D4/C22 → C2 ⊆ Aut C32×C6216(C3^2xC6).84D4432,511
(C32×C6).85D4 = C22⋊C4×C33central extension (φ=1)216(C3^2xC6).85D4432,513
(C32×C6).86D4 = C4⋊C4×C33central extension (φ=1)432(C3^2xC6).86D4432,514
(C32×C6).87D4 = D8×C33central extension (φ=1)216(C3^2xC6).87D4432,517
(C32×C6).88D4 = SD16×C33central extension (φ=1)216(C3^2xC6).88D4432,518
(C32×C6).89D4 = Q16×C33central extension (φ=1)432(C3^2xC6).89D4432,519

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