Extensions 1→N→G→Q→1 with N=S3×C2×C6 and Q=C22

Direct product G=N×Q with N=S3×C2×C6 and Q=C22
dρLabelID
S3×C23×C696S3xC2^3xC6288,1043

Semidirect products G=N:Q with N=S3×C2×C6 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C2×C6)⋊1C22 = D64D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6):1C2^2288,570
(S3×C2×C6)⋊2C22 = C624D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6):2C2^2288,624
(S3×C2×C6)⋊3C22 = C628D4φ: C22/C1C22 ⊆ Out S3×C2×C624(S3xC2xC6):3C2^2288,629
(S3×C2×C6)⋊4C22 = C3×D6⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6):4C2^2288,653
(S3×C2×C6)⋊5C22 = C3×C244S3φ: C22/C1C22 ⊆ Out S3×C2×C624(S3xC2xC6):5C2^2288,724
(S3×C2×C6)⋊6C22 = C2×S3×D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6):6C2^2288,951
(S3×C2×C6)⋊7C22 = C2×D6⋊D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6):7C2^2288,952
(S3×C2×C6)⋊8C22 = D1224D6φ: C22/C1C22 ⊆ Out S3×C2×C6484(S3xC2xC6):8C2^2288,955
(S3×C2×C6)⋊9C22 = S32×D4φ: C22/C1C22 ⊆ Out S3×C2×C6248+(S3xC2xC6):9C2^2288,958
(S3×C2×C6)⋊10C22 = D1212D6φ: C22/C1C22 ⊆ Out S3×C2×C6488-(S3xC2xC6):10C2^2288,961
(S3×C2×C6)⋊11C22 = D1213D6φ: C22/C1C22 ⊆ Out S3×C2×C6248+(S3xC2xC6):11C2^2288,962
(S3×C2×C6)⋊12C22 = C2×Dic3⋊D6φ: C22/C1C22 ⊆ Out S3×C2×C624(S3xC2xC6):12C2^2288,977
(S3×C2×C6)⋊13C22 = C32⋊2+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C6244(S3xC2xC6):13C2^2288,978
(S3×C2×C6)⋊14C22 = C3×D46D6φ: C22/C1C22 ⊆ Out S3×C2×C6244(S3xC2xC6):14C2^2288,994
(S3×C2×C6)⋊15C22 = C3×D4○D12φ: C22/C1C22 ⊆ Out S3×C2×C6484(S3xC2xC6):15C2^2288,999
(S3×C2×C6)⋊16C22 = C22×D6⋊S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6):16C2^2288,973
(S3×C2×C6)⋊17C22 = C22×C3⋊D12φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6):17C2^2288,974
(S3×C2×C6)⋊18C22 = C2×S3×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6):18C2^2288,976
(S3×C2×C6)⋊19C22 = C2×C6×D12φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6):19C2^2288,990
(S3×C2×C6)⋊20C22 = S3×C6×D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6):20C2^2288,992
(S3×C2×C6)⋊21C22 = C2×C6×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6):21C2^2288,1002
(S3×C2×C6)⋊22C22 = S32×C23φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6):22C2^2288,1040

Non-split extensions G=N.Q with N=S3×C2×C6 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C2×C6).1C22 = Dic3.D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).1C2^2288,500
(S3×C2×C6).2C22 = C62.23C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).2C2^2288,501
(S3×C2×C6).3C22 = C62.24C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).3C2^2288,502
(S3×C2×C6).4C22 = C62.28C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).4C2^2288,506
(S3×C2×C6).5C22 = C62.29C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).5C2^2288,507
(S3×C2×C6).6C22 = C12.27D12φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).6C2^2288,508
(S3×C2×C6).7C22 = C62.31C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).7C2^2288,509
(S3×C2×C6).8C22 = C62.32C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).8C2^2288,510
(S3×C2×C6).9C22 = C62.33C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).9C2^2288,511
(S3×C2×C6).10C22 = C62.47C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).10C2^2288,525
(S3×C2×C6).11C22 = C62.48C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).11C2^2288,526
(S3×C2×C6).12C22 = C62.49C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).12C2^2288,527
(S3×C2×C6).13C22 = Dic34D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).13C2^2288,528
(S3×C2×C6).14C22 = C62.51C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).14C2^2288,529
(S3×C2×C6).15C22 = C62.54C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).15C2^2288,532
(S3×C2×C6).16C22 = C62.55C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).16C2^2288,533
(S3×C2×C6).17C22 = Dic3⋊D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).17C2^2288,534
(S3×C2×C6).18C22 = D61Dic6φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).18C2^2288,535
(S3×C2×C6).19C22 = D6.D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).19C2^2288,538
(S3×C2×C6).20C22 = D6.9D12φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).20C2^2288,539
(S3×C2×C6).21C22 = Dic3×D12φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).21C2^2288,540
(S3×C2×C6).22C22 = D62Dic6φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).22C2^2288,541
(S3×C2×C6).23C22 = D63Dic6φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).23C2^2288,544
(S3×C2×C6).24C22 = D12⋊Dic3φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).24C2^2288,546
(S3×C2×C6).25C22 = D64Dic6φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).25C2^2288,547
(S3×C2×C6).26C22 = C62.72C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).26C2^2288,550
(S3×C2×C6).27C22 = D6⋊D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).27C2^2288,554
(S3×C2×C6).28C22 = C62.77C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).28C2^2288,555
(S3×C2×C6).29C22 = D62D12φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).29C2^2288,556
(S3×C2×C6).30C22 = Dic33D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).30C2^2288,558
(S3×C2×C6).31C22 = C12⋊D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).31C2^2288,559
(S3×C2×C6).32C22 = C62.82C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).32C2^2288,560
(S3×C2×C6).33C22 = C62.83C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).33C2^2288,561
(S3×C2×C6).34C22 = C62.84C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).34C2^2288,562
(S3×C2×C6).35C22 = C62.85C23φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).35C2^2288,563
(S3×C2×C6).36C22 = C122D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).36C2^2288,564
(S3×C2×C6).37C22 = C62.91C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).37C2^2288,569
(S3×C2×C6).38C22 = D65D12φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).38C2^2288,571
(S3×C2×C6).39C22 = C62.100C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).39C2^2288,606
(S3×C2×C6).40C22 = C62.101C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).40C2^2288,607
(S3×C2×C6).41C22 = C62.56D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).41C2^2288,609
(S3×C2×C6).42C22 = C62.57D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).42C2^2288,610
(S3×C2×C6).43C22 = C62.111C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).43C2^2288,617
(S3×C2×C6).44C22 = C62.112C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).44C2^2288,618
(S3×C2×C6).45C22 = C62.113C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).45C2^2288,619
(S3×C2×C6).46C22 = Dic3×C3⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).46C2^2288,620
(S3×C2×C6).47C22 = C62.115C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).47C2^2288,621
(S3×C2×C6).48C22 = C626D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).48C2^2288,626
(S3×C2×C6).49C22 = C62.121C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).49C2^2288,627
(S3×C2×C6).50C22 = C627D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).50C2^2288,628
(S3×C2×C6).51C22 = C62.125C23φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).51C2^2288,631
(S3×C2×C6).52C22 = C3×C4⋊D12φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).52C2^2288,645
(S3×C2×C6).53C22 = C3×C427S3φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).53C2^2288,646
(S3×C2×C6).54C22 = C3×C423S3φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).54C2^2288,647
(S3×C2×C6).55C22 = C3×C23.11D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).55C2^2288,656
(S3×C2×C6).56C22 = C3×C23.21D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).56C2^2288,657
(S3×C2×C6).57C22 = C3×C12⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).57C2^2288,666
(S3×C2×C6).58C22 = C3×C4⋊C4⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).58C2^2288,669
(S3×C2×C6).59C22 = C3×C23.28D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).59C2^2288,700
(S3×C2×C6).60C22 = C3×C127D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).60C2^2288,701
(S3×C2×C6).61C22 = C3×C23.14D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).61C2^2288,710
(S3×C2×C6).62C22 = C3×C123D4φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).62C2^2288,711
(S3×C2×C6).63C22 = C3×C12.23D4φ: C22/C1C22 ⊆ Out S3×C2×C696(S3xC2xC6).63C2^2288,718
(S3×C2×C6).64C22 = C2×D12⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).64C2^2288,944
(S3×C2×C6).65C22 = S3×D42S3φ: C22/C1C22 ⊆ Out S3×C2×C6488-(S3xC2xC6).65C2^2288,959
(S3×C2×C6).66C22 = C2×D6.3D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).66C2^2288,970
(S3×C2×C6).67C22 = C2×D6.4D6φ: C22/C1C22 ⊆ Out S3×C2×C648(S3xC2xC6).67C2^2288,971
(S3×C2×C6).68C22 = C62.11C23φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).68C2^2288,489
(S3×C2×C6).69C22 = C62.20C23φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).69C2^2288,498
(S3×C2×C6).70C22 = D6⋊Dic6φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).70C2^2288,499
(S3×C2×C6).71C22 = C62.25C23φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).71C2^2288,503
(S3×C2×C6).72C22 = D66Dic6φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).72C2^2288,504
(S3×C2×C6).73C22 = D67Dic6φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).73C2^2288,505
(S3×C2×C6).74C22 = C4×S3×Dic3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).74C2^2288,523
(S3×C2×C6).75C22 = S3×Dic3⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).75C2^2288,524
(S3×C2×C6).76C22 = S3×C4⋊Dic3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).76C2^2288,537
(S3×C2×C6).77C22 = C4×D6⋊S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).77C2^2288,549
(S3×C2×C6).78C22 = C4×C3⋊D12φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).78C2^2288,551
(S3×C2×C6).79C22 = C62.74C23φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).79C2^2288,552
(S3×C2×C6).80C22 = C62.75C23φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).80C2^2288,553
(S3×C2×C6).81C22 = C127D12φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).81C2^2288,557
(S3×C2×C6).82C22 = S3×D6⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).82C2^2288,568
(S3×C2×C6).83C22 = C2×D6⋊Dic3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).83C2^2288,608
(S3×C2×C6).84C22 = S3×C6.D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).84C2^2288,616
(S3×C2×C6).85C22 = C625D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).85C2^2288,625
(S3×C2×C6).86C22 = C3×C422S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).86C2^2288,643
(S3×C2×C6).87C22 = C12×D12φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).87C2^2288,644
(S3×C2×C6).88C22 = C3×S3×C22⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).88C2^2288,651
(S3×C2×C6).89C22 = C3×Dic34D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).89C2^2288,652
(S3×C2×C6).90C22 = C3×C23.9D6φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).90C2^2288,654
(S3×C2×C6).91C22 = C3×Dic3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).91C2^2288,655
(S3×C2×C6).92C22 = C3×C4⋊C47S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).92C2^2288,663
(S3×C2×C6).93C22 = C3×Dic35D4φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).93C2^2288,664
(S3×C2×C6).94C22 = C3×D6.D4φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).94C2^2288,665
(S3×C2×C6).95C22 = C3×D6⋊Q8φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).95C2^2288,667
(S3×C2×C6).96C22 = C3×C4.D12φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).96C2^2288,668
(S3×C2×C6).97C22 = C6×D6⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).97C2^2288,698
(S3×C2×C6).98C22 = C12×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).98C2^2288,699
(S3×C2×C6).99C22 = C3×C232D6φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).99C2^2288,708
(S3×C2×C6).100C22 = C3×D63D4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).100C2^2288,709
(S3×C2×C6).101C22 = C3×D63Q8φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).101C2^2288,717
(S3×C2×C6).102C22 = C2×S3×Dic6φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).102C2^2288,942
(S3×C2×C6).103C22 = C2×D125S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).103C2^2288,943
(S3×C2×C6).104C22 = C2×D6.D6φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).104C2^2288,948
(S3×C2×C6).105C22 = C2×D6.6D6φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).105C2^2288,949
(S3×C2×C6).106C22 = S32×C2×C4φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).106C2^2288,950
(S3×C2×C6).107C22 = S3×C4○D12φ: C22/C2C2 ⊆ Out S3×C2×C6484(S3xC2xC6).107C2^2288,953
(S3×C2×C6).108C22 = C22×S3×Dic3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).108C2^2288,969
(S3×C2×C6).109C22 = C6×C4○D12φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).109C2^2288,991
(S3×C2×C6).110C22 = C6×D42S3φ: C22/C2C2 ⊆ Out S3×C2×C648(S3xC2xC6).110C2^2288,993
(S3×C2×C6).111C22 = C6×Q83S3φ: C22/C2C2 ⊆ Out S3×C2×C696(S3xC2xC6).111C2^2288,996
(S3×C2×C6).112C22 = C3×S3×C4○D4φ: C22/C2C2 ⊆ Out S3×C2×C6484(S3xC2xC6).112C2^2288,998
(S3×C2×C6).113C22 = S3×C4×C12φ: trivial image96(S3xC2xC6).113C2^2288,642
(S3×C2×C6).114C22 = C3×S3×C4⋊C4φ: trivial image96(S3xC2xC6).114C2^2288,662
(S3×C2×C6).115C22 = S3×C22×C12φ: trivial image96(S3xC2xC6).115C2^2288,989
(S3×C2×C6).116C22 = S3×C6×Q8φ: trivial image96(S3xC2xC6).116C2^2288,995

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