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Extensions 1→N→G→Q→1 with N=C2×C62 and Q=C22

Direct product G=N×Q with N=C2×C62 and Q=C22
dρLabelID
C23×C62288C2^3xC6^2288,1045

Semidirect products G=N:Q with N=C2×C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C62)⋊1C22 = C32×C22≀C2φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2):1C2^2288,817
(C2×C62)⋊2C22 = C32×2+ 1+4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2):2C2^2288,1022
(C2×C62)⋊3C22 = C62.125C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2):3C2^2288,631
(C2×C62)⋊4C22 = C3×C23⋊2D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2):4C2^2288,708
(C2×C62)⋊5C22 = C62⋊13D4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2):5C2^2288,794
(C2×C62)⋊6C22 = C2×S3×C3⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2):6C2^2288,976
(C2×C62)⋊7C22 = C2×Dic3⋊D6φ: C22/C1 → C22 ⊆ Aut C2×C6224(C2xC6^2):7C2^2288,977
(C2×C62)⋊8C22 = C32⋊2+ 1+4φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2):8C2^2288,978
(C2×C62)⋊9C22 = S3×C6×D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2):9C2^2288,992
(C2×C62)⋊10C22 = C3×D4⋊6D6φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2):10C2^2288,994
(C2×C62)⋊11C22 = C2×D4×C3⋊S3φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2):11C2^2288,1007
(C2×C62)⋊12C22 = C32⋊82+ 1+4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2):12C2^2288,1009
(C2×C62)⋊13C22 = S32×C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2):13C2^2288,1040
(C2×C62)⋊14C22 = D4×C62φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2):14C2^2288,1019
(C2×C62)⋊15C22 = C2×C6×C3⋊D4φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2):15C2^2288,1002
(C2×C62)⋊16C22 = C22×C32⋊7D4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2):16C2^2288,1017
(C2×C62)⋊17C22 = S3×C23×C6φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2):17C2^2288,1043
(C2×C62)⋊18C22 = C24×C3⋊S3φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2):18C2^2288,1044

Non-split extensions G=N.Q with N=C2×C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C62).1C22 = C32×C23⋊C4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2).1C2^2288,317
(C2×C62).2C22 = C32×C22.D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).2C2^2288,820
(C2×C62).3C22 = C32×C4.4D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).3C2^2288,821
(C2×C62).4C22 = C32×C42⋊2C2φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).4C2^2288,823
(C2×C62).5C22 = C32×C4⋊1D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).5C2^2288,824
(C2×C62).6C22 = C62.6Q8φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).6C2^2288,227
(C2×C62).7C22 = C62.31D4φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2).7C2^2288,228
(C2×C62).8C22 = C62.32D4φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2).8C2^2288,229
(C2×C62).9C22 = C3×C23.6D6φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2).9C2^2288,240
(C2×C62).10C22 = C3×C23.7D6φ: C22/C1 → C22 ⊆ Aut C2×C62244(C2xC6^2).10C2^2288,268
(C2×C62).11C22 = C62.110D4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2).11C2^2288,281
(C2×C62).12C22 = C62.38D4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2).12C2^2288,309
(C2×C62).13C22 = C62.94C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).13C2^2288,600
(C2×C62).14C22 = C62.95C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).14C2^2288,601
(C2×C62).15C22 = C2×Dic32φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).15C2^2288,602
(C2×C62).16C22 = C62.97C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).16C2^2288,603
(C2×C62).17C22 = C62.98C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).17C2^2288,604
(C2×C62).18C22 = C62.99C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).18C2^2288,605
(C2×C62).19C22 = C62.100C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).19C2^2288,606
(C2×C62).20C22 = C62.101C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).20C2^2288,607
(C2×C62).21C22 = C2×D6⋊Dic3φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).21C2^2288,608
(C2×C62).22C22 = C62.56D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).22C2^2288,609
(C2×C62).23C22 = C62.57D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).23C2^2288,610
(C2×C62).24C22 = C2×C6.D12φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).24C2^2288,611
(C2×C62).25C22 = C62⋊3Q8φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).25C2^2288,612
(C2×C62).26C22 = C2×Dic3⋊Dic3φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).26C2^2288,613
(C2×C62).27C22 = C62.60D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).27C2^2288,614
(C2×C62).28C22 = C2×C62.C22φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).28C2^2288,615
(C2×C62).29C22 = S3×C6.D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).29C2^2288,616
(C2×C62).30C22 = C62.111C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).30C2^2288,617
(C2×C62).31C22 = C62.112C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).31C2^2288,618
(C2×C62).32C22 = C62.113C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).32C2^2288,619
(C2×C62).33C22 = Dic3×C3⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).33C2^2288,620
(C2×C62).34C22 = C62.115C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).34C2^2288,621
(C2×C62).35C22 = C62.116C23φ: C22/C1 → C22 ⊆ Aut C2×C6224(C2xC6^2).35C2^2288,622
(C2×C62).36C22 = C62.117C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).36C2^2288,623
(C2×C62).37C22 = C62⋊4D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).37C2^2288,624
(C2×C62).38C22 = C62⋊5D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).38C2^2288,625
(C2×C62).39C22 = C62⋊6D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).39C2^2288,626
(C2×C62).40C22 = C62.121C23φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).40C2^2288,627
(C2×C62).41C22 = C62⋊7D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).41C2^2288,628
(C2×C62).42C22 = C62⋊8D4φ: C22/C1 → C22 ⊆ Aut C2×C6224(C2xC6^2).42C2^2288,629
(C2×C62).43C22 = C62⋊4Q8φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).43C2^2288,630
(C2×C62).44C22 = C3×C23.16D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).44C2^2288,648
(C2×C62).45C22 = C3×Dic3.D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).45C2^2288,649
(C2×C62).46C22 = C3×C23.8D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).46C2^2288,650
(C2×C62).47C22 = C3×S3×C22⋊C4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).47C2^2288,651
(C2×C62).48C22 = C3×Dic3⋊4D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).48C2^2288,652
(C2×C62).49C22 = C3×D6⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).49C2^2288,653
(C2×C62).50C22 = C3×C23.9D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).50C2^2288,654
(C2×C62).51C22 = C3×Dic3⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).51C2^2288,655
(C2×C62).52C22 = C3×C23.11D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).52C2^2288,656
(C2×C62).53C22 = C3×C23.21D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).53C2^2288,657
(C2×C62).54C22 = C3×D4×Dic3φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).54C2^2288,705
(C2×C62).55C22 = C3×C23.23D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).55C2^2288,706
(C2×C62).56C22 = C3×C23.12D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).56C2^2288,707
(C2×C62).57C22 = C3×D6⋊3D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).57C2^2288,709
(C2×C62).58C22 = C3×C23.14D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).58C2^2288,710
(C2×C62).59C22 = C3×C12⋊3D4φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).59C2^2288,711
(C2×C62).60C22 = C62.221C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).60C2^2288,734
(C2×C62).61C22 = C62⋊6Q8φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).61C2^2288,735
(C2×C62).62C22 = C62.223C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).62C2^2288,736
(C2×C62).63C22 = C22⋊C4×C3⋊S3φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2).63C2^2288,737
(C2×C62).64C22 = C62.225C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).64C2^2288,738
(C2×C62).65C22 = C62⋊12D4φ: C22/C1 → C22 ⊆ Aut C2×C6272(C2xC6^2).65C2^2288,739
(C2×C62).66C22 = C62.227C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).66C2^2288,740
(C2×C62).67C22 = C62.228C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).67C2^2288,741
(C2×C62).68C22 = C62.229C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).68C2^2288,742
(C2×C62).69C22 = C62.69D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).69C2^2288,743
(C2×C62).70C22 = D4×C3⋊Dic3φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).70C2^2288,791
(C2×C62).71C22 = C62.72D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).71C2^2288,792
(C2×C62).72C22 = C62.254C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).72C2^2288,793
(C2×C62).73C22 = C62.256C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).73C2^2288,795
(C2×C62).74C22 = C62⋊14D4φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).74C2^2288,796
(C2×C62).75C22 = C62.258C23φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).75C2^2288,797
(C2×C62).76C22 = C22×S3×Dic3φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).76C2^2288,969
(C2×C62).77C22 = C2×D6.3D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).77C2^2288,970
(C2×C62).78C22 = C2×D6.4D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).78C2^2288,971
(C2×C62).79C22 = C22×C6.D6φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).79C2^2288,972
(C2×C62).80C22 = C22×D6⋊S3φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).80C2^2288,973
(C2×C62).81C22 = C22×C3⋊D12φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).81C2^2288,974
(C2×C62).82C22 = C22×C32⋊2Q8φ: C22/C1 → C22 ⊆ Aut C2×C6296(C2xC6^2).82C2^2288,975
(C2×C62).83C22 = C6×D4⋊2S3φ: C22/C1 → C22 ⊆ Aut C2×C6248(C2xC6^2).83C2^2288,993
(C2×C62).84C22 = C2×C12.D6φ: C22/C1 → C22 ⊆ Aut C2×C62144(C2xC6^2).84C2^2288,1008
(C2×C62).85C22 = C22⋊C4×C3×C6φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).85C2^2288,812
(C2×C62).86C22 = C32×C42⋊C2φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).86C2^2288,814
(C2×C62).87C22 = D4×C3×C12φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).87C2^2288,815
(C2×C62).88C22 = C32×C4⋊D4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).88C2^2288,818
(C2×C62).89C22 = C32×C22⋊Q8φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).89C2^2288,819
(C2×C62).90C22 = C4○D4×C3×C6φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).90C2^2288,1021
(C2×C62).91C22 = C3×C6.C42φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).91C2^2288,265
(C2×C62).92C22 = C62.15Q8φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).92C2^2288,306
(C2×C62).93C22 = Dic3×C2×C12φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).93C2^2288,693
(C2×C62).94C22 = C6×Dic3⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).94C2^2288,694
(C2×C62).95C22 = C3×C12.48D4φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).95C2^2288,695
(C2×C62).96C22 = C6×C4⋊Dic3φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).96C2^2288,696
(C2×C62).97C22 = C3×C23.26D6φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).97C2^2288,697
(C2×C62).98C22 = C6×D6⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).98C2^2288,698
(C2×C62).99C22 = C12×C3⋊D4φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).99C2^2288,699
(C2×C62).100C22 = C3×C23.28D6φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).100C2^2288,700
(C2×C62).101C22 = C3×C12⋊7D4φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).101C2^2288,701
(C2×C62).102C22 = C6×C6.D4φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).102C2^2288,723
(C2×C62).103C22 = C3×C24⋊4S3φ: C22/C2 → C2 ⊆ Aut C2×C6224(C2xC6^2).103C2^2288,724
(C2×C62).104C22 = C2×C4×C3⋊Dic3φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).104C2^2288,779
(C2×C62).105C22 = C2×C6.Dic6φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).105C2^2288,780
(C2×C62).106C22 = C62⋊10Q8φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).106C2^2288,781
(C2×C62).107C22 = C2×C12⋊Dic3φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).107C2^2288,782
(C2×C62).108C22 = C62.247C23φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).108C2^2288,783
(C2×C62).109C22 = C2×C6.11D12φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).109C2^2288,784
(C2×C62).110C22 = C4×C32⋊7D4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).110C2^2288,785
(C2×C62).111C22 = C62.129D4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).111C2^2288,786
(C2×C62).112C22 = C62⋊19D4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).112C2^2288,787
(C2×C62).113C22 = C2×C62⋊5C4φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).113C2^2288,809
(C2×C62).114C22 = C62⋊24D4φ: C22/C2 → C2 ⊆ Aut C2×C6272(C2xC6^2).114C2^2288,810
(C2×C62).115C22 = C2×C6×Dic6φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).115C2^2288,988
(C2×C62).116C22 = S3×C22×C12φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).116C2^2288,989
(C2×C62).117C22 = C2×C6×D12φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).117C2^2288,990
(C2×C62).118C22 = C6×C4○D12φ: C22/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).118C2^2288,991
(C2×C62).119C22 = Dic3×C22×C6φ: C22/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).119C2^2288,1001
(C2×C62).120C22 = C22×C32⋊4Q8φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).120C2^2288,1003
(C2×C62).121C22 = C22×C4×C3⋊S3φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).121C2^2288,1004
(C2×C62).122C22 = C22×C12⋊S3φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).122C2^2288,1005
(C2×C62).123C22 = C2×C12.59D6φ: C22/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).123C2^2288,1006
(C2×C62).124C22 = C23×C3⋊Dic3φ: C22/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).124C2^2288,1016
(C2×C62).125C22 = C32×C2.C42central extension (φ=1)288(C2xC6^2).125C2^2288,313
(C2×C62).126C22 = C4⋊C4×C3×C6central extension (φ=1)288(C2xC6^2).126C2^2288,813
(C2×C62).127C22 = Q8×C62central extension (φ=1)288(C2xC6^2).127C2^2288,1020

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