# Extensions 1→N→G→Q→1 with N=C22×C6 and Q=D6

Direct product G=N×Q with N=C22×C6 and Q=D6
dρLabelID
S3×C23×C696S3xC2^3xC6288,1043

Semidirect products G=N:Q with N=C22×C6 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊D6 = C2×S3×S4φ: D6/C1D6 ⊆ Aut C22×C6186+(C2^2xC6):D6288,1028
(C22×C6)⋊2D6 = C2×C6×S4φ: D6/C2S3 ⊆ Aut C22×C636(C2^2xC6):2D6288,1033
(C22×C6)⋊3D6 = C22×C3⋊S4φ: D6/C2S3 ⊆ Aut C22×C636(C2^2xC6):3D6288,1034
(C22×C6)⋊4D6 = C3×C232D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6):4D6288,708
(C22×C6)⋊5D6 = C3×D46D6φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6):5D6288,994
(C22×C6)⋊6D6 = C62.125C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6):6D6288,631
(C22×C6)⋊7D6 = C6213D4φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6):7D6288,794
(C22×C6)⋊8D6 = C2×Dic3⋊D6φ: D6/C3C22 ⊆ Aut C22×C624(C2^2xC6):8D6288,977
(C22×C6)⋊9D6 = C32⋊2+ 1+4φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6):9D6288,978
(C22×C6)⋊10D6 = C2×D4×C3⋊S3φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6):10D6288,1007
(C22×C6)⋊11D6 = C3282+ 1+4φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6):11D6288,1009
(C22×C6)⋊12D6 = S3×C6×D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6):12D6288,992
(C22×C6)⋊13D6 = C2×S3×C3⋊D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6):13D6288,976
(C22×C6)⋊14D6 = S32×C23φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6):14D6288,1040
(C22×C6)⋊15D6 = C2×C6×C3⋊D4φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6):15D6288,1002
(C22×C6)⋊16D6 = C22×C327D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6):16D6288,1017
(C22×C6)⋊17D6 = C24×C3⋊S3φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6):17D6288,1044

Non-split extensions G=N.Q with N=C22×C6 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C22×C6).1D6 = Dic3.S4φ: D6/C1D6 ⊆ Aut C22×C6726-(C2^2xC6).1D6288,852
(C22×C6).2D6 = Dic3×S4φ: D6/C1D6 ⊆ Aut C22×C6366-(C2^2xC6).2D6288,853
(C22×C6).3D6 = Dic32S4φ: D6/C1D6 ⊆ Aut C22×C6366(C2^2xC6).3D6288,854
(C22×C6).4D6 = Dic3⋊S4φ: D6/C1D6 ⊆ Aut C22×C6366(C2^2xC6).4D6288,855
(C22×C6).5D6 = S3×A4⋊C4φ: D6/C1D6 ⊆ Aut C22×C6366(C2^2xC6).5D6288,856
(C22×C6).6D6 = D6⋊S4φ: D6/C1D6 ⊆ Aut C22×C6366(C2^2xC6).6D6288,857
(C22×C6).7D6 = A4⋊D12φ: D6/C1D6 ⊆ Aut C22×C6366+(C2^2xC6).7D6288,858
(C22×C6).8D6 = C3×A4⋊Q8φ: D6/C2S3 ⊆ Aut C22×C6726(C2^2xC6).8D6288,896
(C22×C6).9D6 = C12×S4φ: D6/C2S3 ⊆ Aut C22×C6363(C2^2xC6).9D6288,897
(C22×C6).10D6 = C3×C4⋊S4φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).10D6288,898
(C22×C6).11D6 = C6×A4⋊C4φ: D6/C2S3 ⊆ Aut C22×C672(C2^2xC6).11D6288,905
(C22×C6).12D6 = C3×A4⋊D4φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).12D6288,906
(C22×C6).13D6 = C12.1S4φ: D6/C2S3 ⊆ Aut C22×C6726-(C2^2xC6).13D6288,332
(C22×C6).14D6 = C4×C3.S4φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).14D6288,333
(C22×C6).15D6 = C22⋊D36φ: D6/C2S3 ⊆ Aut C22×C6366+(C2^2xC6).15D6288,334
(C22×C6).16D6 = C2×C6.S4φ: D6/C2S3 ⊆ Aut C22×C672(C2^2xC6).16D6288,341
(C22×C6).17D6 = C23.D18φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).17D6288,342
(C22×C6).18D6 = C22×C3.S4φ: D6/C2S3 ⊆ Aut C22×C636(C2^2xC6).18D6288,835
(C22×C6).19D6 = A4⋊Dic6φ: D6/C2S3 ⊆ Aut C22×C6726-(C2^2xC6).19D6288,907
(C22×C6).20D6 = C4×C3⋊S4φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).20D6288,908
(C22×C6).21D6 = C12⋊S4φ: D6/C2S3 ⊆ Aut C22×C6366+(C2^2xC6).21D6288,909
(C22×C6).22D6 = C2×C6.7S4φ: D6/C2S3 ⊆ Aut C22×C672(C2^2xC6).22D6288,916
(C22×C6).23D6 = (C2×C6)⋊4S4φ: D6/C2S3 ⊆ Aut C22×C6366(C2^2xC6).23D6288,917
(C22×C6).24D6 = C3×C23.6D6φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6).24D6288,240
(C22×C6).25D6 = C3×C23.7D6φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6).25D6288,268
(C22×C6).26D6 = C3×C23.8D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).26D6288,650
(C22×C6).27D6 = C3×C23.9D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).27D6288,654
(C22×C6).28D6 = C3×Dic3⋊D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).28D6288,655
(C22×C6).29D6 = C3×C23.11D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).29D6288,656
(C22×C6).30D6 = C3×C23.23D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).30D6288,706
(C22×C6).31D6 = C3×C23.12D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).31D6288,707
(C22×C6).32D6 = C3×D63D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).32D6288,709
(C22×C6).33D6 = C3×C23.14D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).33D6288,710
(C22×C6).34D6 = C3×C123D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).34D6288,711
(C22×C6).35D6 = C22.D36φ: D6/C3C22 ⊆ Aut C22×C6724(C2^2xC6).35D6288,13
(C22×C6).36D6 = C232Dic9φ: D6/C3C22 ⊆ Aut C22×C6724(C2^2xC6).36D6288,41
(C22×C6).37D6 = C23.16D18φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).37D6288,87
(C22×C6).38D6 = C222Dic18φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).38D6288,88
(C22×C6).39D6 = C23.8D18φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).39D6288,89
(C22×C6).40D6 = C22⋊C4×D9φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).40D6288,90
(C22×C6).41D6 = Dic94D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).41D6288,91
(C22×C6).42D6 = C223D36φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).42D6288,92
(C22×C6).43D6 = C23.9D18φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).43D6288,93
(C22×C6).44D6 = D18⋊D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).44D6288,94
(C22×C6).45D6 = Dic9.D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).45D6288,95
(C22×C6).46D6 = C22.4D36φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).46D6288,96
(C22×C6).47D6 = D4×Dic9φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).47D6288,144
(C22×C6).48D6 = C23.23D18φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).48D6288,145
(C22×C6).49D6 = C36.17D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).49D6288,146
(C22×C6).50D6 = C232D18φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).50D6288,147
(C22×C6).51D6 = C362D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).51D6288,148
(C22×C6).52D6 = Dic9⋊D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).52D6288,149
(C22×C6).53D6 = C36⋊D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).53D6288,150
(C22×C6).54D6 = C62.31D4φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6).54D6288,228
(C22×C6).55D6 = C62.32D4φ: D6/C3C22 ⊆ Aut C22×C6244(C2^2xC6).55D6288,229
(C22×C6).56D6 = C62.110D4φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).56D6288,281
(C22×C6).57D6 = C62.38D4φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).57D6288,309
(C22×C6).58D6 = C2×D4×D9φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).58D6288,356
(C22×C6).59D6 = C2×D42D9φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).59D6288,357
(C22×C6).60D6 = D46D18φ: D6/C3C22 ⊆ Aut C22×C6724(C2^2xC6).60D6288,358
(C22×C6).61D6 = C62.94C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).61D6288,600
(C22×C6).62D6 = C62.95C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).62D6288,601
(C22×C6).63D6 = C62.98C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).63D6288,604
(C22×C6).64D6 = C62.99C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).64D6288,605
(C22×C6).65D6 = C62.100C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).65D6288,606
(C22×C6).66D6 = C62.101C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).66D6288,607
(C22×C6).67D6 = C62.56D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).67D6288,609
(C22×C6).68D6 = C62.57D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).68D6288,610
(C22×C6).69D6 = C623Q8φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).69D6288,612
(C22×C6).70D6 = C62.60D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).70D6288,614
(C22×C6).71D6 = C62.111C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).71D6288,617
(C22×C6).72D6 = C62.112C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).72D6288,618
(C22×C6).73D6 = C62.113C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).73D6288,619
(C22×C6).74D6 = Dic3×C3⋊D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).74D6288,620
(C22×C6).75D6 = C62.115C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).75D6288,621
(C22×C6).76D6 = C62.116C23φ: D6/C3C22 ⊆ Aut C22×C624(C2^2xC6).76D6288,622
(C22×C6).77D6 = C62.117C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).77D6288,623
(C22×C6).78D6 = C626D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).78D6288,626
(C22×C6).79D6 = C62.121C23φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).79D6288,627
(C22×C6).80D6 = C627D4φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).80D6288,628
(C22×C6).81D6 = C628D4φ: D6/C3C22 ⊆ Aut C22×C624(C2^2xC6).81D6288,629
(C22×C6).82D6 = C624Q8φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).82D6288,630
(C22×C6).83D6 = C62.221C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).83D6288,734
(C22×C6).84D6 = C626Q8φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).84D6288,735
(C22×C6).85D6 = C62.223C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).85D6288,736
(C22×C6).86D6 = C22⋊C4×C3⋊S3φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).86D6288,737
(C22×C6).87D6 = C62.225C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).87D6288,738
(C22×C6).88D6 = C6212D4φ: D6/C3C22 ⊆ Aut C22×C672(C2^2xC6).88D6288,739
(C22×C6).89D6 = C62.227C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).89D6288,740
(C22×C6).90D6 = C62.228C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).90D6288,741
(C22×C6).91D6 = C62.229C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).91D6288,742
(C22×C6).92D6 = C62.69D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).92D6288,743
(C22×C6).93D6 = D4×C3⋊Dic3φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).93D6288,791
(C22×C6).94D6 = C62.72D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).94D6288,792
(C22×C6).95D6 = C62.254C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).95D6288,793
(C22×C6).96D6 = C62.256C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).96D6288,795
(C22×C6).97D6 = C6214D4φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).97D6288,796
(C22×C6).98D6 = C62.258C23φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).98D6288,797
(C22×C6).99D6 = C2×D6.3D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).99D6288,970
(C22×C6).100D6 = C2×D6.4D6φ: D6/C3C22 ⊆ Aut C22×C648(C2^2xC6).100D6288,971
(C22×C6).101D6 = C2×C12.D6φ: D6/C3C22 ⊆ Aut C22×C6144(C2^2xC6).101D6288,1008
(C22×C6).102D6 = C3×C23.16D6φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).102D6288,648
(C22×C6).103D6 = C3×Dic3.D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).103D6288,649
(C22×C6).104D6 = C3×S3×C22⋊C4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).104D6288,651
(C22×C6).105D6 = C3×Dic34D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).105D6288,652
(C22×C6).106D6 = C3×D6⋊D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).106D6288,653
(C22×C6).107D6 = C3×C23.21D6φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).107D6288,657
(C22×C6).108D6 = C3×D4×Dic3φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).108D6288,705
(C22×C6).109D6 = C6×D42S3φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).109D6288,993
(C22×C6).110D6 = C62.6Q8φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).110D6288,227
(C22×C6).111D6 = C2×Dic32φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).111D6288,602
(C22×C6).112D6 = C62.97C23φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).112D6288,603
(C22×C6).113D6 = C2×D6⋊Dic3φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).113D6288,608
(C22×C6).114D6 = C2×C6.D12φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).114D6288,611
(C22×C6).115D6 = C2×Dic3⋊Dic3φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).115D6288,613
(C22×C6).116D6 = C2×C62.C22φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).116D6288,615
(C22×C6).117D6 = S3×C6.D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).117D6288,616
(C22×C6).118D6 = C624D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).118D6288,624
(C22×C6).119D6 = C625D4φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).119D6288,625
(C22×C6).120D6 = C22×S3×Dic3φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).120D6288,969
(C22×C6).121D6 = C22×C6.D6φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).121D6288,972
(C22×C6).122D6 = C22×D6⋊S3φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).122D6288,973
(C22×C6).123D6 = C22×C3⋊D12φ: D6/S3C2 ⊆ Aut C22×C648(C2^2xC6).123D6288,974
(C22×C6).124D6 = C22×C322Q8φ: D6/S3C2 ⊆ Aut C22×C696(C2^2xC6).124D6288,975
(C22×C6).125D6 = C3×C12.48D4φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).125D6288,695
(C22×C6).126D6 = C3×C23.26D6φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).126D6288,697
(C22×C6).127D6 = C12×C3⋊D4φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).127D6288,699
(C22×C6).128D6 = C3×C23.28D6φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).128D6288,700
(C22×C6).129D6 = C3×C127D4φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).129D6288,701
(C22×C6).130D6 = C6×C6.D4φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).130D6288,723
(C22×C6).131D6 = C3×C244S3φ: D6/C6C2 ⊆ Aut C22×C624(C2^2xC6).131D6288,724
(C22×C6).132D6 = C6×C4○D12φ: D6/C6C2 ⊆ Aut C22×C648(C2^2xC6).132D6288,991
(C22×C6).133D6 = C18.C42φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).133D6288,38
(C22×C6).134D6 = C2×C4×Dic9φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).134D6288,132
(C22×C6).135D6 = C2×Dic9⋊C4φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).135D6288,133
(C22×C6).136D6 = C36.49D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).136D6288,134
(C22×C6).137D6 = C2×C4⋊Dic9φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).137D6288,135
(C22×C6).138D6 = C23.26D18φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).138D6288,136
(C22×C6).139D6 = C2×D18⋊C4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).139D6288,137
(C22×C6).140D6 = C4×C9⋊D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).140D6288,138
(C22×C6).141D6 = C23.28D18φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).141D6288,139
(C22×C6).142D6 = C367D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).142D6288,140
(C22×C6).143D6 = C2×C18.D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).143D6288,162
(C22×C6).144D6 = C244D9φ: D6/C6C2 ⊆ Aut C22×C672(C2^2xC6).144D6288,163
(C22×C6).145D6 = C62.15Q8φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).145D6288,306
(C22×C6).146D6 = C22×Dic18φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).146D6288,352
(C22×C6).147D6 = C22×C4×D9φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).147D6288,353
(C22×C6).148D6 = C22×D36φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).148D6288,354
(C22×C6).149D6 = C2×D365C2φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).149D6288,355
(C22×C6).150D6 = C23×Dic9φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).150D6288,365
(C22×C6).151D6 = C22×C9⋊D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).151D6288,366
(C22×C6).152D6 = C2×C4×C3⋊Dic3φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).152D6288,779
(C22×C6).153D6 = C2×C6.Dic6φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).153D6288,780
(C22×C6).154D6 = C6210Q8φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).154D6288,781
(C22×C6).155D6 = C2×C12⋊Dic3φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).155D6288,782
(C22×C6).156D6 = C62.247C23φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).156D6288,783
(C22×C6).157D6 = C2×C6.11D12φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).157D6288,784
(C22×C6).158D6 = C4×C327D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).158D6288,785
(C22×C6).159D6 = C62.129D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).159D6288,786
(C22×C6).160D6 = C6219D4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).160D6288,787
(C22×C6).161D6 = C2×C625C4φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).161D6288,809
(C22×C6).162D6 = C6224D4φ: D6/C6C2 ⊆ Aut C22×C672(C2^2xC6).162D6288,810
(C22×C6).163D6 = C24×D9φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).163D6288,839
(C22×C6).164D6 = C22×C324Q8φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).164D6288,1003
(C22×C6).165D6 = C22×C4×C3⋊S3φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).165D6288,1004
(C22×C6).166D6 = C22×C12⋊S3φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).166D6288,1005
(C22×C6).167D6 = C2×C12.59D6φ: D6/C6C2 ⊆ Aut C22×C6144(C2^2xC6).167D6288,1006
(C22×C6).168D6 = C23×C3⋊Dic3φ: D6/C6C2 ⊆ Aut C22×C6288(C2^2xC6).168D6288,1016
(C22×C6).169D6 = C3×C6.C42central extension (φ=1)96(C2^2xC6).169D6288,265
(C22×C6).170D6 = Dic3×C2×C12central extension (φ=1)96(C2^2xC6).170D6288,693
(C22×C6).171D6 = C6×Dic3⋊C4central extension (φ=1)96(C2^2xC6).171D6288,694
(C22×C6).172D6 = C6×C4⋊Dic3central extension (φ=1)96(C2^2xC6).172D6288,696
(C22×C6).173D6 = C6×D6⋊C4central extension (φ=1)96(C2^2xC6).173D6288,698
(C22×C6).174D6 = C2×C6×Dic6central extension (φ=1)96(C2^2xC6).174D6288,988
(C22×C6).175D6 = S3×C22×C12central extension (φ=1)96(C2^2xC6).175D6288,989
(C22×C6).176D6 = C2×C6×D12central extension (φ=1)96(C2^2xC6).176D6288,990
(C22×C6).177D6 = Dic3×C22×C6central extension (φ=1)96(C2^2xC6).177D6288,1001

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