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Extensions 1→N→G→Q→1 with N=C4×C3⋊S3 and Q=C22

Direct product G=N×Q with N=C4×C3⋊S3 and Q=C22
dρLabelID
C22×C4×C3⋊S3144C2^2xC4xC3:S3288,1004

Semidirect products G=N:Q with N=C4×C3⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3)⋊1C22 = D12⋊24D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3):1C2^2288,955
(C4×C3⋊S3)⋊2C22 = S32×D4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3):2C2^2288,958
(C4×C3⋊S3)⋊3C22 = S3×D4⋊2S3φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3):3C2^2288,959
(C4×C3⋊S3)⋊4C22 = D12⋊12D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3):4C2^2288,961
(C4×C3⋊S3)⋊5C22 = D12⋊13D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3):5C2^2288,962
(C4×C3⋊S3)⋊6C22 = S3×Q8⋊3S3φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3):6C2^2288,966
(C4×C3⋊S3)⋊7C22 = D12⋊16D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3):7C2^2288,968
(C4×C3⋊S3)⋊8C22 = C32⋊82+ 1+4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S372(C4xC3:S3):8C2^2288,1009
(C4×C3⋊S3)⋊9C22 = C62.154C23φ: C22/C1 → C22 ⊆ Out C4×C3⋊S372(C4xC3:S3):9C2^2288,1014
(C4×C3⋊S3)⋊10C22 = S3×C4○D12φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3):10C2^2288,953
(C4×C3⋊S3)⋊11C22 = C2×D12⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):11C2^2288,944
(C4×C3⋊S3)⋊12C22 = C2×D6⋊D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):12C2^2288,952
(C4×C3⋊S3)⋊13C22 = D12⋊23D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3):13C2^2288,954
(C4×C3⋊S3)⋊14C22 = C2×D4×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3):14C2^2288,1007
(C4×C3⋊S3)⋊15C22 = C2×C12.D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):15C2^2288,1008
(C4×C3⋊S3)⋊16C22 = C2×C12.26D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):16C2^2288,1011
(C4×C3⋊S3)⋊17C22 = C4○D4×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3):17C2^2288,1013
(C4×C3⋊S3)⋊18C22 = C2×D6.D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):18C2^2288,948
(C4×C3⋊S3)⋊19C22 = S32×C2×C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):19C2^2288,950
(C4×C3⋊S3)⋊20C22 = C2×C12.59D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):20C2^2288,1006

Non-split extensions G=N.Q with N=C4×C3⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3).1C22 = C4.S3≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).1C2^2288,375
(C4×C3⋊S3).2C22 = (C3×C12).D4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).2C2^2288,376
(C4×C3⋊S3).3C22 = C3⋊S3.2D8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).3C2^2288,377
(C4×C3⋊S3).4C22 = C3⋊S3.2Q16φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).4C2^2288,378
(C4×C3⋊S3).5C22 = C3⋊S3.5D8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).5C2^2288,430
(C4×C3⋊S3).6C22 = C32⋊6C4≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).6C2^2288,431
(C4×C3⋊S3).7C22 = C3⋊S3.5Q16φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).7C2^2288,432
(C4×C3⋊S3).8C22 = C32⋊7C4≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).8C2^2288,433
(C4×C3⋊S3).9C22 = C24⋊6D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).9C2^2288,446
(C4×C3⋊S3).10C22 = D12.4D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).10C2^2288,459
(C4×C3⋊S3).11C22 = D12⋊D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).11C2^2288,574
(C4×C3⋊S3).12C22 = D12.D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).12C2^2288,575
(C4×C3⋊S3).13C22 = Dic6⋊D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).13C2^2288,578
(C4×C3⋊S3).14C22 = Dic6.D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).14C2^2288,579
(C4×C3⋊S3).15C22 = D12.8D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).15C2^2288,584
(C4×C3⋊S3).16C22 = D12⋊5D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).16C2^2288,585
(C4×C3⋊S3).17C22 = D12.9D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).17C2^2288,588
(C4×C3⋊S3).18C22 = D12.10D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).18C2^2288,589
(C4×C3⋊S3).19C22 = Dic6.9D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).19C2^2288,592
(C4×C3⋊S3).20C22 = Dic6.10D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).20C2^2288,593
(C4×C3⋊S3).21C22 = D12.14D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).21C2^2288,598
(C4×C3⋊S3).22C22 = D12.15D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).22C2^2288,599
(C4×C3⋊S3).23C22 = C24⋊8D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S372(C4xC3:S3).23C2^2288,768
(C4×C3⋊S3).24C22 = C24⋊7D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S372(C4xC3:S3).24C2^2288,771
(C4×C3⋊S3).25C22 = C24.32D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3144(C4xC3:S3).25C2^2288,772
(C4×C3⋊S3).26C22 = C24.35D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3144(C4xC3:S3).26C2^2288,775
(C4×C3⋊S3).27C22 = S32⋊Q8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).27C2^2288,868
(C4×C3⋊S3).28C22 = C4.4S3≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).28C2^2288,869
(C4×C3⋊S3).29C22 = C32⋊C4⋊Q8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).29C2^2288,870
(C4×C3⋊S3).30C22 = C32⋊D8⋊C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).30C2^2288,872
(C4×C3⋊S3).31C22 = C3⋊S3⋊D8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).31C2^2288,873
(C4×C3⋊S3).32C22 = C32⋊Q16⋊C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).32C2^2288,874
(C4×C3⋊S3).33C22 = C3⋊S3⋊2SD16φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).33C2^2288,875
(C4×C3⋊S3).34C22 = C3⋊S3⋊Q16φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).34C2^2288,876
(C4×C3⋊S3).35C22 = S32⋊D4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).35C2^2288,878
(C4×C3⋊S3).36C22 = C4⋊S3≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).36C2^2288,879
(C4×C3⋊S3).37C22 = C62.(C2×C4)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).37C2^2288,935
(C4×C3⋊S3).38C22 = D4×C32⋊C4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).38C2^2288,936
(C4×C3⋊S3).39C22 = C12⋊S3.C4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).39C2^2288,937
(C4×C3⋊S3).40C22 = Q8×C32⋊C4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).40C2^2288,938
(C4×C3⋊S3).41C22 = D12.33D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).41C2^2288,945
(C4×C3⋊S3).42C22 = Dic6.24D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).42C2^2288,957
(C4×C3⋊S3).43C22 = Dic6⋊12D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3248+(C4xC3:S3).43C2^2288,960
(C4×C3⋊S3).44C22 = D12.25D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).44C2^2288,963
(C4×C3⋊S3).45C22 = Dic6.26D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488+(C4xC3:S3).45C2^2288,964
(C4×C3⋊S3).46C22 = S32×Q8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).46C2^2288,965
(C4×C3⋊S3).47C22 = D12⋊15D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488-(C4xC3:S3).47C2^2288,967
(C4×C3⋊S3).48C22 = C32⋊72- 1+4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3144(C4xC3:S3).48C2^2288,1012
(C4×C3⋊S3).49C22 = C32⋊92- 1+4φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3144(C4xC3:S3).49C2^2288,1015
(C4×C3⋊S3).50C22 = S32⋊C8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).50C2^2288,374
(C4×C3⋊S3).51C22 = C32⋊C4≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).51C2^2288,379
(C4×C3⋊S3).52C22 = C32⋊C4⋊C8φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).52C2^2288,380
(C4×C3⋊S3).53C22 = C4.19S3≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).53C2^2288,381
(C4×C3⋊S3).54C22 = C4.4PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488(C4xC3:S3).54C2^2288,392
(C4×C3⋊S3).55C22 = C4.PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488(C4xC3:S3).55C2^2288,393
(C4×C3⋊S3).56C22 = C4.2PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488(C4xC3:S3).56C2^2288,394
(C4×C3⋊S3).57C22 = S3×C8⋊S3φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).57C2^2288,438
(C4×C3⋊S3).58C22 = C24.64D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).58C2^2288,452
(C4×C3⋊S3).59C22 = C3⋊C8.22D6φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).59C2^2288,465
(C4×C3⋊S3).60C22 = C32⋊D8⋊5C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3484(C4xC3:S3).60C2^2288,871
(C4×C3⋊S3).61C22 = C4×S3≀C2φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3244(C4xC3:S3).61C2^2288,877
(C4×C3⋊S3).62C22 = C4.3PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3488(C4xC3:S3).62C2^2288,891
(C4×C3⋊S3).63C22 = C4×PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3368(C4xC3:S3).63C2^2288,892
(C4×C3⋊S3).64C22 = C4⋊PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C4×C3⋊S3368(C4xC3:S3).64C2^2288,893
(C4×C3⋊S3).65C22 = C24⋊9D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).65C2^2288,444
(C4×C3⋊S3).66C22 = C24⋊4D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).66C2^2288,445
(C4×C3⋊S3).67C22 = C24.23D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).67C2^2288,450
(C4×C3⋊S3).68C22 = D12.2D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).68C2^2288,457
(C4×C3⋊S3).69C22 = D24⋊5S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).69C2^2288,458
(C4×C3⋊S3).70C22 = D8×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3).70C2^2288,767
(C4×C3⋊S3).71C22 = C24.26D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).71C2^2288,769
(C4×C3⋊S3).72C22 = SD16×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3).72C2^2288,770
(C4×C3⋊S3).73C22 = C24.40D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).73C2^2288,773
(C4×C3⋊S3).74C22 = Q16×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).74C2^2288,774
(C4×C3⋊S3).75C22 = C24.28D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).75C2^2288,776
(C4×C3⋊S3).76C22 = C2×Dic3.D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).76C2^2288,947
(C4×C3⋊S3).77C22 = C2×Q8×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).77C2^2288,1010
(C4×C3⋊S3).78C22 = C8×C32⋊C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).78C2^2288,414
(C4×C3⋊S3).79C22 = (C3×C24)⋊C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).79C2^2288,415
(C4×C3⋊S3).80C22 = C8⋊(C32⋊C4)φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).80C2^2288,416
(C4×C3⋊S3).81C22 = C3⋊S3.4D8φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).81C2^2288,417
(C4×C3⋊S3).82C22 = (C3×C24).C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).82C2^2288,418
(C4×C3⋊S3).83C22 = C8.(C32⋊C4)φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).83C2^2288,419
(C4×C3⋊S3).84C22 = S32×C8φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).84C2^2288,437
(C4×C3⋊S3).85C22 = C24⋊D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).85C2^2288,439
(C4×C3⋊S3).86C22 = C24.63D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).86C2^2288,451
(C4×C3⋊S3).87C22 = C24.D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).87C2^2288,453
(C4×C3⋊S3).88C22 = C2×C12.29D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).88C2^2288,464
(C4×C3⋊S3).89C22 = C3⋊C8⋊20D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3).89C2^2288,466
(C4×C3⋊S3).90C22 = C2×C12.31D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).90C2^2288,468
(C4×C3⋊S3).91C22 = C2×C24⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).91C2^2288,757
(C4×C3⋊S3).92C22 = C24.95D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).92C2^2288,758
(C4×C3⋊S3).93C22 = M4(2)×C3⋊S3φ: C22/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3).93C2^2288,763
(C4×C3⋊S3).94C22 = C24.47D6φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).94C2^2288,764
(C4×C3⋊S3).95C22 = C2×C3⋊S3⋊3C8φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).95C2^2288,929
(C4×C3⋊S3).96C22 = C2×C32⋊M4(2)φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).96C2^2288,930
(C4×C3⋊S3).97C22 = C3⋊S3⋊M4(2)φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3).97C2^2288,931
(C4×C3⋊S3).98C22 = C2×C4×C32⋊C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).98C2^2288,932
(C4×C3⋊S3).99C22 = C2×C4⋊(C32⋊C4)φ: C22/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).99C2^2288,933
(C4×C3⋊S3).100C22 = (C6×C12)⋊5C4φ: C22/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3).100C2^2288,934
(C4×C3⋊S3).101C22 = C2×C8×C3⋊S3φ: trivial image144(C4xC3:S3).101C2^2288,756

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