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Extensions 1→N→G→Q→1 with N=C6×Dic6 and Q=C2

Direct product G=N×Q with N=C6×Dic6 and Q=C2
dρLabelID
C2×C6×Dic696C2xC6xDic6288,988

Semidirect products G=N:Q with N=C6×Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Dic6)⋊1C2 = C2×Dic6⋊S3φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):1C2288,474
(C6×Dic6)⋊2C2 = D12.32D6φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):2C2288,475
(C6×Dic6)⋊3C2 = C2×C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):3C2288,480
(C6×Dic6)⋊4C2 = Dic6.29D6φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):4C2288,481
(C6×Dic6)⋊5C2 = D6⋊6Dic6φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):5C2288,504
(C6×Dic6)⋊6C2 = C62.33C23φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):6C2288,511
(C6×Dic6)⋊7C2 = C12.28D12φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):7C2288,512
(C6×Dic6)⋊8C2 = C12.30D12φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):8C2288,519
(C6×Dic6)⋊9C2 = D6⋊1Dic6φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):9C2288,535
(C6×Dic6)⋊10C2 = C62.58C23φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):10C2288,536
(C6×Dic6)⋊11C2 = C62.77C23φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):11C2288,555
(C6×Dic6)⋊12C2 = C3×C4.D12φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):12C2288,668
(C6×Dic6)⋊13C2 = C3×C8.D6φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):13C2288,680
(C6×Dic6)⋊14C2 = C6×D4.S3φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):14C2288,704
(C6×Dic6)⋊15C2 = C3×C23.12D6φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):15C2288,707
(C6×Dic6)⋊16C2 = C3×Q8.14D6φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):16C2288,722
(C6×Dic6)⋊17C2 = C2×S3×Dic6φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):17C2288,942
(C6×Dic6)⋊18C2 = C2×D12⋊S3φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):18C2288,944
(C6×Dic6)⋊19C2 = D12.33D6φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):19C2288,945
(C6×Dic6)⋊20C2 = C2×Dic3.D6φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):20C2288,947
(C6×Dic6)⋊21C2 = C2×D6.6D6φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):21C2288,949
(C6×Dic6)⋊22C2 = C6×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):22C2288,993
(C6×Dic6)⋊23C2 = S3×C6×Q8φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):23C2288,995
(C6×Dic6)⋊24C2 = C3×Q8○D12φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6):24C2288,1000
(C6×Dic6)⋊25C2 = C3×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):25C2288,646
(C6×Dic6)⋊26C2 = C3×Dic3.D4φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):26C2288,649
(C6×Dic6)⋊27C2 = C3×C23.11D6φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):27C2288,656
(C6×Dic6)⋊28C2 = C3×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):28C2288,667
(C6×Dic6)⋊29C2 = C6×C24⋊C2φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6):29C2288,673
(C6×Dic6)⋊30C2 = C3×C12.48D4φ: C2/C1 → C2 ⊆ Out C6×Dic648(C6xDic6):30C2288,695
(C6×Dic6)⋊31C2 = C6×C4○D12φ: trivial image48(C6xDic6):31C2288,991

Non-split extensions G=N.Q with N=C6×Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Dic6).1C2 = C12.14D12φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6).1C2288,208
(C6×Dic6).2C2 = Dic6⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).2C2288,213
(C6×Dic6).3C2 = C6.Dic12φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).3C2288,214
(C6×Dic6).4C2 = C3×C6.SD16φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).4C2288,244
(C6×Dic6).5C2 = C3×C12.47D4φ: C2/C1 → C2 ⊆ Out C6×Dic6484(C6xDic6).5C2288,258
(C6×Dic6).6C2 = C2×C32⋊2Q16φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).6C2288,482
(C6×Dic6).7C2 = C2×C32⋊3Q16φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).7C2288,483
(C6×Dic6).8C2 = C62.9C23φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).8C2288,487
(C6×Dic6).9C2 = Dic3×Dic6φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).9C2288,490
(C6×Dic6).10C2 = C62.13C23φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).10C2288,491
(C6×Dic6).11C2 = Dic3⋊Dic6φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).11C2288,514
(C6×Dic6).12C2 = C62.43C23φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).12C2288,521
(C6×Dic6).13C2 = C3×Dic6⋊C4φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).13C2288,658
(C6×Dic6).14C2 = C6×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).14C2288,714
(C6×Dic6).15C2 = C3×Dic3⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).15C2288,715
(C6×Dic6).16C2 = C3×C2.Dic12φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).16C2288,250
(C6×Dic6).17C2 = C3×C12⋊2Q8φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).17C2288,640
(C6×Dic6).18C2 = C3×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).18C2288,659
(C6×Dic6).19C2 = C6×Dic12φ: C2/C1 → C2 ⊆ Out C6×Dic696(C6xDic6).19C2288,676
(C6×Dic6).20C2 = C12×Dic6φ: trivial image96(C6xDic6).20C2288,639

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