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Extensions 1→N→G→Q→1 with N=C22×C3⋊Dic3 and Q=C2

Direct product G=N×Q with N=C22×C3⋊Dic3 and Q=C2
dρLabelID
C23×C3⋊Dic3288C2^3xC3:Dic3288,1016

Semidirect products G=N:Q with N=C22×C3⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊Dic3)⋊1C2 = C2×D6⋊Dic3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3):1C2288,608
(C22×C3⋊Dic3)⋊2C2 = C62.57D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3):2C2288,610
(C22×C3⋊Dic3)⋊3C2 = C62.115C23φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3):3C2288,621
(C22×C3⋊Dic3)⋊4C2 = C62⋊7D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3):4C2288,628
(C22×C3⋊Dic3)⋊5C2 = C62.225C23φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):5C2288,738
(C22×C3⋊Dic3)⋊6C2 = C62.69D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):6C2288,743
(C22×C3⋊Dic3)⋊7C2 = C2×C6.11D12φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):7C2288,784
(C22×C3⋊Dic3)⋊8C2 = D4×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):8C2288,791
(C22×C3⋊Dic3)⋊9C2 = C62.72D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):9C2288,792
(C22×C3⋊Dic3)⋊10C2 = C62⋊14D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):10C2288,796
(C22×C3⋊Dic3)⋊11C2 = C2×C62⋊5C4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):11C2288,809
(C22×C3⋊Dic3)⋊12C2 = C22×S3×Dic3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3):12C2288,969
(C22×C3⋊Dic3)⋊13C2 = C2×D6.4D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3):13C2288,971
(C22×C3⋊Dic3)⋊14C2 = C22×D6⋊S3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3):14C2288,973
(C22×C3⋊Dic3)⋊15C2 = C2×C12.D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):15C2288,1008
(C22×C3⋊Dic3)⋊16C2 = C22×C32⋊7D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3):16C2288,1017
(C22×C3⋊Dic3)⋊17C2 = C22×C4×C3⋊S3φ: trivial image144(C2^2xC3:Dic3):17C2288,1004

Non-split extensions G=N.Q with N=C22×C3⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊Dic3).1C2 = C62.6Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).1C2288,227
(C22×C3⋊Dic3).2C2 = C62.15Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3288(C2^2xC3:Dic3).2C2288,306
(C22×C3⋊Dic3).3C2 = C62⋊3C8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3).3C2288,435
(C22×C3⋊Dic3).4C2 = C2×Dic32φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).4C2288,602
(C22×C3⋊Dic3).5C2 = C62.99C23φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3).5C2288,605
(C22×C3⋊Dic3).6C2 = C2×Dic3⋊Dic3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).6C2288,613
(C22×C3⋊Dic3).7C2 = C2×C62.C22φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).7C2288,615
(C22×C3⋊Dic3).8C2 = C62⋊4Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3).8C2288,630
(C22×C3⋊Dic3).9C2 = C62.221C23φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3).9C2288,734
(C22×C3⋊Dic3).10C2 = C62⋊6Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3144(C2^2xC3:Dic3).10C2288,735
(C22×C3⋊Dic3).11C2 = C2×C6.Dic6φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3288(C2^2xC3:Dic3).11C2288,780
(C22×C3⋊Dic3).12C2 = C2×C12⋊Dic3φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3288(C2^2xC3:Dic3).12C2288,782
(C22×C3⋊Dic3).13C2 = C22×C32⋊2C8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).13C2288,939
(C22×C3⋊Dic3).14C2 = C2×C62.C4φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic348(C2^2xC3:Dic3).14C2288,940
(C22×C3⋊Dic3).15C2 = C22×C32⋊2Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic396(C2^2xC3:Dic3).15C2288,975
(C22×C3⋊Dic3).16C2 = C22×C32⋊4Q8φ: C2/C1 → C2 ⊆ Out C22×C3⋊Dic3288(C2^2xC3:Dic3).16C2288,1003
(C22×C3⋊Dic3).17C2 = C2×C4×C3⋊Dic3φ: trivial image288(C2^2xC3:Dic3).17C2288,779

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