Extensions 1→N→G→Q→1 with N=C₂×Dic₂₇ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₂₇ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₂₇		432		C2^2xDic27	432,51

Semidirect products G=N:Q with N=C₂×Dic₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₇)⋊₁C₂ = D₅₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	216		(C2xDic27):1C2	432,14
(C₂×Dic₂₇)⋊₂C₂ = C₅₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	216		(C2xDic27):2C2	432,19
(C₂×Dic₂₇)⋊₃C₂ = D₄⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	216	4-	(C2xDic27):3C2	432,48
(C₂×Dic₂₇)⋊₄C₂ = C₂×C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	216		(C2xDic27):4C2	432,52
(C₂×Dic₂₇)⋊₅C₂ = C₂×C₄×D₂₇	φ: trivial image	216		(C2xDic27):5C2	432,44

Non-split extensions G=N.Q with N=C₂×Dic₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₇).₁C₂ = Dic₂₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	432		(C2xDic27).1C2	432,12
(C₂×Dic₂₇).₂C₂ = C₄⋊Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	432		(C2xDic27).2C2	432,13
(C₂×Dic₂₇).₃C₂ = C₂×Dic₅₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₇	432		(C2xDic27).3C2	432,43
(C₂×Dic₂₇).₄C₂ = C₄×Dic₂₇	φ: trivial image	432		(C2xDic27).4C2	432,11

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