Extensions 1→N→G→Q→1 with N=C₂xDic₂₇ and Q=C₂

Direct product G=NxQ with N=C₂xDic₂₇ and Q=C₂

		d	ρ	Label	ID
C₂²xDic₂₇		432		C2^2xDic27	432,51

Semidirect products G=N:Q with N=C₂xDic₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₂₇):₁C₂ = D₅₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	216		(C2xDic27):1C2	432,14
(C₂xDic₂₇):₂C₂ = C₅₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	216		(C2xDic27):2C2	432,19
(C₂xDic₂₇):₃C₂ = D₄:₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	216	4-	(C2xDic27):3C2	432,48
(C₂xDic₂₇):₄C₂ = C₂xC₂₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	216		(C2xDic27):4C2	432,52
(C₂xDic₂₇):₅C₂ = C₂xC₄xD₂₇	φ: trivial image	216		(C2xDic27):5C2	432,44

Non-split extensions G=N.Q with N=C₂xDic₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₂₇).₁C₂ = Dic₂₇:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	432		(C2xDic27).1C2	432,12
(C₂xDic₂₇).₂C₂ = C₄:Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	432		(C2xDic27).2C2	432,13
(C₂xDic₂₇).₃C₂ = C₂xDic₅₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₇	432		(C2xDic27).3C2	432,43
(C₂xDic₂₇).₄C₂ = C₄xDic₂₇	φ: trivial image	432		(C2xDic27).4C2	432,11

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