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

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

		d	ρ	Label	ID
C₂×Dic₂₇		216		C2xDic27	216,7

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₇⋊C₂ = C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₇	108	2	Dic27:C2	216,8
Dic₂₇⋊₂C₂ = C₄×D₂₇	φ: trivial image	108	2	Dic27:2C2	216,5

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₇.C₂ = Dic₅₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₇	216	2-	Dic27.C2	216,4

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