Extensions 1→N→G→Q→1 with N=D₅₄ and Q=C₂

Direct product G=N×Q with N=D₅₄ and Q=C₂

		d	ρ	Label	ID
C₂²×D₂₇		108		C2^2xD27	216,23

Semidirect products G=N:Q with N=D₅₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄⋊₁C₂ = D₁₀₈	φ: C₂/C₁ → C₂ ⊆ Out D₅₄	108	2+	D54:1C2	216,6
D₅₄⋊₂C₂ = C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₄	108	2	D54:2C2	216,8

Non-split extensions G=N.Q with N=D₅₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄.C₂ = C₄×D₂₇	φ: trivial image	108	2	D54.C2	216,5

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Extensions 1→N→G→Q→1 with N=D54 and Q=C2