Extensions 1→N→G→Q→1 with N=C₂²×D₂₇ and Q=C₂

Direct product G=N×Q with N=C₂²×D₂₇ and Q=C₂

		d	ρ	Label	ID
C₂³×D₂₇		216		C2^3xD27	432,227

Semidirect products G=N:Q with N=C₂²×D₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₇)⋊₁C₂ = C₂×D₁₀₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₇	216		(C2^2xD27):1C2	432,45
(C₂²×D₂₇)⋊₂C₂ = D₄×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₇	108	4+	(C2^2xD27):2C2	432,47
(C₂²×D₂₇)⋊₃C₂ = C₂×C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₇	216		(C2^2xD27):3C2	432,52

Non-split extensions G=N.Q with N=C₂²×D₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₇).C₂ = D₅₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₇	216		(C2^2xD27).C2	432,14
(C₂²×D₂₇).₂C₂ = C₂×C₄×D₂₇	φ: trivial image	216		(C2^2xD27).2C2	432,44

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Extensions 1→N→G→Q→1 with N=C22×D27 and Q=C2