Extensions 1→N→G→Q→1 with N=C₄×D₂₇ and Q=C₂

Direct product G=N×Q with N=C₄×D₂₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₂₇		216		C2xC4xD27	432,44

Semidirect products G=N:Q with N=C₄×D₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₇)⋊₁C₂ = D₄×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	108	4+	(C4xD27):1C2	432,47
(C₄×D₂₇)⋊₂C₂ = D₄⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	216	4-	(C4xD27):2C2	432,48
(C₄×D₂₇)⋊₃C₂ = Q₈⋊₃D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	216	4+	(C4xD27):3C2	432,50
(C₄×D₂₇)⋊₄C₂ = D₁₀₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	216	2	(C4xD27):4C2	432,46

Non-split extensions G=N.Q with N=C₄×D₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₇).₁C₂ = Q₈×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	216	4-	(C4xD27).1C2	432,49
(C₄×D₂₇).₂C₂ = C₈⋊D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₇	216	2	(C4xD27).2C2	432,6
(C₄×D₂₇).₃C₂ = C₈×D₂₇	φ: trivial image	216	2	(C4xD27).3C2	432,5

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