Extensions 1→N→G→Q→1 with N=D₄×C₂₇ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₇ and Q=C₂

		d	ρ	Label	ID
D₄×C₅₄		216		D4xC54	432,54

Semidirect products G=N:Q with N=D₄×C₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₇)⋊₁C₂ = D₄⋊D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	216	4+	(D4xC27):1C2	432,16
(D₄×C₂₇)⋊₂C₂ = D₄×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	108	4+	(D4xC27):2C2	432,47
(D₄×C₂₇)⋊₃C₂ = D₄⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	216	4-	(D4xC27):3C2	432,48
(D₄×C₂₇)⋊₄C₂ = D₈×C₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	216	2	(D4xC27):4C2	432,25
(D₄×C₂₇)⋊₅C₂ = C₄○D₄×C₂₇	φ: trivial image	216	2	(D4xC27):5C2	432,56

Non-split extensions G=N.Q with N=D₄×C₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₇).₁C₂ = D₄.D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	216	4-	(D4xC27).1C2	432,15
(D₄×C₂₇).₂C₂ = SD₁₆×C₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₇	216	2	(D4xC27).2C2	432,26

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