Extensions 1→N→G→Q→1 with N=D₄xC₂₇ and Q=C₂

Direct product G=NxQ with N=D₄xC₂₇ and Q=C₂

		d	ρ	Label	ID
D₄xC₅₄		216		D4xC54	432,54

Semidirect products G=N:Q with N=D₄xC₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₇):₁C₂ = D₄:D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	216	4+	(D4xC27):1C2	432,16
(D₄xC₂₇):₂C₂ = D₄xD₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	108	4+	(D4xC27):2C2	432,47
(D₄xC₂₇):₃C₂ = D₄:₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	216	4-	(D4xC27):3C2	432,48
(D₄xC₂₇):₄C₂ = D₈xC₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	216	2	(D4xC27):4C2	432,25
(D₄xC₂₇):₅C₂ = C₄oD₄xC₂₇	φ: trivial image	216	2	(D4xC27):5C2	432,56

Non-split extensions G=N.Q with N=D₄xC₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₇).₁C₂ = D₄.D₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	216	4-	(D4xC27).1C2	432,15
(D₄xC₂₇).₂C₂ = SD₁₆xC₂₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₇	216	2	(D4xC27).2C2	432,26

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