Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₇

Direct product G=N×Q with N=D₄ and Q=D₂₇

		d	ρ	Label	ID
D₄×D₂₇		108	4+	D4xD27	432,47

Semidirect products G=N:Q with N=D₄ and Q=D₂₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₂₇ = D₄⋊D₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Out D₄	216	4+	D4:D27	432,16
D₄⋊₂D₂₇ = D₄⋊₂D₂₇	φ: trivial image	216	4-	D4:2D27	432,48

Non-split extensions G=N.Q with N=D₄ and Q=D₂₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₂₇ = D₄.D₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Out D₄	216	4-	D4.D27	432,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D27