Extensions 1→N→G→Q→1 with N=D₄ and Q=D₅

Direct product G=N×Q with N=D₄ and Q=D₅

		d	ρ	Label	ID
D₄×D₅		20	4+	D4xD5	80,39

Semidirect products G=N:Q with N=D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₅ = D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out D₄	40	4+	D4:D5	80,15
D₄⋊₂D₅ = D₄⋊₂D₅	φ: trivial image	40	4-	D4:2D5	80,40

Non-split extensions G=N.Q with N=D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₅ = D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₄	40	4-	D4.D5	80,16

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Extensions 1→N→G→Q→1 with N=D4 and Q=D5