Extensions 1→N→G→Q→1 with N=D₄ and Q=Dic₅

Direct product G=N×Q with N=D₄ and Q=Dic₅

		d	ρ	Label	ID
D₄×Dic₅		80		D4xDic5	160,155

Semidirect products G=N:Q with N=D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Dic₅ = D₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₄	80		D4:1Dic5	160,39
D₄⋊₂Dic₅ = D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₄	40	4	D4:2Dic5	160,44

Non-split extensions G=N.Q with N=D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.Dic₅ = D₄.Dic₅	φ: trivial image	80	4	D4.Dic5	160,169

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Extensions 1→N→G→Q→1 with N=D4 and Q=Dic5