Extensions 1→N→G→Q→1 with N=D₄×D₅ and Q=C₂

Direct product G=N×Q with N=D₄×D₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₅		40		C2xD4xD5	160,217

Semidirect products G=N:Q with N=D₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅)⋊₁C₂ = D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4+	(D4xD5):1C2	160,131
(D₄×D₅)⋊₂C₂ = D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4	(D4xD5):2C2	160,132
(D₄×D₅)⋊₃C₂ = D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4+	(D4xD5):3C2	160,135
(D₄×D₅)⋊₄C₂ = D₄⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4	(D4xD5):4C2	160,219
(D₄×D₅)⋊₅C₂ = D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4+	(D4xD5):5C2	160,224
(D₄×D₅)⋊₆C₂ = D₅×C₄○D₄	φ: trivial image	40	4	(D4xD5):6C2	160,223

Non-split extensions G=N.Q with N=D₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅).₁C₂ = D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	4	(D4xD5).1C2	160,134
(D₄×D₅).₂C₂ = D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	40	8+	(D4xD5).2C2	160,82
(D₄×D₅).₃C₂ = D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₅	20	8+	(D4xD5).3C2	160,207

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