Extensions 1→N→G→Q→1 with N=D₄xD₅ and Q=C₂

Direct product G=NxQ with N=D₄xD₅ and Q=C₂

		d	ρ	Label	ID
C₂xD₄xD₅		40		C2xD4xD5	160,217

Semidirect products G=N:Q with N=D₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₅):₁C₂ = D₅xD₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4+	(D4xD5):1C2	160,131
(D₄xD₅):₂C₂ = D₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4	(D4xD5):2C2	160,132
(D₄xD₅):₃C₂ = D₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4+	(D4xD5):3C2	160,135
(D₄xD₅):₄C₂ = D₄:₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4	(D4xD5):4C2	160,219
(D₄xD₅):₅C₂ = D₄:₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4+	(D4xD5):5C2	160,224
(D₄xD₅):₆C₂ = D₅xC₄oD₄	φ: trivial image	40	4	(D4xD5):6C2	160,223

Non-split extensions G=N.Q with N=D₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₅).₁C₂ = D₅xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	4	(D4xD5).1C2	160,134
(D₄xD₅).₂C₂ = D₂₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	40	8+	(D4xD5).2C2	160,82
(D₄xD₅).₃C₂ = D₄xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xD₅	20	8+	(D4xD5).3C2	160,207

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