Extensions 1→N→G→Q→1 with N=D₄×F₅ and Q=C₂

Direct product G=N×Q with N=D₄×F₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×F₅		40		C2xD4xF5	320,1595

Semidirect products G=N:Q with N=D₄×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×F₅)⋊₁C₂ = D₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8+	(D4xF5):1C2	320,1068
(D₄×F₅)⋊₂C₂ = D₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8+	(D4xF5):2C2	320,1069
(D₄×F₅)⋊₃C₂ = D₁₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8+	(D4xF5):3C2	320,1596
(D₄×F₅)⋊₄C₂ = D₅.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8	(D4xF5):4C2	320,1604
(D₄×F₅)⋊₅C₂ = C₄○D₄×F₅	φ: trivial image	40	8	(D4xF5):5C2	320,1603

Non-split extensions G=N.Q with N=D₄×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×F₅).₁C₂ = SD₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8	(D4xF5).1C2	320,1072
(D₄×F₅).₂C₂ = SD₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×F₅	40	8	(D4xF5).2C2	320,1073

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