Extensions 1→N→G→Q→1 with N=C₅xD₄ and Q=C₄

Direct product G=NxQ with N=C₅xD₄ and Q=C₄

		d	ρ	Label	ID
D₄xC₂₀		80		D4xC20	160,179

Semidirect products G=N:Q with N=C₅xD₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xD₄):₁C₄ = D₂₀:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅xD₄	40	8+	(C5xD4):1C4	160,82
(C₅xD₄):₂C₄ = D₄:F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xD₄	40	8-	(C5xD4):2C4	160,83
(C₅xD₄):₃C₄ = D₄xF₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xD₄	20	8+	(C5xD4):3C4	160,207
(C₅xD₄):₄C₄ = D₄:Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	80		(C5xD4):4C4	160,39
(C₅xD₄):₅C₄ = D₄:₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	40	4	(C5xD4):5C4	160,44
(C₅xD₄):₆C₄ = D₄xDic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	80		(C5xD4):6C4	160,155
(C₅xD₄):₇C₄ = C₅xD₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	80		(C5xD4):7C4	160,52
(C₅xD₄):₈C₄ = C₅xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	40	2	(C5xD4):8C4	160,54

Non-split extensions G=N.Q with N=C₅xD₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xD₄).C₄ = D₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xD₄	80	8-	(C5xD4).C4	160,206
(C₅xD₄).₂C₄ = D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xD₄	80	4	(C5xD4).2C4	160,169
(C₅xD₄).₃C₄ = C₅xC₈oD₄	φ: trivial image	80	2	(C5xD4).3C4	160,192

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