Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=C₄

Direct product G=NxQ with N=C₄xD₅ and Q=C₄

		d	ρ	Label	ID
D₅xC₄²		80		D5xC4^2	160,92

Semidirect products G=N:Q with N=C₄xD₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅):₁C₄ = D₅xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5):1C4	160,112
(C₄xD₅):₂C₄ = C₄:C₄:₇D₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5):2C4	160,113
(C₄xD₅):₃C₄ = C₄²:D₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5):3C4	160,93
(C₄xD₅):₄C₄ = C₂xC₄:F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	40		(C4xD5):4C4	160,204
(C₄xD₅):₅C₄ = C₂xC₄xF₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	40		(C4xD5):5C4	160,203
(C₄xD₅):₆C₄ = D₁₀.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5):6C4	160,205

Non-split extensions G=N.Q with N=C₄xD₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅).₁C₄ = D₅xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5).1C4	160,127
(C₄xD₅).₂C₄ = C₈₀:C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80	2	(C4xD5).2C4	160,5
(C₄xD₅).₃C₄ = C₂xC₈:D₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).3C4	160,121
(C₄xD₅).₄C₄ = C₂xC₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).4C4	160,201
(C₄xD₅).₅C₄ = D₅:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).5C4	160,64
(C₄xD₅).₆C₄ = C₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).6C4	160,65
(C₄xD₅).₇C₄ = C₂xD₅:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).7C4	160,200
(C₄xD₅).₈C₄ = D₅:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5).8C4	160,202
(C₄xD₅).₉C₄ = D₅xC₁₆	φ: trivial image	80	2	(C4xD5).9C4	160,4
(C₄xD₅).₁₀C₄ = D₅xC₂xC₈	φ: trivial image	80		(C4xD5).10C4	160,120

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