Extensions 1→N→G→Q→1 with N=C₂²xD₅ and Q=C₂

Direct product G=NxQ with N=C₂²xD₅ and Q=C₂

		d	ρ	Label	ID
C₂³xD₅		40		C2^3xD5	80,51

Semidirect products G=N:Q with N=C₂²xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₅):₁C₂ = C₂xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	40		(C2^2xD5):1C2	80,37
(C₂²xD₅):₂C₂ = D₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	20	4+	(C2^2xD5):2C2	80,39
(C₂²xD₅):₃C₂ = C₂xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	40		(C2^2xD5):3C2	80,44

Non-split extensions G=N.Q with N=C₂²xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₅).₁C₂ = D₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	40		(C2^2xD5).1C2	80,14
(C₂²xD₅).₂C₂ = C₂²:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	20	4+	(C2^2xD5).2C2	80,34
(C₂²xD₅).₃C₂ = C₂²xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₅	20		(C2^2xD5).3C2	80,50
(C₂²xD₅).₄C₂ = C₂xC₄xD₅	φ: trivial image	40		(C2^2xD5).4C2	80,36

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