Extensions 1→N→G→Q→1 with N=C₂xC₅:F₅ and Q=C₂

Direct product G=NxQ with N=C₂xC₅:F₅ and Q=C₂

		d	ρ	Label	ID
C₂²xC₅:F₅		100		C2^2xC5:F5	400,216

Semidirect products G=N:Q with N=C₂xC₅:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:F₅):₁C₂ = D₁₀:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	20	8+	(C2xC5:F5):1C2	400,125
(C₂xC₅:F₅):₂C₂ = C₁₀²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	100		(C2xC5:F5):2C2	400,155
(C₂xC₅:F₅):₃C₂ = C₂xD₅:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	20	8+	(C2xC5:F5):3C2	400,210

Non-split extensions G=N.Q with N=C₂xC₅:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:F₅).₁C₂ = C₅²:₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	20	8+	(C2xC5:F5).1C2	400,124
(C₂xC₅:F₅).₂C₂ = Dic₅:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	20	8+	(C2xC5:F5).2C2	400,126
(C₂xC₅:F₅).₃C₂ = C₂₀:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	100		(C2xC5:F5).3C2	400,152
(C₂xC₅:F₅).₄C₂ = C₂xC₅²:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:F₅	20	8+	(C2xC5:F5).4C2	400,208
(C₂xC₅:F₅).₅C₂ = C₄xC₅:F₅	φ: trivial image	100		(C2xC5:F5).5C2	400,151

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