Extensions 1→N→G→Q→1 with N=D₅×C₅² and Q=C₂

Direct product G=N×Q with N=D₅×C₅² and Q=C₂

		d	ρ	Label	ID
D₅×C₅×C₁₀		100		D5xC5xC10	500,53

Semidirect products G=N:Q with N=D₅×C₅² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₅²)⋊₁C₂ = C₅×D₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₅²	20	4	(D5xC5^2):1C2	500,50
(D₅×C₅²)⋊₂C₂ = D₅×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₅²	50		(D5xC5^2):2C2	500,51

Non-split extensions G=N.Q with N=D₅×C₅² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₅²).₁C₂ = F₅×C₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₅²	100		(D5xC5^2).1C2	500,41
(D₅×C₅²).₂C₂ = C₅×D₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₅²	20	4	(D5xC5^2).2C2	500,42
(D₅×C₅²).₃C₂ = C₅³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₅²	100		(D5xC5^2).3C2	500,45

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Extensions 1→N→G→Q→1 with N=D5×C52 and Q=C2