Extensions 1→N→G→Q→1 with N=C₅²×C₁₀ and Q=C₂

Direct product G=N×Q with N=C₅²×C₁₀ and Q=C₂

		d	ρ	Label	ID
C₅×C₁₀²		500		C5xC10^2	500,56

Semidirect products G=N:Q with N=C₅²×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₅²×C₁₀)⋊₁C₂ = D₅×C₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	100	(C5^2xC10):1C2	500,53
(C₅²×C₁₀)⋊₂C₂ = C₁₀×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	100	(C5^2xC10):2C2	500,54
(C₅²×C₁₀)⋊₃C₂ = C₂×C₅³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	250	(C5^2xC10):3C2	500,55

Non-split extensions G=N.Q with N=C₅²×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₅²×C₁₀).₁C₂ = Dic₅×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	100	(C5^2xC10).1C2	500,37
(C₅²×C₁₀).₂C₂ = C₅×C₅²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	100	(C5^2xC10).2C2	500,38
(C₅²×C₁₀).₃C₂ = C₅³⋊₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₅²×C₁₀	500	(C5^2xC10).3C2	500,39

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Extensions 1→N→G→Q→1 with N=C52×C10 and Q=C2