Extensions 1→N→G→Q→1 with N=C₅×C₁₀ and Q=C₁₀

Direct product G=N×Q with N=C₅×C₁₀ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₅×C₁₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀)⋊C₁₀ = C₂×C₅²⋊C₁₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₅×C₁₀	50	10+	(C5xC10):C10	500,30
(C₅×C₁₀)⋊₂C₁₀ = C₂²×He₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅×C₁₀	100		(C5xC10):2C10	500,35
(C₅×C₁₀)⋊₃C₁₀ = D₅×C₅×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100		(C5xC10):3C10	500,53
(C₅×C₁₀)⋊₄C₁₀ = C₁₀×C₅⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100		(C5xC10):4C10	500,54

Non-split extensions G=N.Q with N=C₅×C₁₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀).C₁₀ = He₅⋊₅C₄	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₅×C₁₀	100	10-	(C5xC10).C10	500,8
(C₅×C₁₀).₂C₁₀ = C₄×He₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅×C₁₀	100	5	(C5xC10).2C10	500,13
(C₅×C₁₀).₃C₁₀ = C₄×5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅×C₁₀	100	5	(C5xC10).3C10	500,14
(C₅×C₁₀).₄C₁₀ = C₂²×5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅×C₁₀	100		(C5xC10).4C10	500,36
(C₅×C₁₀).₅C₁₀ = Dic₅×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100	2	(C5xC10).5C10	500,7
(C₅×C₁₀).₆C₁₀ = D₅×C₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100	2	(C5xC10).6C10	500,29
(C₅×C₁₀).₇C₁₀ = Dic₅×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100		(C5xC10).7C10	500,37
(C₅×C₁₀).₈C₁₀ = C₅×C₅²⋊₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅×C₁₀	100		(C5xC10).8C10	500,38

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