Extensions 1→N→G→Q→1 with N=C₅×C₁₀ and Q=C₂

Direct product G=N×Q with N=C₅×C₁₀ and Q=C₂

		d	ρ	Label	ID
C₁₀²		100		C10^2	100,16

Semidirect products G=N:Q with N=C₅×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀)⋊₁C₂ = D₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₀	20	2	(C5xC10):1C2	100,14
(C₅×C₁₀)⋊₂C₂ = C₂×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₀	50		(C5xC10):2C2	100,15

Non-split extensions G=N.Q with N=C₅×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀).₁C₂ = C₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₀	20	2	(C5xC10).1C2	100,6
(C₅×C₁₀).₂C₂ = C₅²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₀	100		(C5xC10).2C2	100,7

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Extensions 1→N→G→Q→1 with N=C5×C10 and Q=C2