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

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

		d	ρ	Label	ID
C₂²×C₁₀		40		C2^2xC10	40,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁C₂ = C₅×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀	20	2	(C2xC10):1C2	40,10
(C₂×C₁₀)⋊₂C₂ = C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀	20	2	(C2xC10):2C2	40,8
(C₂×C₁₀)⋊₃C₂ = C₂²×D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀	20		(C2xC10):3C2	40,13

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).C₂ = C₂×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10).C2	40,7

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