Extensions 1→N→G→Q→1 with N=C₂²×C₁₀ and Q=C₂

Direct product G=N×Q with N=C₂²×C₁₀ and Q=C₂

		d	ρ	Label	ID
C₂³×C₁₀		80		C2^3xC10	80,52

Semidirect products G=N:Q with N=C₂²×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₁₀)⋊₁C₂ = D₄×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	40	(C2^2xC10):1C2	80,46
(C₂²×C₁₀)⋊₂C₂ = C₂×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	40	(C2^2xC10):2C2	80,44
(C₂²×C₁₀)⋊₃C₂ = C₂³×D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	40	(C2^2xC10):3C2	80,51

Non-split extensions G=N.Q with N=C₂²×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₁₀).₁C₂ = C₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	40	(C2^2xC10).1C2	80,21
(C₂²×C₁₀).₂C₂ = C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	40	(C2^2xC10).2C2	80,19
(C₂²×C₁₀).₃C₂ = C₂²×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₁₀	80	(C2^2xC10).3C2	80,43

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Extensions 1→N→G→Q→1 with N=C22×C10 and Q=C2