Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₂₀

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₂₀

		d	ρ	Label	ID
C₂×C₁₀×C₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁C₂₀ = C₅×C₂²⋊F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₁₀	40	4	(C2xC10):1C20	400,141
(C₂×C₁₀)⋊₂C₂₀ = F₅×C₂×C₁₀	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₁₀	80		(C2xC10):2C20	400,214
(C₂×C₁₀)⋊₃C₂₀ = C₂²⋊C₄×C₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10):3C20	400,109
(C₂×C₁₀)⋊₄C₂₀ = C₅×C₂³.D₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):4C20	400,91
(C₂×C₁₀)⋊₅C₂₀ = Dic₅×C₂×C₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10):5C20	400,189

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁C₂₀ = C₁₀×C₅⋊C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₁₀	80		(C2xC10).1C20	400,139
(C₂×C₁₀).₂C₂₀ = C₅×C₂².F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₁₀	40	4	(C2xC10).2C20	400,140
(C₂×C₁₀).₃C₂₀ = C₂²⋊C₄×C₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).3C20	400,21
(C₂×C₁₀).₄C₂₀ = M₄(2)×C₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200	2	(C2xC10).4C20	400,24
(C₂×C₁₀).₅C₂₀ = M₄(2)×C₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).5C20	400,112
(C₂×C₁₀).₆C₂₀ = C₁₀×C₅⋊₂C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).6C20	400,81
(C₂×C₁₀).₇C₂₀ = C₅×C₄.Dic₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40	2	(C2xC10).7C20	400,82

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