Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂₀

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂₀

		d	ρ	Label	ID
C₂xC₁₀xC₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):₁C₂₀ = C₅xC₂²:F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10):1C20	400,141
(C₂xC₁₀):₂C₂₀ = F₅xC₂xC₁₀	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10):2C20	400,214
(C₂xC₁₀):₃C₂₀ = C₂²:C₄xC₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10):3C20	400,109
(C₂xC₁₀):₄C₂₀ = C₅xC₂³.D₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10):4C20	400,91
(C₂xC₁₀):₅C₂₀ = Dic₅xC₂xC₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):5C20	400,189

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁C₂₀ = C₁₀xC₅:C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).1C20	400,139
(C₂xC₁₀).₂C₂₀ = C₅xC₂².F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).2C20	400,140
(C₂xC₁₀).₃C₂₀ = C₂²:C₄xC₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10).3C20	400,21
(C₂xC₁₀).₄C₂₀ = M₄(2)xC₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200	2	(C2xC10).4C20	400,24
(C₂xC₁₀).₅C₂₀ = M₄(2)xC₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10).5C20	400,112
(C₂xC₁₀).₆C₂₀ = C₁₀xC₅:₂C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).6C20	400,81
(C₂xC₁₀).₇C₂₀ = C₅xC₄.Dic₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	40	2	(C2xC10).7C20	400,82

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