Extensions 1→N→G→Q→1 with N=C₅xC₂₀ and Q=C₂

Direct product G=NxQ with N=C₅xC₂₀ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₂₀		200		C10xC20	200,37

Semidirect products G=N:Q with N=C₅xC₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₂₀):₁C₂ = C₂₀:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	100		(C5xC20):1C2	200,34
(C₅xC₂₀):₂C₂ = C₅xD₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	40	2	(C5xC20):2C2	200,29
(C₅xC₂₀):₃C₂ = D₅xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	40	2	(C5xC20):3C2	200,28
(C₅xC₂₀):₄C₂ = C₄xC₅:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	100		(C5xC20):4C2	200,33
(C₅xC₂₀):₅C₂ = D₄xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	100		(C5xC20):5C2	200,38

Non-split extensions G=N.Q with N=C₅xC₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₂₀).₁C₂ = C₅²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	200		(C5xC20).1C2	200,32
(C₅xC₂₀).₂C₂ = C₅xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	40	2	(C5xC20).2C2	200,27
(C₅xC₂₀).₃C₂ = C₅xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	40	2	(C5xC20).3C2	200,15
(C₅xC₂₀).₄C₂ = C₅²:₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	200		(C5xC20).4C2	200,16
(C₅xC₂₀).₅C₂ = Q₈xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅xC₂₀	200		(C5xC20).5C2	200,39

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