Extensions 1→N→G→Q→1 with N=C₅×C₂₀ and Q=C₂

Direct product G=N×Q with N=C₅×C₂₀ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₂₀		200		C10xC20	200,37

Semidirect products G=N:Q with N=C₅×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₂₀)⋊₁C₂ = C₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	100		(C5xC20):1C2	200,34
(C₅×C₂₀)⋊₂C₂ = C₅×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	40	2	(C5xC20):2C2	200,29
(C₅×C₂₀)⋊₃C₂ = D₅×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	40	2	(C5xC20):3C2	200,28
(C₅×C₂₀)⋊₄C₂ = C₄×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	100		(C5xC20):4C2	200,33
(C₅×C₂₀)⋊₅C₂ = D₄×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	100		(C5xC20):5C2	200,38

Non-split extensions G=N.Q with N=C₅×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₂₀).₁C₂ = C₅²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	200		(C5xC20).1C2	200,32
(C₅×C₂₀).₂C₂ = C₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	40	2	(C5xC20).2C2	200,27
(C₅×C₂₀).₃C₂ = C₅×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	40	2	(C5xC20).3C2	200,15
(C₅×C₂₀).₄C₂ = C₅²⋊₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	200		(C5xC20).4C2	200,16
(C₅×C₂₀).₅C₂ = Q₈×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₂₀	200		(C5xC20).5C2	200,39

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