Extensions 1→N→G→Q→1 with N=C₅×C₄₀ and Q=C₂

Direct product G=N×Q with N=C₅×C₄₀ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄₀		400		C10xC40	400,111

Semidirect products G=N:Q with N=C₅×C₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₄₀)⋊₁C₂ = C₅²⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):1C2	400,95
(C₅×C₄₀)⋊₂C₂ = C₅×D₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40):2C2	400,79
(C₅×C₄₀)⋊₃C₂ = C₄₀⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):3C2	400,94
(C₅×C₄₀)⋊₄C₂ = C₅×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40):4C2	400,78
(C₅×C₄₀)⋊₅C₂ = D₅×C₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40):5C2	400,76
(C₅×C₄₀)⋊₆C₂ = C₈×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):6C2	400,92
(C₅×C₄₀)⋊₇C₂ = C₄₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):7C2	400,93
(C₅×C₄₀)⋊₈C₂ = C₅×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40):8C2	400,77
(C₅×C₄₀)⋊₉C₂ = D₈×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):9C2	400,113
(C₅×C₄₀)⋊₁₀C₂ = SD₁₆×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):10C2	400,114
(C₅×C₄₀)⋊₁₁C₂ = M₄(2)×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	200		(C5xC40):11C2	400,112

Non-split extensions G=N.Q with N=C₅×C₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₄₀).₁C₂ = C₄₀.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	400		(C5xC40).1C2	400,96
(C₅×C₄₀).₂C₂ = C₅×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40).2C2	400,80
(C₅×C₄₀).₃C₂ = C₅×C₅⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	80	2	(C5xC40).3C2	400,49
(C₅×C₄₀).₄C₂ = C₅²⋊₇C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	400		(C5xC40).4C2	400,50
(C₅×C₄₀).₅C₂ = Q₁₆×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₄₀	400		(C5xC40).5C2	400,115

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