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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀)⋊₁C₁₀ = C₅×D₁₀⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):1C10	400,86
(C₂×C₂₀)⋊₂C₁₀ = C₂²⋊C₄×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):2C10	400,109
(C₂×C₂₀)⋊₃C₁₀ = C₁₀×D₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):3C10	400,183
(C₂×C₂₀)⋊₄C₁₀ = C₅×C₄○D₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20):4C10	400,184
(C₂×C₂₀)⋊₅C₁₀ = D₅×C₂×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):5C10	400,182
(C₂×C₂₀)⋊₆C₁₀ = D₄×C₅×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):6C10	400,202
(C₂×C₂₀)⋊₇C₁₀ = C₄○D₄×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):7C10	400,204

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀).₁C₁₀ = C₂²⋊C₄×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).1C10	400,21
(C₂×C₂₀).₂C₁₀ = C₄⋊C₄×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).2C10	400,22
(C₂×C₂₀).₃C₁₀ = C₅×C₁₀.D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).3C10	400,84
(C₂×C₂₀).₄C₁₀ = C₄⋊C₄×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).4C10	400,110
(C₂×C₂₀).₅C₁₀ = C₅×C₄⋊Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).5C10	400,85
(C₂×C₂₀).₆C₁₀ = C₁₀×Dic₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).6C10	400,181
(C₂×C₂₀).₇C₁₀ = C₅×C₄.Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).7C10	400,82
(C₂×C₂₀).₈C₁₀ = C₁₀×C₅⋊₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).8C10	400,81
(C₂×C₂₀).₉C₁₀ = Dic₅×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).9C10	400,83
(C₂×C₂₀).₁₀C₁₀ = M₄(2)×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200	2	(C2xC20).10C10	400,24
(C₂×C₂₀).₁₁C₁₀ = D₄×C₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).11C10	400,46
(C₂×C₂₀).₁₂C₁₀ = Q₈×C₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).12C10	400,47
(C₂×C₂₀).₁₃C₁₀ = C₄○D₄×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200	2	(C2xC20).13C10	400,48
(C₂×C₂₀).₁₄C₁₀ = M₄(2)×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).14C10	400,112
(C₂×C₂₀).₁₅C₁₀ = Q₈×C₅×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).15C10	400,203

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