Extensions 1→N→G→Q→1 with N=C₂xC₂₀ and Q=C₁₀

Direct product G=NxQ with N=C₂xC₂₀ and Q=C₁₀

		d	ρ	Label	ID
C₂xC₁₀xC₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₂xC₂₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₀):₁C₁₀ = C₅xD₁₀:C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20):1C10	400,86
(C₂xC₂₀):₂C₁₀ = C₂²:C₄xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20):2C10	400,109
(C₂xC₂₀):₃C₁₀ = C₁₀xD₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20):3C10	400,183
(C₂xC₂₀):₄C₁₀ = C₅xC₄oD₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	40	2	(C2xC20):4C10	400,184
(C₂xC₂₀):₅C₁₀ = D₅xC₂xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20):5C10	400,182
(C₂xC₂₀):₆C₁₀ = D₄xC₅xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20):6C10	400,202
(C₂xC₂₀):₇C₁₀ = C₄oD₄xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20):7C10	400,204

Non-split extensions G=N.Q with N=C₂xC₂₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₀).₁C₁₀ = C₂²:C₄xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20).1C10	400,21
(C₂xC₂₀).₂C₁₀ = C₄:C₄xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	400		(C2xC20).2C10	400,22
(C₂xC₂₀).₃C₁₀ = C₅xC₁₀.D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20).3C10	400,84
(C₂xC₂₀).₄C₁₀ = C₄:C₄xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	400		(C2xC20).4C10	400,110
(C₂xC₂₀).₅C₁₀ = C₅xC₄:Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20).5C10	400,85
(C₂xC₂₀).₆C₁₀ = C₁₀xDic₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20).6C10	400,181
(C₂xC₂₀).₇C₁₀ = C₅xC₄.Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	40	2	(C2xC20).7C10	400,82
(C₂xC₂₀).₈C₁₀ = C₁₀xC₅:₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20).8C10	400,81
(C₂xC₂₀).₉C₁₀ = Dic₅xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	80		(C2xC20).9C10	400,83
(C₂xC₂₀).₁₀C₁₀ = M₄(2)xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200	2	(C2xC20).10C10	400,24
(C₂xC₂₀).₁₁C₁₀ = D₄xC₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20).11C10	400,46
(C₂xC₂₀).₁₂C₁₀ = Q₈xC₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	400		(C2xC20).12C10	400,47
(C₂xC₂₀).₁₃C₁₀ = C₄oD₄xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200	2	(C2xC20).13C10	400,48
(C₂xC₂₀).₁₄C₁₀ = M₄(2)xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	200		(C2xC20).14C10	400,112
(C₂xC₂₀).₁₅C₁₀ = Q₈xC₅xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂xC₂₀	400		(C2xC20).15C10	400,203

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