Extensions 1→N→G→Q→1 with N=C₁₀xC₂₀ and Q=C₂

Direct product G=NxQ with N=C₁₀xC₂₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₁₀xC₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₁₀xC₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₁₀xC₂₀):₁C₂ = C₅xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20):1C2	400,86
(C₁₀xC₂₀):₂C₂ = C₁₀.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):2C2	400,102
(C₁₀xC₂₀):₃C₂ = C₂²:C₄xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):3C2	400,109
(C₁₀xC₂₀):₄C₂ = C₂xC₂₀:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):4C2	400,193
(C₁₀xC₂₀):₅C₂ = C₂₀.₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):5C2	400,194
(C₁₀xC₂₀):₆C₂ = C₅xC₄oD₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	40	2	(C10xC20):6C2	400,184
(C₁₀xC₂₀):₇C₂ = C₁₀xD₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20):7C2	400,183
(C₁₀xC₂₀):₈C₂ = D₅xC₂xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20):8C2	400,182
(C₁₀xC₂₀):₉C₂ = C₂xC₄xC₅:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):9C2	400,192
(C₁₀xC₂₀):₁₀C₂ = D₄xC₅xC₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):10C2	400,202
(C₁₀xC₂₀):₁₁C₂ = C₄oD₄xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20):11C2	400,204

Non-split extensions G=N.Q with N=C₁₀xC₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₁₀xC₂₀).₁C₂ = C₅xC₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20).1C2	400,84
(C₁₀xC₂₀).₂C₂ = C₁₀².₂₂C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).2C2	400,100
(C₁₀xC₂₀).₃C₂ = C₄:C₄xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).3C2	400,110
(C₁₀xC₂₀).₄C₂ = C₂₀:₃Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).4C2	400,101
(C₁₀xC₂₀).₅C₂ = C₂xC₅²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).5C2	400,191
(C₁₀xC₂₀).₆C₂ = C₂₀.₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20).6C2	400,98
(C₁₀xC₂₀).₇C₂ = C₅xC₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	40	2	(C10xC20).7C2	400,82
(C₁₀xC₂₀).₈C₂ = C₅xC₄:Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20).8C2	400,85
(C₁₀xC₂₀).₉C₂ = C₁₀xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20).9C2	400,181
(C₁₀xC₂₀).₁₀C₂ = C₁₀xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20).10C2	400,81
(C₁₀xC₂₀).₁₁C₂ = Dic₅xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	80		(C10xC20).11C2	400,83
(C₁₀xC₂₀).₁₂C₂ = C₂xC₅²:₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).12C2	400,97
(C₁₀xC₂₀).₁₃C₂ = C₄xC₅²:₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).13C2	400,99
(C₁₀xC₂₀).₁₄C₂ = M₄(2)xC₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	200		(C10xC20).14C2	400,112
(C₁₀xC₂₀).₁₅C₂ = Q₈xC₅xC₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀xC₂₀	400		(C10xC20).15C2	400,203

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