Extensions 1→N→G→Q→1 with N=C₂xC₄₀ and Q=C₂

Direct product G=NxQ with N=C₂xC₄₀ and Q=C₂

		d	ρ	Label	ID
C₂²xC₄₀		160		C2^2xC40	160,190

Semidirect products G=N:Q with N=C₂xC₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₀):₁C₂ = D₁₀:₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):1C2	160,27
(C₂xC₄₀):₂C₂ = D₂₀:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):2C2	160,28
(C₂xC₄₀):₃C₂ = C₅xC₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):3C2	160,48
(C₂xC₄₀):₄C₂ = C₅xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):4C2	160,52
(C₂xC₄₀):₅C₂ = C₂xD₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):5C2	160,124
(C₂xC₄₀):₆C₂ = D₄₀:₇C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40):6C2	160,125
(C₂xC₄₀):₇C₂ = C₂xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):7C2	160,123
(C₂xC₄₀):₈C₂ = D₅xC₂xC₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):8C2	160,120
(C₂xC₄₀):₉C₂ = C₂xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):9C2	160,121
(C₂xC₄₀):₁₀C₂ = D₂₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40):10C2	160,122
(C₂xC₄₀):₁₁C₂ = C₁₀xD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):11C2	160,193
(C₂xC₄₀):₁₂C₂ = C₅xC₄oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40):12C2	160,196
(C₂xC₄₀):₁₃C₂ = C₁₀xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):13C2	160,194
(C₂xC₄₀):₁₄C₂ = C₁₀xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80		(C2xC40):14C2	160,191
(C₂xC₄₀):₁₅C₂ = C₅xC₈oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40):15C2	160,192

Non-split extensions G=N.Q with N=C₂xC₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₀).₁C₂ = C₂₀.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).1C2	160,21
(C₂xC₄₀).₂C₂ = C₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).2C2	160,23
(C₂xC₄₀).₃C₂ = C₅xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).3C2	160,53
(C₂xC₄₀).₄C₂ = C₅xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).4C2	160,55
(C₂xC₄₀).₅C₂ = C₄₀:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).5C2	160,25
(C₂xC₄₀).₆C₂ = C₂xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).6C2	160,126
(C₂xC₄₀).₇C₂ = C₄₀.₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).7C2	160,26
(C₂xC₄₀).₈C₂ = C₄₀:₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).8C2	160,24
(C₂xC₄₀).₉C₂ = C₂xC₅:₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).9C2	160,18
(C₂xC₄₀).₁₀C₂ = C₂₀.₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).10C2	160,19
(C₂xC₄₀).₁₁C₂ = C₈xDic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).11C2	160,20
(C₂xC₄₀).₁₂C₂ = C₄₀:₈C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).12C2	160,22
(C₂xC₄₀).₁₃C₂ = C₅xC₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).13C2	160,57
(C₂xC₄₀).₁₄C₂ = C₁₀xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).14C2	160,195
(C₂xC₄₀).₁₅C₂ = C₅xC₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).15C2	160,58
(C₂xC₄₀).₁₆C₂ = C₅xC₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).16C2	160,56
(C₂xC₄₀).₁₇C₂ = C₅xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).17C2	160,47
(C₂xC₄₀).₁₈C₂ = C₅xM₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).18C2	160,60

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