Extensions 1→N→G→Q→1 with N=C₄×C₄₀ and Q=C₂

Direct product G=N×Q with N=C₄×C₄₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₄×C₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₄₀)⋊₁C₂ = D₂₀⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):1C2	320,17
(C₄×C₄₀)⋊₂C₂ = C₅×D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):2C2	320,130
(C₄×C₄₀)⋊₃C₂ = C₄².₂₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):3C2	320,312
(C₄×C₄₀)⋊₄C₂ = C₄².₂₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):4C2	320,317
(C₄×C₄₀)⋊₅C₂ = C₄.₅D₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):5C2	320,321
(C₄×C₄₀)⋊₆C₂ = C₄².₂₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):6C2	320,324
(C₄×C₄₀)⋊₇C₂ = C₅×C₄².₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):7C2	320,932
(C₄×C₄₀)⋊₈C₂ = C₅×C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):8C2	320,934
(C₄×C₄₀)⋊₉C₂ = D₄×C₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):9C2	320,935
(C₄×C₄₀)⋊₁₀C₂ = C₅×C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):10C2	320,987
(C₄×C₄₀)⋊₁₁C₂ = C₅×C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):11C2	320,989
(C₄×C₄₀)⋊₁₂C₂ = C₄×D₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):12C2	320,319
(C₄×C₄₀)⋊₁₃C₂ = C₂₀⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):13C2	320,322
(C₄×C₄₀)⋊₁₄C₂ = C₈.₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):14C2	320,323
(C₄×C₄₀)⋊₁₅C₂ = D₄₀⋊₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	80	2	(C4xC40):15C2	320,327
(C₄×C₄₀)⋊₁₆C₂ = C₄×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):16C2	320,318
(C₄×C₄₀)⋊₁₇C₂ = C₈⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):17C2	320,320
(C₄×C₄₀)⋊₁₈C₂ = D₅×C₄×C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):18C2	320,311
(C₄×C₄₀)⋊₁₉C₂ = C₈×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):19C2	320,313
(C₄×C₄₀)⋊₂₀C₂ = C₄×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):20C2	320,314
(C₄×C₄₀)⋊₂₁C₂ = C₈⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):21C2	320,315
(C₄×C₄₀)⋊₂₂C₂ = D₁₀.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):22C2	320,316
(C₄×C₄₀)⋊₂₃C₂ = D₈×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):23C2	320,938
(C₄×C₄₀)⋊₂₄C₂ = C₅×C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):24C2	320,994
(C₄×C₄₀)⋊₂₅C₂ = C₅×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):25C2	320,996
(C₄×C₄₀)⋊₂₆C₂ = C₅×C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	80	2	(C4xC40):26C2	320,944
(C₄×C₄₀)⋊₂₇C₂ = SD₁₆×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):27C2	320,939
(C₄×C₄₀)⋊₂₈C₂ = C₅×C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):28C2	320,993
(C₄×C₄₀)⋊₂₉C₂ = M₄(2)×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):29C2	320,905
(C₄×C₄₀)⋊₃₀C₂ = C₅×C₈○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):30C2	320,906
(C₄×C₄₀)⋊₃₁C₂ = C₅×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	160		(C4xC40):31C2	320,937

Non-split extensions G=N.Q with N=C₄×C₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₄₀).₁C₂ = C₄².₂₇₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).1C2	320,12
(C₄×C₄₀).₂C₂ = Dic₁₀⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).2C2	320,14
(C₄×C₄₀).₃C₂ = C₅×Q₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).3C2	320,131
(C₄×C₄₀).₄C₂ = C₅×C₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).4C2	320,168
(C₄×C₄₀).₅C₂ = C₂₀.₁₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).5C2	320,308
(C₄×C₄₀).₆C₂ = Q₈×C₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).6C2	320,946
(C₄×C₄₀).₇C₂ = C₅×C₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).7C2	320,988
(C₄×C₄₀).₈C₂ = C₄₀⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).8C2	320,16
(C₄×C₄₀).₉C₂ = C₄₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).9C2	320,309
(C₄×C₄₀).₁₀C₂ = C₄×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).10C2	320,325
(C₄×C₄₀).₁₁C₂ = C₂₀⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).11C2	320,326
(C₄×C₄₀).₁₂C₂ = C₄₀.₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).12C2	320,310
(C₄×C₄₀).₁₃C₂ = C₄₀.₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	80	2	(C4xC40).13C2	320,21
(C₄×C₄₀).₁₄C₂ = C₄₀⋊₆C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).14C2	320,15
(C₄×C₄₀).₁₅C₂ = C₄₀⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).15C2	320,307
(C₄×C₄₀).₁₆C₂ = C₈×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).16C2	320,11
(C₄×C₄₀).₁₇C₂ = C₄₀⋊₈C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).17C2	320,13
(C₄×C₄₀).₁₈C₂ = C₄×C₅⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).18C2	320,18
(C₄×C₄₀).₁₉C₂ = C₄₀.₁₀C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).19C2	320,19
(C₄×C₄₀).₂₀C₂ = C₂₀⋊₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).20C2	320,20
(C₄×C₄₀).₂₁C₂ = C₈×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).21C2	320,305
(C₄×C₄₀).₂₂C₂ = C₄₀⋊₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).22C2	320,306
(C₄×C₄₀).₂₃C₂ = C₅×C₈⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).23C2	320,140
(C₄×C₄₀).₂₄C₂ = Q₁₆×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).24C2	320,940
(C₄×C₄₀).₂₅C₂ = C₅×C₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).25C2	320,995
(C₄×C₄₀).₂₆C₂ = C₅×C₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).26C2	320,1001
(C₄×C₄₀).₂₇C₂ = C₅×C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).27C2	320,1000
(C₄×C₄₀).₂₈C₂ = C₅×C₈.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	80	2	(C4xC40).28C2	320,169
(C₄×C₄₀).₂₉C₂ = C₅×C₈⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).29C2	320,139
(C₄×C₄₀).₃₀C₂ = C₅×C₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).30C2	320,999
(C₄×C₄₀).₃₁C₂ = C₅×C₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).31C2	320,127
(C₄×C₄₀).₃₂C₂ = C₅×C₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).32C2	320,151
(C₄×C₄₀).₃₃C₂ = C₅×C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₀	320		(C4xC40).33C2	320,947

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Extensions 1→N→G→Q→1 with N=C4×C40 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×C₄₀ and Q=C₂