Extensions 1→N→G→Q→1 with N=C₂xC₄₀ and Q=C₄

Direct product G=NxQ with N=C₂xC₄₀ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₂xC₄₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₀):₁C₄ = D₁₀.₃M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):1C4	320,230
(C₂xC₄₀):₂C₄ = D₁₀.₁₀D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):2C4	320,231
(C₂xC₄₀):₃C₄ = (C₂xC₈):F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):3C4	320,232
(C₂xC₄₀):₄C₄ = C₂₀.₂₄C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):4C4	320,233
(C₂xC₄₀):₅C₄ = C₂xD₅.D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):5C4	320,1058
(C₂xC₄₀):₆C₄ = (C₂xC₈):₆F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):6C4	320,1059
(C₂xC₄₀):₇C₄ = C₂xC₄₀:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):7C4	320,1057
(C₂xC₄₀):₈C₄ = C₂xC₈xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):8C4	320,1054
(C₂xC₄₀):₉C₄ = C₂xC₈:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80		(C2xC40):9C4	320,1055
(C₂xC₄₀):₁₀C₄ = C₂₀.₁₂C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):10C4	320,1056
(C₂xC₄₀):₁₁C₄ = (C₂xC₄₀):C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):11C4	320,114
(C₂xC₄₀):₁₂C₄ = C₂³.₉D₂₀	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):12C4	320,115
(C₂xC₄₀):₁₃C₄ = C₅xC₄.₉C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):13C4	320,142
(C₂xC₄₀):₁₄C₄ = C₅xM₄(2):₄C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40):14C4	320,149
(C₂xC₄₀):₁₅C₄ = (C₂xC₄₀):₁₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):15C4	320,108
(C₂xC₄₀):₁₆C₄ = C₂₀.₃₉C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):16C4	320,109
(C₂xC₄₀):₁₇C₄ = C₅xC₂².₇C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):17C4	320,141
(C₂xC₄₀):₁₈C₄ = C₅xC₂².₄Q₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):18C4	320,145
(C₂xC₄₀):₁₉C₄ = C₂xC₄₀:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):19C4	320,732
(C₂xC₄₀):₂₀C₄ = C₂³.₂₂D₂₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40):20C4	320,733
(C₂xC₄₀):₂₁C₄ = C₂xC₄₀:₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):21C4	320,731
(C₂xC₄₀):₂₂C₄ = C₂xC₈xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):22C4	320,725
(C₂xC₄₀):₂₃C₄ = C₂xC₄₀:₈C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):23C4	320,727
(C₂xC₄₀):₂₄C₄ = C₂₀.₄₂C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40):24C4	320,728
(C₂xC₄₀):₂₅C₄ = C₁₀xC₂.D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):25C4	320,927
(C₂xC₄₀):₂₆C₄ = C₅xC₂³.₂₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40):26C4	320,928
(C₂xC₄₀):₂₇C₄ = C₁₀xC₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):27C4	320,926
(C₂xC₄₀):₂₈C₄ = C₁₀xC₈:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40):28C4	320,904
(C₂xC₄₀):₂₉C₄ = C₅xC₈o₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40):29C4	320,906

Non-split extensions G=N.Q with N=C₂xC₄₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₀).₁C₄ = C₂₀.₃₁M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).1C4	320,218
(C₂xC₄₀).₂C₄ = C₂₀.₂₆M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).2C4	320,221
(C₂xC₄₀).₃C₄ = Dic₅.₁₃D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).3C4	320,222
(C₂xC₄₀).₄C₄ = D₁₀:C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).4C4	320,225
(C₂xC₄₀).₅C₄ = C₁₀.M₅(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).5C4	320,226
(C₂xC₄₀).₆C₄ = C₂₀.₂₃C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).6C4	320,228
(C₂xC₄₀).₇C₄ = C₂₀.₁₀M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).7C4	320,229
(C₂xC₄₀).₈C₄ = C₂₀.₁₀C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).8C4	320,234
(C₂xC₄₀).₉C₄ = C₂₀.₂₅C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).9C4	320,235
(C₂xC₄₀).₁₀C₄ = C₄₀:₁C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).10C4	320,220
(C₂xC₄₀).₁₁C₄ = C₂xD₁₀.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).11C4	320,1061
(C₂xC₄₀).₁₂C₄ = C₄₀.₁C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).12C4	320,227
(C₂xC₄₀).₁₃C₄ = (C₈xD₅).C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).13C4	320,1062
(C₂xC₄₀).₁₄C₄ = C₄₀:₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).14C4	320,219
(C₂xC₄₀).₁₅C₄ = C₂xC₄₀.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).15C4	320,1060
(C₂xC₄₀).₁₆C₄ = C₂xC₅:C₃₂	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).16C4	320,214
(C₂xC₄₀).₁₇C₄ = C₅:M₆(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160	4	(C2xC40).17C4	320,215
(C₂xC₄₀).₁₈C₄ = C₈xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).18C4	320,216
(C₂xC₄₀).₁₉C₄ = C₄₀:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).19C4	320,217
(C₂xC₄₀).₂₀C₄ = Dic₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).20C4	320,223
(C₂xC₄₀).₂₁C₄ = C₄₀.C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	320		(C2xC40).21C4	320,224
(C₂xC₄₀).₂₂C₄ = C₂xD₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).22C4	320,1051
(C₂xC₄₀).₂₃C₄ = C₂xC₈.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	160		(C2xC40).23C4	320,1052
(C₂xC₄₀).₂₄C₄ = D₅:M₅(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).24C4	320,1053
(C₂xC₄₀).₂₅C₄ = C₂₀.₄₅C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).25C4	320,24
(C₂xC₄₀).₂₆C₄ = C₄₀.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).26C4	320,111
(C₂xC₄₀).₂₇C₄ = C₂₀.₅₁C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).27C4	320,118
(C₂xC₄₀).₂₈C₄ = C₅xC₄.₁₀C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).28C4	320,143
(C₂xC₄₀).₂₉C₄ = C₅xC₁₆:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).29C4	320,152
(C₂xC₄₀).₃₀C₄ = C₅xC₂³.C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₄₀	80	4	(C2xC40).30C4	320,154
(C₂xC₄₀).₃₁C₄ = C₄².₂₇₉D₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).31C4	320,12
(C₂xC₄₀).₃₂C₄ = C₄₀:₆C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).32C4	320,15
(C₂xC₄₀).₃₃C₄ = C₄₀:₅C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).33C4	320,16
(C₂xC₄₀).₃₄C₄ = C₂₀:₃C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).34C4	320,20
(C₂xC₄₀).₃₅C₄ = C₄₀.₉₁D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).35C4	320,107
(C₂xC₄₀).₃₆C₄ = C₂₀.₄₀C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).36C4	320,110
(C₂xC₄₀).₃₇C₄ = C₅xC₈:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).37C4	320,139
(C₂xC₄₀).₃₈C₄ = C₅xC₈:₁C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).38C4	320,140
(C₂xC₄₀).₃₉C₄ = C₅xC₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).39C4	320,146
(C₂xC₄₀).₄₀C₄ = C₅xC₂²:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).40C4	320,153
(C₂xC₄₀).₄₁C₄ = C₅xC₄:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).41C4	320,168
(C₂xC₄₀).₄₂C₄ = C₄₀.₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).42C4	320,21
(C₂xC₄₀).₄₃C₄ = C₂xC₄₀.₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).43C4	320,734
(C₂xC₄₀).₄₄C₄ = C₈xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).44C4	320,11
(C₂xC₄₀).₄₅C₄ = C₄₀:₈C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).45C4	320,13
(C₂xC₄₀).₄₆C₄ = C₄xC₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).46C4	320,18
(C₂xC₄₀).₄₇C₄ = C₄₀.₁₀C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).47C4	320,19
(C₂xC₄₀).₄₈C₄ = C₂xC₅:₂C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).48C4	320,56
(C₂xC₄₀).₄₉C₄ = C₈₀.₉C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160	2	(C2xC40).49C4	320,57
(C₂xC₄₀).₅₀C₄ = C₂²xC₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).50C4	320,723
(C₂xC₄₀).₅₁C₄ = C₂xC₂₀.₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).51C4	320,724
(C₂xC₄₀).₅₂C₄ = C₅xC₈.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	80	2	(C2xC40).52C4	320,169
(C₂xC₄₀).₅₃C₄ = C₁₀xC₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).53C4	320,930
(C₂xC₄₀).₅₄C₄ = C₅xC₈:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).54C4	320,127
(C₂xC₄₀).₅₅C₄ = C₅xC₁₆:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	320		(C2xC40).55C4	320,151
(C₂xC₄₀).₅₆C₄ = C₅xM₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160	2	(C2xC40).56C4	320,175
(C₂xC₄₀).₅₇C₄ = C₁₀xM₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₄₀	160		(C2xC40).57C4	320,1004

Extensions 1→N→G→Q→1 with N=C2xC40 and Q=C4

Extensions 1→N→G→Q→1 with N=C₂xC₄₀ and Q=C₄