Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₄²

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₄²

		d	ρ	Label	ID
C₂²xC₄xC₂₀		320		C2^2xC4xC20	320,1513

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₄²

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₁₀):C₄² = C₂²:C₄xF₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	40	(C2xC10):C4^2	320,1036
(C₂xC₁₀):₂C₄² = C₄xC₂²:F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80	(C2xC10):2C4^2	320,1101
(C₂xC₁₀):₃C₄² = C₂²xC₄xF₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80	(C2xC10):3C4^2	320,1590
(C₂xC₁₀):₄C₄² = C₂²:C₄xDic₅	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):4C4^2	320,568
(C₂xC₁₀):₅C₄² = C₂²:C₄xC₂₀	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):5C4^2	320,878
(C₂xC₁₀):₆C₄² = C₄xC₂³.D₅	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):6C4^2	320,836
(C₂xC₁₀):₇C₄² = C₂²xC₄xDic₅	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320	(C2xC10):7C4^2	320,1454

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁C₄² = (C₂²xF₅):C₄	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	40	8+	(C2xC10).1C4^2	320,204
(C₂xC₁₀).₂C₄² = C₂²:C₄.F₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	80	8-	(C2xC10).2C4^2	320,205
(C₂xC₁₀).₃C₄² = M₄(2):F₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	40	8	(C2xC10).3C4^2	320,237
(C₂xC₁₀).₄C₄² = M₄(2):₄F₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	80	8	(C2xC10).4C4^2	320,240
(C₂xC₁₀).₅C₄² = Dic₅.C₄²	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).5C4^2	320,1029
(C₂xC₁₀).₆C₄² = M₄(2)xF₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	40	8	(C2xC10).6C4^2	320,1064
(C₂xC₁₀).₇C₄² = M₄(2):₅F₅	φ: C₄²/C₂ → C₂xC₄ ⊆ Aut C₂xC₁₀	80	8	(C2xC10).7C4^2	320,1066
(C₂xC₁₀).₈C₄² = C₈xC₅:C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).8C4^2	320,216
(C₂xC₁₀).₉C₄² = C₄₀:C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).9C4^2	320,217
(C₂xC₁₀).₁₀C₄² = C₂₀.₃₁M₄(2)	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).10C4^2	320,218
(C₂xC₁₀).₁₁C₄² = D₁₀.₃M₄(2)	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).11C4^2	320,230
(C₂xC₁₀).₁₂C₄² = (C₂xC₈):F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).12C4^2	320,232
(C₂xC₁₀).₁₃C₄² = C₂²:F₅:C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).13C4^2	320,255
(C₂xC₁₀).₁₄C₄² = C₁₀.(C₄:C₈)	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).14C4^2	320,256
(C₂xC₁₀).₁₅C₄² = C₂².F₅:C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).15C4^2	320,257
(C₂xC₁₀).₁₆C₄² = C₂xC₈xF₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).16C4^2	320,1054
(C₂xC₁₀).₁₇C₄² = C₂xC₈:F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).17C4^2	320,1055
(C₂xC₁₀).₁₈C₄² = C₂₀.₁₂C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).18C4^2	320,1056
(C₂xC₁₀).₁₉C₄² = C₂xC₄xC₅:C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).19C4^2	320,1084
(C₂xC₁₀).₂₀C₄² = C₂xC₁₀.C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	320		(C2xC10).20C4^2	320,1087
(C₂xC₁₀).₂₁C₄² = C₄xC₂².F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).21C4^2	320,1088
(C₂xC₁₀).₂₂C₄² = C₂xD₁₀.₃Q₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).22C4^2	320,1100
(C₂xC₁₀).₂₃C₄² = C₂⁴.₂D₁₀	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).23C4^2	320,85
(C₂xC₁₀).₂₄C₄² = C₂₀.₆₀(C₄:C₄)	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).24C4^2	320,91
(C₂xC₁₀).₂₅C₄² = M₄(2):Dic₅	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).25C4^2	320,112
(C₂xC₁₀).₂₆C₄² = M₄(2):₄Dic₅	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).26C4^2	320,117
(C₂xC₁₀).₂₇C₄² = C₂₀.₃₅C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).27C4^2	320,624
(C₂xC₁₀).₂₈C₄² = M₄(2)xDic₅	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).28C4^2	320,744
(C₂xC₁₀).₂₉C₄² = C₂₀.₃₇C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).29C4^2	320,749
(C₂xC₁₀).₃₀C₄² = C₅xC₂³.₉D₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).30C4^2	320,147
(C₂xC₁₀).₃₁C₄² = C₅xC₂².C₄²	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).31C4^2	320,148
(C₂xC₁₀).₃₂C₄² = C₅xM₄(2):₄C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).32C4^2	320,149
(C₂xC₁₀).₃₃C₄² = M₄(2)xC₂₀	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).33C4^2	320,905
(C₂xC₁₀).₃₄C₄² = C₅xC₈o₂M₄(2)	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).34C4^2	320,906
(C₂xC₁₀).₃₅C₄² = C₈xC₅:₂C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).35C4^2	320,11
(C₂xC₁₀).₃₆C₄² = C₄².₂₇₉D₁₀	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).36C4^2	320,12
(C₂xC₁₀).₃₇C₄² = C₄₀:₈C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).37C4^2	320,13
(C₂xC₁₀).₃₈C₄² = (C₂xC₂₀):₈C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).38C4^2	320,82
(C₂xC₁₀).₃₉C₄² = C₂⁴.D₁₀	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).39C4^2	320,84
(C₂xC₁₀).₄₀C₄² = (C₂xC₂₀).Q₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).40C4^2	320,88
(C₂xC₁₀).₄₁C₄² = (C₂xC₄₀):₁₅C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).41C4^2	320,108
(C₂xC₁₀).₄₂C₄² = (C₂xC₄₀):C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).42C4^2	320,114
(C₂xC₁₀).₄₃C₄² = C₂xC₄xC₅:₂C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).43C4^2	320,547
(C₂xC₁₀).₄₄C₄² = C₂xC₄².D₅	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).44C4^2	320,548
(C₂xC₁₀).₄₅C₄² = C₄xC₄.Dic₅	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).45C4^2	320,549
(C₂xC₁₀).₄₆C₄² = C₂xC₈xDic₅	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).46C4^2	320,725
(C₂xC₁₀).₄₇C₄² = C₂xC₄₀:₈C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).47C4^2	320,727
(C₂xC₁₀).₄₈C₄² = C₂₀.₄₂C₄²	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).48C4^2	320,728
(C₂xC₁₀).₄₉C₄² = C₂xC₁₀.₁₀C₄²	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).49C4^2	320,835
(C₂xC₁₀).₅₀C₄² = C₅xC₈:C₈	central extension (φ=1)	320		(C2xC10).50C4^2	320,127
(C₂xC₁₀).₅₁C₄² = C₅xC₂².₇C₄²	central extension (φ=1)	320		(C2xC10).51C4^2	320,141
(C₂xC₁₀).₅₂C₄² = C₁₀xC₂.C₄²	central extension (φ=1)	320		(C2xC10).52C4^2	320,876
(C₂xC₁₀).₅₃C₄² = C₁₀xC₈:C₄	central extension (φ=1)	320		(C2xC10).53C4^2	320,904

Extensions 1→N→G→Q→1 with N=C2xC10 and Q=C42

Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₄²