Extensions 1→N→G→Q→1 with N=C₂xC₅:C₈ and Q=C₂²

Direct product G=NxQ with N=C₂xC₅:C₈ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₅:C₈		320		C2^3xC5:C8	320,1605

Semidirect products G=N:Q with N=C₂xC₅:C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:C₈):₁C₂² = D₁₀:₉M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	80		(C2xC5:C8):1C2^2	320,1093
(C₂xC₅:C₈):₂C₂² = D₁₀:₁₀M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	80		(C2xC5:C8):2C2^2	320,1094
(C₂xC₅:C₈):₃C₂² = C₂⁴.₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	80		(C2xC5:C8):3C2^2	320,1136
(C₂xC₅:C₈):₄C₂² = Dic₅.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	80	8-	(C2xC5:C8):4C2^2	320,1594
(C₂xC₅:C₈):₅C₂² = Dic₅.₂₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	80	8	(C2xC5:C8):5C2^2	320,1602
(C₂xC₅:C₈):₆C₂² = C₂xD₁₀:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160		(C2xC5:C8):6C2^2	320,1089
(C₂xC₅:C₈):₇C₂² = D₁₀.₁₁M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	80		(C2xC5:C8):7C2^2	320,1091
(C₂xC₅:C₈):₈C₂² = C₂xC₂³.₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160		(C2xC5:C8):8C2^2	320,1135
(C₂xC₅:C₈):₉C₂² = C₂²xC₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160		(C2xC5:C8):9C2^2	320,1588
(C₂xC₅:C₈):₁₀C₂² = C₂xD₅:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	80		(C2xC5:C8):10C2^2	320,1589
(C₂xC₅:C₈):₁₁C₂² = C₂xD₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160		(C2xC5:C8):11C2^2	320,1593
(C₂xC₅:C₈):₁₂C₂² = Dic₅.₂₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	80	8	(C2xC5:C8):12C2^2	320,1601
(C₂xC₅:C₈):₁₃C₂² = C₂²xC₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160		(C2xC5:C8):13C2^2	320,1606
(C₂xC₅:C₈):₁₄C₂² = C₂²xD₅:C₈	φ: trivial image	160		(C2xC5:C8):14C2^2	320,1587

Non-split extensions G=N.Q with N=C₂xC₅:C₈ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
(C₂xC₅:C₈).₁C₂² = C₂₀:₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).1C2^2	320,1019
(C₂xC₅:C₈).₂C₂² = C₄².₁₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).2C2^2	320,1020
(C₂xC₅:C₈).₃C₂² = C₄².₁₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).3C2^2	320,1021
(C₂xC₅:C₈).₄C₂² = C₄².₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).4C2^2	320,1022
(C₂xC₅:C₈).₅C₂² = C₂₀:C₈:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).5C2^2	320,1034
(C₂xC₅:C₈).₆C₂² = C₄:C₄.₉F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).6C2^2	320,1046
(C₂xC₅:C₈).₇C₂² = Dic₅.₁₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).7C2^2	320,1095
(C₂xC₅:C₈).₈C₂² = C₂₀:₈M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).8C2^2	320,1096
(C₂xC₅:C₈).₉C₂² = C₂₀.₃₀M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).9C2^2	320,1097
(C₂xC₅:C₈).₁₀C₂² = C₂₀:₂M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).10C2^2	320,1112
(C₂xC₅:C₈).₁₁C₂² = (C₂xD₄).₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).11C2^2	320,1113
(C₂xC₅:C₈).₁₂C₂² = (C₂xD₄).₈F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).12C2^2	320,1114
(C₂xC₅:C₈).₁₃C₂² = (C₂xQ₈).₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).13C2^2	320,1125
(C₂xC₅:C₈).₁₄C₂² = C₄².₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).14C2^2	320,1014
(C₂xC₅:C₈).₁₅C₂² = C₄xC₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).15C2^2	320,1015
(C₂xC₅:C₈).₁₆C₂² = C₄².₆F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).16C2^2	320,1016
(C₂xC₅:C₈).₁₇C₂² = C₄².₁₁F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).17C2^2	320,1017
(C₂xC₅:C₈).₁₈C₂² = C₄².₁₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).18C2^2	320,1018
(C₂xC₅:C₈).₁₉C₂² = Dic₅.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).19C2^2	320,1029
(C₂xC₅:C₈).₂₀C₂² = C₅:C₈:₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).20C2^2	320,1030
(C₂xC₅:C₈).₂₁C₂² = C₅:C₈:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).21C2^2	320,1031
(C₂xC₅:C₈).₂₂C₂² = D₁₀:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).22C2^2	320,1032
(C₂xC₅:C₈).₂₃C₂² = Dic₅:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).23C2^2	320,1033
(C₂xC₅:C₈).₂₄C₂² = C₂³.(C₂xF₅)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).24C2^2	320,1035
(C₂xC₅:C₈).₂₅C₂² = D₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).25C2^2	320,1039
(C₂xC₅:C₈).₂₆C₂² = D₂₀:₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).26C2^2	320,1040
(C₂xC₅:C₈).₂₇C₂² = Dic₁₀:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).27C2^2	320,1041
(C₂xC₅:C₈).₂₈C₂² = D₁₀:₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).28C2^2	320,1042
(C₂xC₅:C₈).₂₉C₂² = C₂₀:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).29C2^2	320,1043
(C₂xC₅:C₈).₃₀C₂² = C₄:C₄.₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).30C2^2	320,1044
(C₂xC₅:C₈).₃₁C₂² = Dic₅.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).31C2^2	320,1045
(C₂xC₅:C₈).₃₂C₂² = C₂₀.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).32C2^2	320,1047
(C₂xC₅:C₈).₃₃C₂² = C₂xC₂₀:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).33C2^2	320,1085
(C₂xC₅:C₈).₃₄C₂² = Dic₅.₁₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).34C2^2	320,1086
(C₂xC₅:C₈).₃₅C₂² = C₂xC₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).35C2^2	320,1087
(C₂xC₅:C₈).₃₆C₂² = C₄xC₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).36C2^2	320,1088
(C₂xC₅:C₈).₃₇C₂² = C₂xDic₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).37C2^2	320,1090
(C₂xC₅:C₈).₃₈C₂² = C₂₀.₃₄M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).38C2^2	320,1092
(C₂xC₅:C₈).₃₉C₂² = D₄xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).39C2^2	320,1110
(C₂xC₅:C₈).₄₀C₂² = C₅:C₈:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	160	(C2xC5:C8).40C2^2	320,1111
(C₂xC₅:C₈).₄₁C₂² = Q₈xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).41C2^2	320,1124
(C₂xC₅:C₈).₄₂C₂² = C₂₀.₆M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₅:C₈	320	(C2xC5:C8).42C2^2	320,1126
(C₂xC₅:C₈).₄₃C₂² = C₄xD₅:C₈	φ: trivial image	160	(C2xC5:C8).43C2^2	320,1013
(C₂xC₅:C₈).₄₄C₂² = C₂xC₄xC₅:C₈	φ: trivial image	320	(C2xC5:C8).44C2^2	320,1084
(C₂xC₅:C₈).₄₅C₂² = C₂xQ₈.F₅	φ: trivial image	160	(C2xC5:C8).45C2^2	320,1597

Extensions 1→N→G→Q→1 with N=C2xC5:C8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂xC₅:C₈ and Q=C₂²