Extensions 1→N→G→Q→1 with N=C₂×C₅⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₂×C₅⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₅⋊C₈		320		C2^3xC5:C8	320,1605

Semidirect products G=N:Q with N=C₂×C₅⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊C₈)⋊₁C₂² = D₁₀⋊₉M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):1C2^2	320,1093
(C₂×C₅⋊C₈)⋊₂C₂² = D₁₀⋊₁₀M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):2C2^2	320,1094
(C₂×C₅⋊C₈)⋊₃C₂² = C₂⁴.₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):3C2^2	320,1136
(C₂×C₅⋊C₈)⋊₄C₂² = Dic₅.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	80	8-	(C2xC5:C8):4C2^2	320,1594
(C₂×C₅⋊C₈)⋊₅C₂² = Dic₅.₂₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	80	8	(C2xC5:C8):5C2^2	320,1602
(C₂×C₅⋊C₈)⋊₆C₂² = C₂×D₁₀⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):6C2^2	320,1089
(C₂×C₅⋊C₈)⋊₇C₂² = D₁₀.₁₁M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):7C2^2	320,1091
(C₂×C₅⋊C₈)⋊₈C₂² = C₂×C₂³.₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):8C2^2	320,1135
(C₂×C₅⋊C₈)⋊₉C₂² = C₂²×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):9C2^2	320,1588
(C₂×C₅⋊C₈)⋊₁₀C₂² = C₂×D₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):10C2^2	320,1589
(C₂×C₅⋊C₈)⋊₁₁C₂² = C₂×D₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):11C2^2	320,1593
(C₂×C₅⋊C₈)⋊₁₂C₂² = Dic₅.₂₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80	8	(C2xC5:C8):12C2^2	320,1601
(C₂×C₅⋊C₈)⋊₁₃C₂² = C₂²×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):13C2^2	320,1606
(C₂×C₅⋊C₈)⋊₁₄C₂² = C₂²×D₅⋊C₈	φ: trivial image	160		(C2xC5:C8):14C2^2	320,1587

Non-split extensions G=N.Q with N=C₂×C₅⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
(C₂×C₅⋊C₈).₁C₂² = C₂₀⋊₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).1C2^2	320,1019
(C₂×C₅⋊C₈).₂C₂² = C₄².₁₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).2C2^2	320,1020
(C₂×C₅⋊C₈).₃C₂² = C₄².₁₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).3C2^2	320,1021
(C₂×C₅⋊C₈).₄C₂² = C₄².₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).4C2^2	320,1022
(C₂×C₅⋊C₈).₅C₂² = C₂₀⋊C₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).5C2^2	320,1034
(C₂×C₅⋊C₈).₆C₂² = C₄⋊C₄.₉F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).6C2^2	320,1046
(C₂×C₅⋊C₈).₇C₂² = Dic₅.₁₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).7C2^2	320,1095
(C₂×C₅⋊C₈).₈C₂² = C₂₀⋊₈M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).8C2^2	320,1096
(C₂×C₅⋊C₈).₉C₂² = C₂₀.₃₀M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).9C2^2	320,1097
(C₂×C₅⋊C₈).₁₀C₂² = C₂₀⋊₂M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).10C2^2	320,1112
(C₂×C₅⋊C₈).₁₁C₂² = (C₂×D₄).₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).11C2^2	320,1113
(C₂×C₅⋊C₈).₁₂C₂² = (C₂×D₄).₈F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).12C2^2	320,1114
(C₂×C₅⋊C₈).₁₃C₂² = (C₂×Q₈).₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).13C2^2	320,1125
(C₂×C₅⋊C₈).₁₄C₂² = C₄².₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).14C2^2	320,1014
(C₂×C₅⋊C₈).₁₅C₂² = C₄×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).15C2^2	320,1015
(C₂×C₅⋊C₈).₁₆C₂² = C₄².₆F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).16C2^2	320,1016
(C₂×C₅⋊C₈).₁₇C₂² = C₄².₁₁F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).17C2^2	320,1017
(C₂×C₅⋊C₈).₁₈C₂² = C₄².₁₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).18C2^2	320,1018
(C₂×C₅⋊C₈).₁₉C₂² = Dic₅.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).19C2^2	320,1029
(C₂×C₅⋊C₈).₂₀C₂² = C₅⋊C₈⋊₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).20C2^2	320,1030
(C₂×C₅⋊C₈).₂₁C₂² = C₅⋊C₈⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).21C2^2	320,1031
(C₂×C₅⋊C₈).₂₂C₂² = D₁₀⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).22C2^2	320,1032
(C₂×C₅⋊C₈).₂₃C₂² = Dic₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).23C2^2	320,1033
(C₂×C₅⋊C₈).₂₄C₂² = C₂³.(C₂×F₅)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).24C2^2	320,1035
(C₂×C₅⋊C₈).₂₅C₂² = D₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).25C2^2	320,1039
(C₂×C₅⋊C₈).₂₆C₂² = D₂₀⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).26C2^2	320,1040
(C₂×C₅⋊C₈).₂₇C₂² = Dic₁₀⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).27C2^2	320,1041
(C₂×C₅⋊C₈).₂₈C₂² = D₁₀⋊₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).28C2^2	320,1042
(C₂×C₅⋊C₈).₂₉C₂² = C₂₀⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).29C2^2	320,1043
(C₂×C₅⋊C₈).₃₀C₂² = C₄⋊C₄.₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).30C2^2	320,1044
(C₂×C₅⋊C₈).₃₁C₂² = Dic₅.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).31C2^2	320,1045
(C₂×C₅⋊C₈).₃₂C₂² = C₂₀.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).32C2^2	320,1047
(C₂×C₅⋊C₈).₃₃C₂² = C₂×C₂₀⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).33C2^2	320,1085
(C₂×C₅⋊C₈).₃₄C₂² = Dic₅.₁₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).34C2^2	320,1086
(C₂×C₅⋊C₈).₃₅C₂² = C₂×C₁₀.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).35C2^2	320,1087
(C₂×C₅⋊C₈).₃₆C₂² = C₄×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).36C2^2	320,1088
(C₂×C₅⋊C₈).₃₇C₂² = C₂×Dic₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).37C2^2	320,1090
(C₂×C₅⋊C₈).₃₈C₂² = C₂₀.₃₄M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).38C2^2	320,1092
(C₂×C₅⋊C₈).₃₉C₂² = D₄×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).39C2^2	320,1110
(C₂×C₅⋊C₈).₄₀C₂² = C₅⋊C₈⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160	(C2xC5:C8).40C2^2	320,1111
(C₂×C₅⋊C₈).₄₁C₂² = Q₈×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).41C2^2	320,1124
(C₂×C₅⋊C₈).₄₂C₂² = C₂₀.₆M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320	(C2xC5:C8).42C2^2	320,1126
(C₂×C₅⋊C₈).₄₃C₂² = C₄×D₅⋊C₈	φ: trivial image	160	(C2xC5:C8).43C2^2	320,1013
(C₂×C₅⋊C₈).₄₄C₂² = C₂×C₄×C₅⋊C₈	φ: trivial image	320	(C2xC5:C8).44C2^2	320,1084
(C₂×C₅⋊C₈).₄₅C₂² = C₂×Q₈.F₅	φ: trivial image	160	(C2xC5:C8).45C2^2	320,1597

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Extensions 1→N→G→Q→1 with N=C2×C5⋊C8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×C₅⋊C₈ and Q=C₂²