Extensions 1→N→G→Q→1 with N=C₄×SD₁₆ and Q=C₂

Direct product G=N×Q with N=C₄×SD₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×SD₁₆		64		C2xC4xSD16	128,1669

Semidirect products G=N:Q with N=C₄×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×SD₁₆)⋊₁C₂ = C₄².₂₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):1C2	128,1837
(C₄×SD₁₆)⋊₂C₂ = C₄².₄₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):2C2	128,1838
(C₄×SD₁₆)⋊₃C₂ = C₄².₄₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):3C2	128,1839
(C₄×SD₁₆)⋊₄C₂ = C₄².₂₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):4C2	128,1840
(C₄×SD₁₆)⋊₅C₂ = C₄².₃₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):5C2	128,1850
(C₄×SD₁₆)⋊₆C₂ = C₄².₃₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):6C2	128,1851
(C₄×SD₁₆)⋊₇C₂ = C₄².₃₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):7C2	128,1852
(C₄×SD₁₆)⋊₈C₂ = C₄².₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):8C2	128,1853
(C₄×SD₁₆)⋊₉C₂ = SD₁₆⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):9C2	128,2014
(C₄×SD₁₆)⋊₁₀C₂ = C₄².₄₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):10C2	128,2069
(C₄×SD₁₆)⋊₁₁C₂ = C₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):11C2	128,1676
(C₄×SD₁₆)⋊₁₂C₂ = C₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):12C2	128,1677
(C₄×SD₁₆)⋊₁₃C₂ = C₄².₂₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):13C2	128,1678
(C₄×SD₁₆)⋊₁₄C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):14C2	128,1679
(C₄×SD₁₆)⋊₁₅C₂ = C₄².₂₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):15C2	128,1903
(C₄×SD₁₆)⋊₁₆C₂ = C₄².₂₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):16C2	128,1904
(C₄×SD₁₆)⋊₁₇C₂ = C₄².₃₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):17C2	128,1910
(C₄×SD₁₆)⋊₁₈C₂ = C₄².₃₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):18C2	128,1911
(C₄×SD₁₆)⋊₁₉C₂ = SD₁₆⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):19C2	128,2006
(C₄×SD₁₆)⋊₂₀C₂ = SD₁₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):20C2	128,2007
(C₄×SD₁₆)⋊₂₁C₂ = SD₁₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):21C2	128,2008
(C₄×SD₁₆)⋊₂₂C₂ = C₄².₄₉₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):22C2	128,2083
(C₄×SD₁₆)⋊₂₃C₂ = C₄².₄₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):23C2	128,2085
(C₄×SD₁₆)⋊₂₄C₂ = C₄².₄₉₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):24C2	128,2089
(C₄×SD₁₆)⋊₂₅C₂ = C₄².₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):25C2	128,2131
(C₄×SD₁₆)⋊₂₆C₂ = C₄².₅₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):26C2	128,2133
(C₄×SD₁₆)⋊₂₇C₂ = C₄².₂₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):27C2	128,1833
(C₄×SD₁₆)⋊₂₈C₂ = C₄².₃₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):28C2	128,1834
(C₄×SD₁₆)⋊₂₉C₂ = C₄².₂₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):29C2	128,1835
(C₄×SD₁₆)⋊₃₀C₂ = C₄².₃₅₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):30C2	128,1855
(C₄×SD₁₆)⋊₃₁C₂ = C₄².₃₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):31C2	128,1857
(C₄×SD₁₆)⋊₃₂C₂ = C₄².₃₆₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):32C2	128,1858
(C₄×SD₁₆)⋊₃₃C₂ = C₄².₃₆₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):33C2	128,1899
(C₄×SD₁₆)⋊₃₄C₂ = C₄².₃₀₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):34C2	128,1900
(C₄×SD₁₆)⋊₃₅C₂ = D₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):35C2	128,2013
(C₄×SD₁₆)⋊₃₆C₂ = SD₁₆⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):36C2	128,2016
(C₄×SD₁₆)⋊₃₇C₂ = D₄⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):37C2	128,2027
(C₄×SD₁₆)⋊₃₈C₂ = C₄².₄₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):38C2	128,2028
(C₄×SD₁₆)⋊₃₉C₂ = D₄⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):39C2	128,2030
(C₄×SD₁₆)⋊₄₀C₂ = C₄².₄₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):40C2	128,2033
(C₄×SD₁₆)⋊₄₁C₂ = C₄².₄₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):41C2	128,2034
(C₄×SD₁₆)⋊₄₂C₂ = C₄².₄₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):42C2	128,2037
(C₄×SD₁₆)⋊₄₃C₂ = D₄⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):43C2	128,2067
(C₄×SD₁₆)⋊₄₄C₂ = C₄².₄₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):44C2	128,2072
(C₄×SD₁₆)⋊₄₅C₂ = C₄².₅₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):45C2	128,2092
(C₄×SD₁₆)⋊₄₆C₂ = C₄².₅₀₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):46C2	128,2093
(C₄×SD₁₆)⋊₄₇C₂ = Q₈⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):47C2	128,2094
(C₄×SD₁₆)⋊₄₈C₂ = C₄².₅₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):48C2	128,2097
(C₄×SD₁₆)⋊₄₉C₂ = Q₈⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):49C2	128,2124
(C₄×SD₁₆)⋊₅₀C₂ = C₄².₅₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):50C2	128,2126
(C₄×SD₁₆)⋊₅₁C₂ = C₄².₂₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):51C2	128,1681
(C₄×SD₁₆)⋊₅₂C₂ = C₄².₂₈₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):52C2	128,1684
(C₄×SD₁₆)⋊₅₃C₂ = C₄².₃₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):53C2	128,1905
(C₄×SD₁₆)⋊₅₄C₂ = C₄².₃₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):54C2	128,1906
(C₄×SD₁₆)⋊₅₅C₂ = C₄².₄₇₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):55C2	128,2055
(C₄×SD₁₆)⋊₅₆C₂ = C₄².₄₇₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	32	(C4xSD16):56C2	128,2056
(C₄×SD₁₆)⋊₅₇C₂ = C₄².₄₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):57C2	128,2058
(C₄×SD₁₆)⋊₅₈C₂ = C₄².₄₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):58C2	128,2061
(C₄×SD₁₆)⋊₅₉C₂ = C₄².₄₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):59C2	128,2063
(C₄×SD₁₆)⋊₆₀C₂ = C₄².₄₈₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):60C2	128,2064
(C₄×SD₁₆)⋊₆₁C₂ = C₄².₅₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):61C2	128,2100
(C₄×SD₁₆)⋊₆₂C₂ = C₄².₅₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):62C2	128,2103
(C₄×SD₁₆)⋊₆₃C₂ = C₄².₅₁₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):63C2	128,2105
(C₄×SD₁₆)⋊₆₄C₂ = C₄².₅₁₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16):64C2	128,2108
(C₄×SD₁₆)⋊₆₅C₂ = C₄×C₄○D₈	φ: trivial image	64	(C4xSD16):65C2	128,1671

Non-split extensions G=N.Q with N=C₄×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×SD₁₆).₁C₂ = D₄.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).1C2	128,317
(C₄×SD₁₆).₂C₂ = Q₈⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).2C2	128,320
(C₄×SD₁₆).₃C₂ = SD₁₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).3C2	128,310
(C₄×SD₁₆).₄C₂ = C₈⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).4C2	128,324
(C₄×SD₁₆).₅C₂ = SD₁₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).5C2	128,2117
(C₄×SD₁₆).₆C₂ = SD₁₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).6C2	128,2118
(C₄×SD₁₆).₇C₂ = SD₁₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).7C2	128,2120
(C₄×SD₁₆).₈C₂ = C₄².₇₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).8C2	128,2130
(C₄×SD₁₆).₉C₂ = C₈⋊₁₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).9C2	128,314
(C₄×SD₁₆).₁₀C₂ = C₈⋊₁₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).10C2	128,315
(C₄×SD₁₆).₁₁C₂ = C₈⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).11C2	128,322
(C₄×SD₁₆).₁₂C₂ = Q₈⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).12C2	128,2091
(C₄×SD₁₆).₁₃C₂ = C₄².₅₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).13C2	128,2096
(C₄×SD₁₆).₁₄C₂ = Q₈×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).14C2	128,2111
(C₄×SD₁₆).₁₅C₂ = SD₁₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).15C2	128,2113
(C₄×SD₁₆).₁₆C₂ = C₄².₅₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).16C2	128,2101
(C₄×SD₁₆).₁₇C₂ = C₄².₅₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×SD₁₆	64	(C4xSD16).17C2	128,2104
(C₄×SD₁₆).₁₈C₂ = C₈×SD₁₆	φ: trivial image	64	(C4xSD16).18C2	128,308

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Extensions 1→N→G→Q→1 with N=C4×SD16 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×SD₁₆ and Q=C₂