Extensions 1→N→G→Q→1 with N=C₄×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₄×Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Q₁₆		128		C2xC4xQ16	128,1670

Semidirect products G=N:Q with N=C₄×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×Q₁₆)⋊₁C₂ = C₄×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):1C2	128,905
(C₄×Q₁₆)⋊₂C₂ = Q₁₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):2C2	128,939
(C₄×Q₁₆)⋊₃C₂ = C₄².₃₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):3C2	128,1834
(C₄×Q₁₆)⋊₄C₂ = C₄².₂₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):4C2	128,1836
(C₄×Q₁₆)⋊₅C₂ = C₄².₃₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):5C2	128,1856
(C₄×Q₁₆)⋊₆C₂ = C₄².₃₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):6C2	128,1859
(C₄×Q₁₆)⋊₇C₂ = C₄².₃₀₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):7C2	128,1900
(C₄×Q₁₆)⋊₈C₂ = C₄².₃₆₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):8C2	128,1902
(C₄×Q₁₆)⋊₉C₂ = D₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):9C2	128,2018
(C₄×Q₁₆)⋊₁₀C₂ = Q₁₆⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):10C2	128,2019
(C₄×Q₁₆)⋊₁₁C₂ = D₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):11C2	128,2031
(C₄×Q₁₆)⋊₁₂C₂ = C₄².₄₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):12C2	128,2032
(C₄×Q₁₆)⋊₁₃C₂ = C₄².₄₆₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):13C2	128,2036
(C₄×Q₁₆)⋊₁₄C₂ = D₄⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):14C2	128,2070
(C₄×Q₁₆)⋊₁₅C₂ = C₄².₄₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):15C2	128,2074
(C₄×Q₁₆)⋊₁₆C₂ = C₄².₅₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):16C2	128,2096
(C₄×Q₁₆)⋊₁₇C₂ = C₄².₅₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):17C2	128,2097
(C₄×Q₁₆)⋊₁₈C₂ = C₄².₅₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):18C2	128,2128
(C₄×Q₁₆)⋊₁₉C₂ = Q₁₆.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):19C2	128,943
(C₄×Q₁₆)⋊₂₀C₂ = C₄².₄₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):20C2	128,1839
(C₄×Q₁₆)⋊₂₁C₂ = C₄².₂₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):21C2	128,1840
(C₄×Q₁₆)⋊₂₂C₂ = C₄².₃₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):22C2	128,1852
(C₄×Q₁₆)⋊₂₃C₂ = C₄².₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):23C2	128,1853
(C₄×Q₁₆)⋊₂₄C₂ = Q₁₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):24C2	128,2017
(C₄×Q₁₆)⋊₂₅C₂ = C₄².₄₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):25C2	128,2068
(C₄×Q₁₆)⋊₂₆C₂ = C₄².₅₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):26C2	128,2125
(C₄×Q₁₆)⋊₂₇C₂ = C₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):27C2	128,1677
(C₄×Q₁₆)⋊₂₈C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):28C2	128,1679
(C₄×Q₁₆)⋊₂₉C₂ = C₄².₂₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):29C2	128,1904
(C₄×Q₁₆)⋊₃₀C₂ = C₄².₃₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):30C2	128,1910
(C₄×Q₁₆)⋊₃₁C₂ = Q₁₆⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):31C2	128,2009
(C₄×Q₁₆)⋊₃₂C₂ = Q₁₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):32C2	128,2010
(C₄×Q₁₆)⋊₃₃C₂ = C₄².₄₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):33C2	128,2084
(C₄×Q₁₆)⋊₃₄C₂ = C₄².₄₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):34C2	128,2088
(C₄×Q₁₆)⋊₃₅C₂ = C₄².₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):35C2	128,2132
(C₄×Q₁₆)⋊₃₆C₂ = C₄².₅₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):36C2	128,2134
(C₄×Q₁₆)⋊₃₇C₂ = SD₃₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):37C2	128,907
(C₄×Q₁₆)⋊₃₈C₂ = C₄².₂₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):38C2	128,1682
(C₄×Q₁₆)⋊₃₉C₂ = C₄².₂₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):39C2	128,1683
(C₄×Q₁₆)⋊₄₀C₂ = C₄².₃₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):40C2	128,1907
(C₄×Q₁₆)⋊₄₁C₂ = C₄².₃₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):41C2	128,1909
(C₄×Q₁₆)⋊₄₂C₂ = C₄².₄₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):42C2	128,2059
(C₄×Q₁₆)⋊₄₃C₂ = C₄².₄₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):43C2	128,2060
(C₄×Q₁₆)⋊₄₄C₂ = C₄².₄₈₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):44C2	128,2065
(C₄×Q₁₆)⋊₄₅C₂ = C₄².₅₁₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):45C2	128,2107
(C₄×Q₁₆)⋊₄₆C₂ = C₄².₅₁₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	64	(C4xQ16):46C2	128,2109
(C₄×Q₁₆)⋊₄₇C₂ = C₄×C₄○D₈	φ: trivial image	64	(C4xQ16):47C2	128,1671

Non-split extensions G=N.Q with N=C₄×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×Q₁₆).₁C₂ = Q₁₆⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).1C2	128,64
(C₄×Q₁₆).₂C₂ = C₈⋊₉Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).2C2	128,316
(C₄×Q₁₆).₃C₂ = C₈⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).3C2	128,323
(C₄×Q₁₆).₄C₂ = C₄×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).4C2	128,906
(C₄×Q₁₆).₅C₂ = Q₁₆.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).5C2	128,941
(C₄×Q₁₆).₆C₂ = Q₁₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).6C2	128,957
(C₄×Q₁₆).₇C₂ = C₄.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).7C2	128,959
(C₄×Q₁₆).₈C₂ = Q₈⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).8C2	128,2095
(C₄×Q₁₆).₉C₂ = Q₈×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).9C2	128,2114
(C₄×Q₁₆).₁₀C₂ = Q₁₆⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).10C2	128,2115
(C₄×Q₁₆).₁₁C₂ = Q₈⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).11C2	128,2127
(C₄×Q₁₆).₁₂C₂ = Q₈.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).12C2	128,319
(C₄×Q₁₆).₁₃C₂ = Q₁₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).13C2	128,961
(C₄×Q₁₆).₁₄C₂ = Q₁₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).14C2	128,66
(C₄×Q₁₆).₁₅C₂ = Q₁₆⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).15C2	128,311
(C₄×Q₁₆).₁₆C₂ = C₈.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).16C2	128,325
(C₄×Q₁₆).₁₇C₂ = Q₁₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).17C2	128,2119
(C₄×Q₁₆).₁₈C₂ = Q₁₆⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).18C2	128,2122
(C₄×Q₁₆).₁₉C₂ = Q₃₂⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).19C2	128,908
(C₄×Q₁₆).₂₀C₂ = C₄².₅₁₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₁₆	128	(C4xQ16).20C2	128,2106
(C₄×Q₁₆).₂₁C₂ = C₈×Q₁₆	φ: trivial image	128	(C4xQ16).21C2	128,309

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Extensions 1→N→G→Q→1 with N=C4×Q16 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×Q₁₆ and Q=C₂