Extensions 1→N→G→Q→1 with N=C₄×D₈ and Q=C₂

Direct product G=N×Q with N=C₄×D₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₈		64		C2xC4xD8	128,1668

Semidirect products G=N:Q with N=C₄×D₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×D₈)⋊₁C₂ = C₄×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):1C2	128,904
(C₄×D₈)⋊₂C₂ = D₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):2C2	128,938
(C₄×D₈)⋊₃C₂ = C₄².₂₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):3C2	128,1832
(C₄×D₈)⋊₄C₂ = C₄².₃₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):4C2	128,1834
(C₄×D₈)⋊₅C₂ = C₄².₃₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):5C2	128,1854
(C₄×D₈)⋊₆C₂ = C₄².₃₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):6C2	128,1856
(C₄×D₈)⋊₇C₂ = C₄².₃₀₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):7C2	128,1900
(C₄×D₈)⋊₈C₂ = C₄².₃₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):8C2	128,1901
(C₄×D₈)⋊₉C₂ = D₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):9C2	128,2011
(C₄×D₈)⋊₁₀C₂ = D₈⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):10C2	128,2015
(C₄×D₈)⋊₁₁C₂ = D₄⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):11C2	128,2026
(C₄×D₈)⋊₁₂C₂ = C₄².₄₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):12C2	128,2029
(C₄×D₈)⋊₁₃C₂ = C₄².₄₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):13C2	128,2035
(C₄×D₈)⋊₁₄C₂ = D₄⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):14C2	128,2066
(C₄×D₈)⋊₁₅C₂ = C₄².₄₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):15C2	128,2073
(C₄×D₈)⋊₁₆C₂ = Q₈⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):16C2	128,2090
(C₄×D₈)⋊₁₇C₂ = C₄².₅₀₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):17C2	128,2093
(C₄×D₈)⋊₁₈C₂ = Q₈⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):18C2	128,2123
(C₄×D₈)⋊₁₉C₂ = D₈.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):19C2	128,942
(C₄×D₈)⋊₂₀C₂ = C₄².₂₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):20C2	128,1837
(C₄×D₈)⋊₂₁C₂ = C₄².₄₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):21C2	128,1838
(C₄×D₈)⋊₂₂C₂ = C₄².₃₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):22C2	128,1850
(C₄×D₈)⋊₂₃C₂ = C₄².₃₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):23C2	128,1851
(C₄×D₈)⋊₂₄C₂ = D₈⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):24C2	128,2012
(C₄×D₈)⋊₂₅C₂ = C₄².₄₈₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):25C2	128,2071
(C₄×D₈)⋊₂₆C₂ = C₄².₅₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):26C2	128,2128
(C₄×D₈)⋊₂₇C₂ = C₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):27C2	128,1676
(C₄×D₈)⋊₂₈C₂ = C₄².₂₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):28C2	128,1678
(C₄×D₈)⋊₂₉C₂ = C₄².₂₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):29C2	128,1903
(C₄×D₈)⋊₃₀C₂ = C₄².₃₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):30C2	128,1911
(C₄×D₈)⋊₃₁C₂ = D₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):31C2	128,2004
(C₄×D₈)⋊₃₂C₂ = D₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):32C2	128,2005
(C₄×D₈)⋊₃₃C₂ = C₄².₄₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):33C2	128,2086
(C₄×D₈)⋊₃₄C₂ = C₄².₄₉₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):34C2	128,2087
(C₄×D₈)⋊₃₅C₂ = C₄².₇₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):35C2	128,2129
(C₄×D₈)⋊₃₆C₂ = C₄².₅₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):36C2	128,2135
(C₄×D₈)⋊₃₇C₂ = D₁₆⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):37C2	128,909
(C₄×D₈)⋊₃₈C₂ = C₄².₂₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):38C2	128,1680
(C₄×D₈)⋊₃₉C₂ = C₄².₂₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):39C2	128,1683
(C₄×D₈)⋊₄₀C₂ = C₄².₃₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):40C2	128,1907
(C₄×D₈)⋊₄₁C₂ = C₄².₃₈₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):41C2	128,1908
(C₄×D₈)⋊₄₂C₂ = C₄².₄₇₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):42C2	128,2054
(C₄×D₈)⋊₄₃C₂ = C₄².₄₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	32	(C4xD8):43C2	128,2057
(C₄×D₈)⋊₄₄C₂ = C₄².₄₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):44C2	128,2062
(C₄×D₈)⋊₄₅C₂ = C₄².₅₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):45C2	128,2098
(C₄×D₈)⋊₄₆C₂ = C₄².₅₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8):46C2	128,2102
(C₄×D₈)⋊₄₇C₂ = C₄×C₄○D₈	φ: trivial image	64	(C4xD8):47C2	128,1671

Non-split extensions G=N.Q with N=C₄×D₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×D₈).₁C₂ = C₄.₁₆D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).1C2	128,63
(C₄×D₈).₂C₂ = C₈⋊₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).2C2	128,313
(C₄×D₈).₃C₂ = C₈⋊₆D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).3C2	128,321
(C₄×D₈).₄C₂ = C₄×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).4C2	128,905
(C₄×D₈).₅C₂ = D₈.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).5C2	128,940
(C₄×D₈).₆C₂ = D₈⋊₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).6C2	128,956
(C₄×D₈).₇C₂ = D₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).7C2	128,958
(C₄×D₈).₈C₂ = C₄².₅₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).8C2	128,2092
(C₄×D₈).₉C₂ = Q₈×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).9C2	128,2110
(C₄×D₈).₁₀C₂ = D₈⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).10C2	128,2112
(C₄×D₈).₁₁C₂ = C₄².₅₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).11C2	128,2125
(C₄×D₈).₁₂C₂ = D₄⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).12C2	128,318
(C₄×D₈).₁₃C₂ = D₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).13C2	128,960
(C₄×D₈).₁₄C₂ = D₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).14C2	128,65
(C₄×D₈).₁₅C₂ = D₈⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).15C2	128,312
(C₄×D₈).₁₆C₂ = C₈⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).16C2	128,326
(C₄×D₈).₁₇C₂ = D₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).17C2	128,2116
(C₄×D₈).₁₈C₂ = D₈⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).18C2	128,2121
(C₄×D₈).₁₉C₂ = SD₃₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).19C2	128,907
(C₄×D₈).₂₀C₂ = C₄².₅₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₈	64	(C4xD8).20C2	128,2099
(C₄×D₈).₂₁C₂ = C₈×D₈	φ: trivial image	64	(C4xD8).21C2	128,307

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Extensions 1→N→G→Q→1 with N=C4×D8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×D₈ and Q=C₂