Extensions 1→N→G→Q→1 with N=C₂²⋊Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₂²⋊Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊Q₁₆		64		C2xC2^2:Q16	128,1731

Semidirect products G=N:Q with N=C₂²⋊Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₁₆⋊₁C₂ = C₂³⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:1C2	128,334
C₂²⋊Q₁₆⋊₂C₂ = C₄⋊C₄.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:2C2	128,335
C₂²⋊Q₁₆⋊₃C₂ = C₂⁴.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:3C2	128,338
C₂²⋊Q₁₆⋊₄C₂ = C₂³⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:4C2	128,1921
C₂²⋊Q₁₆⋊₅C₂ = C₂⁴.₁₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:5C2	128,1922
C₂²⋊Q₁₆⋊₆C₂ = C₄².₂₆₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:6C2	128,1943
C₂²⋊Q₁₆⋊₇C₂ = SD₁₆⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:7C2	128,2014
C₂²⋊Q₁₆⋊₈C₂ = D₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:8C2	128,2018
C₂²⋊Q₁₆⋊₉C₂ = D₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:9C2	128,2031
C₂²⋊Q₁₆⋊₁₀C₂ = C₄².₄₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:10C2	128,2032
C₂²⋊Q₁₆⋊₁₁C₂ = C₂⁴.₁₇₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:11C2	128,1736
C₂²⋊Q₁₆⋊₁₂C₂ = C₂⁴.₁₀₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:12C2	128,1739
C₂²⋊Q₁₆⋊₁₃C₂ = Q₈.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:13C2	128,1743
C₂²⋊Q₁₆⋊₁₄C₂ = (C₂×Q₈)⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:14C2	128,1745
C₂²⋊Q₁₆⋊₁₅C₂ = C₄².₂₃₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:15C2	128,1849
C₂²⋊Q₁₆⋊₁₆C₂ = C₄².₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:16C2	128,1853
C₂²⋊Q₁₆⋊₁₇C₂ = C₂⁴.₁₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:17C2	128,1927
C₂²⋊Q₁₆⋊₁₈C₂ = C₂⁴.₁₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:18C2	128,1928
C₂²⋊Q₁₆⋊₁₉C₂ = C₄.₁₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:19C2	128,1933
C₂²⋊Q₁₆⋊₂₀C₂ = C₄.₁₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:20C2	128,1934
C₂²⋊Q₁₆⋊₂₁C₂ = C₄².₂₇₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:21C2	128,1947
C₂²⋊Q₁₆⋊₂₂C₂ = C₄².₂₇₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:22C2	128,1950
C₂²⋊Q₁₆⋊₂₃C₂ = C₄².₄₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:23C2	128,1955
C₂²⋊Q₁₆⋊₂₄C₂ = C₄².₄₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:24C2	128,1957
C₂²⋊Q₁₆⋊₂₅C₂ = SD₁₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16:25C2	128,1998
C₂²⋊Q₁₆⋊₂₆C₂ = SD₁₆⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:26C2	128,2001
C₂²⋊Q₁₆⋊₂₇C₂ = Q₁₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:27C2	128,2002
C₂²⋊Q₁₆⋊₂₈C₂ = SD₁₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:28C2	128,2008
C₂²⋊Q₁₆⋊₂₉C₂ = Q₁₆⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:29C2	128,2009
C₂²⋊Q₁₆⋊₃₀C₂ = C₄².₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:30C2	128,2044
C₂²⋊Q₁₆⋊₃₁C₂ = C₄².₄₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:31C2	128,2045
C₂²⋊Q₁₆⋊₃₂C₂ = C₄².₅₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:32C2	128,2048
C₂²⋊Q₁₆⋊₃₃C₂ = C₄².₄₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:33C2	128,2059
C₂²⋊Q₁₆⋊₃₄C₂ = C₄².₄₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16:34C2	128,2060
C₂²⋊Q₁₆⋊₃₅C₂ = C₂⁴.₁₀₃D₄	φ: trivial image	32	C2^2:Q16:35C2	128,1734
C₂²⋊Q₁₆⋊₃₆C₂ = C₄².₂₂₆D₄	φ: trivial image	64	C2^2:Q16:36C2	128,1840

Non-split extensions G=N.Q with N=C₂²⋊Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₁₆.₁C₂ = (C₂×C₄)⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	32	C2^2:Q16.1C2	128,337
C₂²⋊Q₁₆.₂C₂ = C₄².₂₆₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16.2C2	128,1941
C₂²⋊Q₁₆.₃C₂ = C₄².₂₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16.3C2	128,1845
C₂²⋊Q₁₆.₄C₂ = C₄².₃₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₁₆	64	C2^2:Q16.4C2	128,1859
C₂²⋊Q₁₆.₅C₂ = C₄².₂₂₄D₄	φ: trivial image	64	C2^2:Q16.5C2	128,1836

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Extensions 1→N→G→Q→1 with N=C22⋊Q16 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²⋊Q₁₆ and Q=C₂