Extensions 1→N→G→Q→1 with N=C₄ and Q=2₊¹⁺⁴

Direct product G=N×Q with N=C₄ and Q=2₊¹⁺⁴

		d	ρ	Label	ID
C₄×2₊¹⁺⁴		32		C4xES+(2,2)	128,2161

Semidirect products G=N:Q with N=C₄ and Q=2₊¹⁺⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁2₊¹⁺⁴ = C₄⋊2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32		C4:1ES+(2,2)	128,2228
C₄⋊₂2₊¹⁺⁴ = C₂².₈₇C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32		C4:2ES+(2,2)	128,2230

Non-split extensions G=N.Q with N=C₄ and Q=2₊¹⁺⁴

extension	φ:Q→Aut N	d	Label	ID
C₄.₁2₊¹⁺⁴ = C₂³⋊₃D₈	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.1ES+(2,2)	128,1918
C₄.₂2₊¹⁺⁴ = C₂³⋊₄SD₁₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.2ES+(2,2)	128,1919
C₄.₃2₊¹⁺⁴ = C₂⁴.₁₂₁D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.3ES+(2,2)	128,1920
C₄.₄2₊¹⁺⁴ = C₂³⋊₃Q₁₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.4ES+(2,2)	128,1921
C₄.₅2₊¹⁺⁴ = C₂⁴.₁₂₃D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.5ES+(2,2)	128,1922
C₄.₆2₊¹⁺⁴ = C₂⁴.₁₂₄D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.6ES+(2,2)	128,1923
C₄.₇2₊¹⁺⁴ = C₂⁴.₁₂₅D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.7ES+(2,2)	128,1924
C₄.₈2₊¹⁺⁴ = C₂⁴.₁₂₆D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.8ES+(2,2)	128,1925
C₄.₉2₊¹⁺⁴ = C₂⁴.₁₂₇D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.9ES+(2,2)	128,1926
C₄.₁₀2₊¹⁺⁴ = C₂⁴.₁₂₈D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.10ES+(2,2)	128,1927
C₄.₁₁2₊¹⁺⁴ = C₂⁴.₁₂₉D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.11ES+(2,2)	128,1928
C₄.₁₂2₊¹⁺⁴ = C₂⁴.₁₃₀D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.12ES+(2,2)	128,1929
C₄.₁₃2₊¹⁺⁴ = C₄.2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.13ES+(2,2)	128,1930
C₄.₁₄2₊¹⁺⁴ = C₄.₁₄2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.14ES+(2,2)	128,1931
C₄.₁₅2₊¹⁺⁴ = C₄.₁₅2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.15ES+(2,2)	128,1932
C₄.₁₆2₊¹⁺⁴ = C₄.₁₆2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.16ES+(2,2)	128,1933
C₄.₁₇2₊¹⁺⁴ = C₄.₁₇2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.17ES+(2,2)	128,1934
C₄.₁₈2₊¹⁺⁴ = C₄.₁₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.18ES+(2,2)	128,1935
C₄.₁₉2₊¹⁺⁴ = C₄.₁₉2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.19ES+(2,2)	128,1936
C₄.₂₀2₊¹⁺⁴ = C₄².₂₉₃D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.20ES+(2,2)	128,1977
C₄.₂₁2₊¹⁺⁴ = C₄².₂₉₄D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.21ES+(2,2)	128,1978
C₄.₂₂2₊¹⁺⁴ = C₄².₂₉₅D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.22ES+(2,2)	128,1979
C₄.₂₃2₊¹⁺⁴ = C₄².₂₉₆D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.23ES+(2,2)	128,1980
C₄.₂₄2₊¹⁺⁴ = C₄².₂₉₇D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.24ES+(2,2)	128,1981
C₄.₂₅2₊¹⁺⁴ = C₄².₂₉₈D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.25ES+(2,2)	128,1982
C₄.₂₆2₊¹⁺⁴ = C₄².₂₉₉D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.26ES+(2,2)	128,1983
C₄.₂₇2₊¹⁺⁴ = C₄².₃₀₀D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.27ES+(2,2)	128,1984
C₄.₂₈2₊¹⁺⁴ = C₄².₃₀₁D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.28ES+(2,2)	128,1985
C₄.₂₉2₊¹⁺⁴ = C₄².₃₀₂D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.29ES+(2,2)	128,1986
C₄.₃₀2₊¹⁺⁴ = C₄².₃₀₃D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.30ES+(2,2)	128,1987
C₄.₃₁2₊¹⁺⁴ = C₄².₃₀₄D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.31ES+(2,2)	128,1988
C₄.₃₂2₊¹⁺⁴ = C₄.2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.32ES+(2,2)	128,1989
C₄.₃₃2₊¹⁺⁴ = C₄².₂₅C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.33ES+(2,2)	128,1990
C₄.₃₄2₊¹⁺⁴ = C₄².₂₆C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.34ES+(2,2)	128,1991
C₄.₃₅2₊¹⁺⁴ = C₄².₂₇C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.35ES+(2,2)	128,1992
C₄.₃₆2₊¹⁺⁴ = C₄².₂₈C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.36ES+(2,2)	128,1993
C₄.₃₇2₊¹⁺⁴ = C₄².₂₉C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.37ES+(2,2)	128,1994
C₄.₃₈2₊¹⁺⁴ = C₄².₃₀C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.38ES+(2,2)	128,1995
C₄.₃₉2₊¹⁺⁴ = D₄⋊₄D₈	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.39ES+(2,2)	128,2026
C₄.₄₀2₊¹⁺⁴ = D₄⋊₇SD₁₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.40ES+(2,2)	128,2027
C₄.₄₁2₊¹⁺⁴ = C₄².₄₆₁C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.41ES+(2,2)	128,2028
C₄.₄₂2₊¹⁺⁴ = C₄².₄₆₂C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.42ES+(2,2)	128,2029
C₄.₄₃2₊¹⁺⁴ = D₄⋊₈SD₁₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.43ES+(2,2)	128,2030
C₄.₄₄2₊¹⁺⁴ = D₄⋊₅Q₁₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.44ES+(2,2)	128,2031
C₄.₄₅2₊¹⁺⁴ = C₄².₄₆₅C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.45ES+(2,2)	128,2032
C₄.₄₆2₊¹⁺⁴ = C₄².₄₆₆C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.46ES+(2,2)	128,2033
C₄.₄₇2₊¹⁺⁴ = C₄².₄₆₇C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.47ES+(2,2)	128,2034
C₄.₄₈2₊¹⁺⁴ = C₄².₄₆₈C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.48ES+(2,2)	128,2035
C₄.₄₉2₊¹⁺⁴ = C₄².₄₆₉C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.49ES+(2,2)	128,2036
C₄.₅₀2₊¹⁺⁴ = C₄².₄₇₀C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.50ES+(2,2)	128,2037
C₄.₅₁2₊¹⁺⁴ = C₄².₄₁C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.51ES+(2,2)	128,2038
C₄.₅₂2₊¹⁺⁴ = C₄².₄₂C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.52ES+(2,2)	128,2039
C₄.₅₃2₊¹⁺⁴ = C₄².₄₃C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.53ES+(2,2)	128,2040
C₄.₅₄2₊¹⁺⁴ = C₄².₄₄C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.54ES+(2,2)	128,2041
C₄.₅₅2₊¹⁺⁴ = C₄².₄₅C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.55ES+(2,2)	128,2042
C₄.₅₆2₊¹⁺⁴ = C₄².₄₆C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.56ES+(2,2)	128,2043
C₄.₅₇2₊¹⁺⁴ = C₄².₄₇C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.57ES+(2,2)	128,2044
C₄.₅₈2₊¹⁺⁴ = C₄².₄₈C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.58ES+(2,2)	128,2045
C₄.₅₉2₊¹⁺⁴ = C₄².₄₉C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.59ES+(2,2)	128,2046
C₄.₆₀2₊¹⁺⁴ = C₄².₅₀C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.60ES+(2,2)	128,2047
C₄.₆₁2₊¹⁺⁴ = C₄².₅₁C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.61ES+(2,2)	128,2048
C₄.₆₂2₊¹⁺⁴ = C₄².₅₂C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.62ES+(2,2)	128,2049
C₄.₆₃2₊¹⁺⁴ = C₄².₅₃C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.63ES+(2,2)	128,2050
C₄.₆₄2₊¹⁺⁴ = C₄².₅₄C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.64ES+(2,2)	128,2051
C₄.₆₅2₊¹⁺⁴ = C₄².₅₅C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.65ES+(2,2)	128,2052
C₄.₆₆2₊¹⁺⁴ = C₄².₅₆C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.66ES+(2,2)	128,2053
C₄.₆₇2₊¹⁺⁴ = C₄².₄₇₁C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.67ES+(2,2)	128,2054
C₄.₆₈2₊¹⁺⁴ = C₄².₄₇₂C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.68ES+(2,2)	128,2055
C₄.₆₉2₊¹⁺⁴ = C₄².₄₇₃C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.69ES+(2,2)	128,2056
C₄.₇₀2₊¹⁺⁴ = C₄².₄₇₄C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.70ES+(2,2)	128,2057
C₄.₇₁2₊¹⁺⁴ = C₄².₄₇₅C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.71ES+(2,2)	128,2058
C₄.₇₂2₊¹⁺⁴ = C₄².₄₇₆C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.72ES+(2,2)	128,2059
C₄.₇₃2₊¹⁺⁴ = C₄².₄₇₇C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.73ES+(2,2)	128,2060
C₄.₇₄2₊¹⁺⁴ = C₄².₄₇₈C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.74ES+(2,2)	128,2061
C₄.₇₅2₊¹⁺⁴ = C₄².₄₇₉C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.75ES+(2,2)	128,2062
C₄.₇₆2₊¹⁺⁴ = C₄².₄₈₀C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.76ES+(2,2)	128,2063
C₄.₇₇2₊¹⁺⁴ = C₄².₄₈₁C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.77ES+(2,2)	128,2064
C₄.₇₈2₊¹⁺⁴ = C₄².₄₈₂C₂³	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.78ES+(2,2)	128,2065
C₄.₇₉2₊¹⁺⁴ = C₂².₉₀C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.79ES+(2,2)	128,2233
C₄.₈₀2₊¹⁺⁴ = C₂².₉₄C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.80ES+(2,2)	128,2237
C₄.₈₁2₊¹⁺⁴ = C₂².₉₅C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.81ES+(2,2)	128,2238
C₄.₈₂2₊¹⁺⁴ = C₂².₁₀₈C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.82ES+(2,2)	128,2251
C₄.₈₃2₊¹⁺⁴ = C₂³.₁₄₄C₂⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.83ES+(2,2)	128,2252
C₄.₈₄2₊¹⁺⁴ = C₂².₁₂₅C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.84ES+(2,2)	128,2268
C₄.₈₅2₊¹⁺⁴ = C₂².₁₂₆C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.85ES+(2,2)	128,2269
C₄.₈₆2₊¹⁺⁴ = C₂².₁₂₇C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.86ES+(2,2)	128,2270
C₄.₈₇2₊¹⁺⁴ = C₂².₁₂₈C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.87ES+(2,2)	128,2271
C₄.₈₈2₊¹⁺⁴ = C₂².₁₂₉C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.88ES+(2,2)	128,2272
C₄.₈₉2₊¹⁺⁴ = C₂².₁₃₀C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.89ES+(2,2)	128,2273
C₄.₉₀2₊¹⁺⁴ = C₂².₁₃₁C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.90ES+(2,2)	128,2274
C₄.₉₁2₊¹⁺⁴ = C₂².₁₃₅C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.91ES+(2,2)	128,2278
C₄.₉₂2₊¹⁺⁴ = C₂².₁₃₆C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.92ES+(2,2)	128,2279
C₄.₉₃2₊¹⁺⁴ = C₂².₁₃₇C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.93ES+(2,2)	128,2280
C₄.₉₄2₊¹⁺⁴ = C₂².₁₃₈C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.94ES+(2,2)	128,2281
C₄.₉₅2₊¹⁺⁴ = C₂².₁₃₉C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	64	C4.95ES+(2,2)	128,2282
C₄.₉₆2₊¹⁺⁴ = C₂².₁₄₀C₂⁵	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₄	32	C4.96ES+(2,2)	128,2283
C₄.₉₇2₊¹⁺⁴ = C₄².₂₆₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.97ES+(2,2)	128,1937
C₄.₉₈2₊¹⁺⁴ = C₄².₂₆₄D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.98ES+(2,2)	128,1938
C₄.₉₉2₊¹⁺⁴ = C₄².₂₆₅D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.99ES+(2,2)	128,1939
C₄.₁₀₀2₊¹⁺⁴ = C₄².₂₆₆D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.100ES+(2,2)	128,1940
C₄.₁₀₁2₊¹⁺⁴ = C₄².₂₆₇D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.101ES+(2,2)	128,1941
C₄.₁₀₂2₊¹⁺⁴ = C₄².₂₆₈D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.102ES+(2,2)	128,1942
C₄.₁₀₃2₊¹⁺⁴ = C₄².₂₆₉D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.103ES+(2,2)	128,1943
C₄.₁₀₄2₊¹⁺⁴ = C₄².₂₇₀D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.104ES+(2,2)	128,1944
C₄.₁₀₅2₊¹⁺⁴ = C₄².₂₇₁D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.105ES+(2,2)	128,1945
C₄.₁₀₆2₊¹⁺⁴ = C₄².₂₇₂D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.106ES+(2,2)	128,1946
C₄.₁₀₇2₊¹⁺⁴ = C₄².₂₇₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.107ES+(2,2)	128,1947
C₄.₁₀₈2₊¹⁺⁴ = C₄².₂₇₄D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.108ES+(2,2)	128,1948
C₄.₁₀₉2₊¹⁺⁴ = C₄².₂₇₅D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.109ES+(2,2)	128,1949
C₄.₁₁₀2₊¹⁺⁴ = C₄².₂₇₆D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.110ES+(2,2)	128,1950
C₄.₁₁₁2₊¹⁺⁴ = C₄².₂₇₇D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.111ES+(2,2)	128,1951
C₄.₁₁₂2₊¹⁺⁴ = C₄².₄₀₆C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.112ES+(2,2)	128,1952
C₄.₁₁₃2₊¹⁺⁴ = C₄².₄₀₇C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.113ES+(2,2)	128,1953
C₄.₁₁₄2₊¹⁺⁴ = C₄².₄₀₈C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.114ES+(2,2)	128,1954
C₄.₁₁₅2₊¹⁺⁴ = C₄².₄₀₉C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.115ES+(2,2)	128,1955
C₄.₁₁₆2₊¹⁺⁴ = C₄².₄₁₀C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.116ES+(2,2)	128,1956
C₄.₁₁₇2₊¹⁺⁴ = C₄².₄₁₁C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.117ES+(2,2)	128,1957
C₄.₁₁₈2₊¹⁺⁴ = D₈⋊₉D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.118ES+(2,2)	128,1996
C₄.₁₁₉2₊¹⁺⁴ = SD₁₆⋊D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.119ES+(2,2)	128,1997
C₄.₁₂₀2₊¹⁺⁴ = SD₁₆⋊₆D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.120ES+(2,2)	128,1998
C₄.₁₂₁2₊¹⁺⁴ = D₈⋊₁₀D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.121ES+(2,2)	128,1999
C₄.₁₂₂2₊¹⁺⁴ = SD₁₆⋊₇D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.122ES+(2,2)	128,2000
C₄.₁₂₃2₊¹⁺⁴ = SD₁₆⋊₈D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.123ES+(2,2)	128,2001
C₄.₁₂₄2₊¹⁺⁴ = Q₁₆⋊₉D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.124ES+(2,2)	128,2002
C₄.₁₂₅2₊¹⁺⁴ = Q₁₆⋊₁₀D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.125ES+(2,2)	128,2003
C₄.₁₂₆2₊¹⁺⁴ = D₈⋊₄D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.126ES+(2,2)	128,2004
C₄.₁₂₇2₊¹⁺⁴ = D₈⋊₅D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.127ES+(2,2)	128,2005
C₄.₁₂₈2₊¹⁺⁴ = SD₁₆⋊₁D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.128ES+(2,2)	128,2006
C₄.₁₂₉2₊¹⁺⁴ = SD₁₆⋊₂D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.129ES+(2,2)	128,2007
C₄.₁₃₀2₊¹⁺⁴ = SD₁₆⋊₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.130ES+(2,2)	128,2008
C₄.₁₃₁2₊¹⁺⁴ = Q₁₆⋊₄D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.131ES+(2,2)	128,2009
C₄.₁₃₂2₊¹⁺⁴ = Q₁₆⋊₅D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.132ES+(2,2)	128,2010
C₄.₁₃₃2₊¹⁺⁴ = D₄×D₈	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.133ES+(2,2)	128,2011
C₄.₁₃₄2₊¹⁺⁴ = D₈⋊₁₂D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.134ES+(2,2)	128,2012
C₄.₁₃₅2₊¹⁺⁴ = D₄×SD₁₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.135ES+(2,2)	128,2013
C₄.₁₃₆2₊¹⁺⁴ = SD₁₆⋊₁₀D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.136ES+(2,2)	128,2014
C₄.₁₃₇2₊¹⁺⁴ = D₈⋊₁₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.137ES+(2,2)	128,2015
C₄.₁₃₈2₊¹⁺⁴ = SD₁₆⋊₁₁D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.138ES+(2,2)	128,2016
C₄.₁₃₉2₊¹⁺⁴ = Q₁₆⋊₁₂D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.139ES+(2,2)	128,2017
C₄.₁₄₀2₊¹⁺⁴ = D₄×Q₁₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.140ES+(2,2)	128,2018
C₄.₁₄₁2₊¹⁺⁴ = Q₁₆⋊₁₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.141ES+(2,2)	128,2019
C₄.₁₄₂2₊¹⁺⁴ = Q₈⋊₅D₈	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.142ES+(2,2)	128,2123
C₄.₁₄₃2₊¹⁺⁴ = Q₈⋊₉SD₁₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.143ES+(2,2)	128,2124
C₄.₁₄₄2₊¹⁺⁴ = C₄².₅₂₇C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.144ES+(2,2)	128,2125
C₄.₁₄₅2₊¹⁺⁴ = C₄².₅₂₈C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.145ES+(2,2)	128,2126
C₄.₁₄₆2₊¹⁺⁴ = Q₈⋊₆Q₁₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	128	C4.146ES+(2,2)	128,2127
C₄.₁₄₇2₊¹⁺⁴ = C₄².₅₃₀C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.147ES+(2,2)	128,2128
C₄.₁₄₈2₊¹⁺⁴ = C₄².₇₂C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.148ES+(2,2)	128,2129
C₄.₁₄₉2₊¹⁺⁴ = C₄².₇₃C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.149ES+(2,2)	128,2130
C₄.₁₅₀2₊¹⁺⁴ = C₄².₇₄C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.150ES+(2,2)	128,2131
C₄.₁₅₁2₊¹⁺⁴ = C₄².₇₅C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.151ES+(2,2)	128,2132
C₄.₁₅₂2₊¹⁺⁴ = C₄².₅₃₁C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.152ES+(2,2)	128,2133
C₄.₁₅₃2₊¹⁺⁴ = C₄².₅₃₂C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.153ES+(2,2)	128,2134
C₄.₁₅₄2₊¹⁺⁴ = C₄².₅₃₃C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.154ES+(2,2)	128,2135
C₄.₁₅₅2₊¹⁺⁴ = C₂².₉₂C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.155ES+(2,2)	128,2235
C₄.₁₅₆2₊¹⁺⁴ = C₂².₉₇C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.156ES+(2,2)	128,2240
C₄.₁₅₇2₊¹⁺⁴ = C₂².₁₀₀C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.157ES+(2,2)	128,2243
C₄.₁₅₈2₊¹⁺⁴ = C₂².₁₀₃C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.158ES+(2,2)	128,2246
C₄.₁₅₉2₊¹⁺⁴ = C₂².₁₀₆C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.159ES+(2,2)	128,2249
C₄.₁₆₀2₊¹⁺⁴ = C₂².₁₃₂C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.160ES+(2,2)	128,2275
C₄.₁₆₁2₊¹⁺⁴ = C₂².₁₄₁C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.161ES+(2,2)	128,2284
C₄.₁₆₂2₊¹⁺⁴ = C₂².₁₄₃C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	64	C4.162ES+(2,2)	128,2286
C₄.₁₆₃2₊¹⁺⁴ = C₂².₁₄₇C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.163ES+(2,2)	128,2290
C₄.₁₆₄2₊¹⁺⁴ = C₂².₁₅₀C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.164ES+(2,2)	128,2293
C₄.₁₆₅2₊¹⁺⁴ = C₂².₁₅₁C₂⁵	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₄	32	C4.165ES+(2,2)	128,2294
C₄.₁₆₆2₊¹⁺⁴ = C₄².₆₉₁C₂³	central extension (φ=1)	32	C4.166ES+(2,2)	128,1704
C₄.₁₆₇2₊¹⁺⁴ = C₂³⋊₃M₄(2)	central extension (φ=1)	32	C4.167ES+(2,2)	128,1705
C₄.₁₆₈2₊¹⁺⁴ = D₄⋊₇M₄(2)	central extension (φ=1)	32	C4.168ES+(2,2)	128,1706
C₄.₁₆₉2₊¹⁺⁴ = C₄².₆₉₃C₂³	central extension (φ=1)	32	C4.169ES+(2,2)	128,1707
C₄.₁₇₀2₊¹⁺⁴ = C₄².₂₉₇C₂³	central extension (φ=1)	32	C4.170ES+(2,2)	128,1708
C₄.₁₇₁2₊¹⁺⁴ = C₄².₂₉₈C₂³	central extension (φ=1)	32	C4.171ES+(2,2)	128,1709
C₄.₁₇₂2₊¹⁺⁴ = C₄².₂₉₉C₂³	central extension (φ=1)	32	C4.172ES+(2,2)	128,1710
C₄.₁₇₃2₊¹⁺⁴ = C₄².₆₉₄C₂³	central extension (φ=1)	64	C4.173ES+(2,2)	128,1711
C₄.₁₇₄2₊¹⁺⁴ = C₄².₃₀₀C₂³	central extension (φ=1)	64	C4.174ES+(2,2)	128,1712
C₄.₁₇₅2₊¹⁺⁴ = C₄².₃₀₁C₂³	central extension (φ=1)	64	C4.175ES+(2,2)	128,1713
C₄.₁₇₆2₊¹⁺⁴ = C₄².₆₉₇C₂³	central extension (φ=1)	64	C4.176ES+(2,2)	128,1720
C₄.₁₇₇2₊¹⁺⁴ = C₄².₆₉₈C₂³	central extension (φ=1)	64	C4.177ES+(2,2)	128,1721
C₄.₁₇₈2₊¹⁺⁴ = D₄⋊₈M₄(2)	central extension (φ=1)	64	C4.178ES+(2,2)	128,1722
C₄.₁₇₉2₊¹⁺⁴ = Q₈⋊₇M₄(2)	central extension (φ=1)	64	C4.179ES+(2,2)	128,1723
C₄.₁₈₀2₊¹⁺⁴ = C₄².₃₀₇C₂³	central extension (φ=1)	64	C4.180ES+(2,2)	128,1724
C₄.₁₈₁2₊¹⁺⁴ = C₄².₃₀₈C₂³	central extension (φ=1)	64	C4.181ES+(2,2)	128,1725
C₄.₁₈₂2₊¹⁺⁴ = C₄².₃₀₉C₂³	central extension (φ=1)	64	C4.182ES+(2,2)	128,1726
C₄.₁₈₃2₊¹⁺⁴ = C₄².₃₁₀C₂³	central extension (φ=1)	64	C4.183ES+(2,2)	128,1727
C₄.₁₈₄2₊¹⁺⁴ = C₂².₄₈C₂⁵	central extension (φ=1)	32	C4.184ES+(2,2)	128,2191
C₄.₁₈₅2₊¹⁺⁴ = C₂².₄₉C₂⁵	central extension (φ=1)	32	C4.185ES+(2,2)	128,2192
C₄.₁₈₆2₊¹⁺⁴ = C₂².₇₀C₂⁵	central extension (φ=1)	32	C4.186ES+(2,2)	128,2213
C₄.₁₈₇2₊¹⁺⁴ = C₂².₇₂C₂⁵	central extension (φ=1)	64	C4.187ES+(2,2)	128,2215
C₄.₁₈₈2₊¹⁺⁴ = C₂².₁₁₈C₂⁵	central extension (φ=1)	32	C4.188ES+(2,2)	128,2261

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Extensions 1→N→G→Q→1 with N=C4 and Q=2+ 1+4

Extensions 1→N→G→Q→1 with N=C₄ and Q=2₊¹⁺⁴