# Extensions 1→N→G→Q→1 with N=C23.20D4 and Q=C2

Direct product G=N×Q with N=C23.20D4 and Q=C2
dρLabelID
C2×C23.20D464C2xC2^3.20D4128,1820

Semidirect products G=N:Q with N=C23.20D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.20D41C2 = C24.123D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:1C2128,1922
C23.20D42C2 = C24.124D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:2C2128,1923
C23.20D43C2 = C42.285D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:3C2128,1965
C23.20D44C2 = C42.465C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:4C2128,2032
C23.20D45C2 = C42.466C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:5C2128,2033
C23.20D46C2 = C42.467C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:6C2128,2034
C23.20D47C2 = C42.468C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:7C2128,2035
C23.20D48C2 = C42.485C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:8C2128,2068
C23.20D49C2 = C42.486C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:9C2128,2069
C23.20D410C2 = C42.489C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:10C2128,2072
C23.20D411C2 = C42.491C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:11C2128,2074
C23.20D412C2 = C24.116D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:12C2128,1825
C23.20D413C2 = C24.118D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:13C2128,1827
C23.20D414C2 = (C2×D4).302D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:14C2128,1829
C23.20D415C2 = (C2×D4).303D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:15C2128,1830
C23.20D416C2 = (C2×D4).304D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:16C2128,1831
C23.20D417C2 = C42.229D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:17C2128,1843
C23.20D418C2 = C42.234D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:18C2128,1848
C23.20D419C2 = C42.352C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:19C2128,1850
C23.20D420C2 = C42.355C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:20C2128,1853
C23.20D421C2 = C42.357C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:21C2128,1855
C23.20D422C2 = C24.129D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:22C2128,1928
C23.20D423C2 = C24.130D4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:23C2128,1929
C23.20D424C2 = C4.2+ 1+4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:24C2128,1930
C23.20D425C2 = C4.152+ 1+4φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:25C2128,1932
C23.20D426C2 = C4.162+ 1+4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:26C2128,1933
C23.20D427C2 = C4.172+ 1+4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:27C2128,1934
C23.20D428C2 = C42.292D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:28C2128,1972
C23.20D429C2 = C42.425C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:29C2128,1975
C23.20D430C2 = C42.426C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:30C2128,1976
C23.20D431C2 = C42.42C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:31C2128,2039
C23.20D432C2 = C42.46C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:32C2128,2043
C23.20D433C2 = C42.47C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:33C2128,2044
C23.20D434C2 = C42.48C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:34C2128,2045
C23.20D435C2 = C42.50C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:35C2128,2047
C23.20D436C2 = C42.54C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:36C2128,2051
C23.20D437C2 = C42.55C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:37C2128,2052
C23.20D438C2 = C42.56C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:38C2128,2053
C23.20D439C2 = C42.471C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:39C2128,2054
C23.20D440C2 = C42.472C23φ: C2/C1C2 ⊆ Out C23.20D432C2^3.20D4:40C2128,2055
C23.20D441C2 = C42.477C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:41C2128,2060
C23.20D442C2 = C42.478C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:42C2128,2061
C23.20D443C2 = C42.58C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:43C2128,2076
C23.20D444C2 = C42.60C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:44C2128,2078
C23.20D445C2 = C42.62C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:45C2128,2080
C23.20D446C2 = C42.63C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:46C2128,2081
C23.20D447C2 = C42.64C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:47C2128,2082
C23.20D448C2 = C42.492C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:48C2128,2083
C23.20D449C2 = C42.493C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:49C2128,2084
C23.20D450C2 = C42.497C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:50C2128,2088
C23.20D451C2 = C42.498C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4:51C2128,2089
C23.20D452C2 = C24.115D4φ: trivial image32C2^3.20D4:52C2128,1823
C23.20D453C2 = C42.384D4φ: trivial image64C2^3.20D4:53C2128,1834
C23.20D454C2 = C42.451D4φ: trivial image64C2^3.20D4:54C2128,1839

Non-split extensions G=N.Q with N=C23.20D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.20D4.1C2 = C42.283D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4.1C2128,1963
C23.20D4.2C2 = C42.361C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4.2C2128,1859
C23.20D4.3C2 = C42.289D4φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4.3C2128,1969
C23.20D4.4C2 = C42.424C23φ: C2/C1C2 ⊆ Out C23.20D464C2^3.20D4.4C2128,1974

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