# 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
dρLabelID
C4×2+ 1+432C4xES+(2,2)128,2161

Semidirect products G=N:Q with N=C4 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C412+ 1+4 = C4⋊2+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4:1ES+(2,2)128,2228
C422+ 1+4 = C22.87C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4:2ES+(2,2)128,2230

Non-split extensions G=N.Q with N=C4 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C4.12+ 1+4 = C233D8φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.1ES+(2,2)128,1918
C4.22+ 1+4 = C234SD16φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.2ES+(2,2)128,1919
C4.32+ 1+4 = C24.121D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.3ES+(2,2)128,1920
C4.42+ 1+4 = C233Q16φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.4ES+(2,2)128,1921
C4.52+ 1+4 = C24.123D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.5ES+(2,2)128,1922
C4.62+ 1+4 = C24.124D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.6ES+(2,2)128,1923
C4.72+ 1+4 = C24.125D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.7ES+(2,2)128,1924
C4.82+ 1+4 = C24.126D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.8ES+(2,2)128,1925
C4.92+ 1+4 = C24.127D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.9ES+(2,2)128,1926
C4.102+ 1+4 = C24.128D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.10ES+(2,2)128,1927
C4.112+ 1+4 = C24.129D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.11ES+(2,2)128,1928
C4.122+ 1+4 = C24.130D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.12ES+(2,2)128,1929
C4.132+ 1+4 = C4.2+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.13ES+(2,2)128,1930
C4.142+ 1+4 = C4.142+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.14ES+(2,2)128,1931
C4.152+ 1+4 = C4.152+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.15ES+(2,2)128,1932
C4.162+ 1+4 = C4.162+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.16ES+(2,2)128,1933
C4.172+ 1+4 = C4.172+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.17ES+(2,2)128,1934
C4.182+ 1+4 = C4.182+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.18ES+(2,2)128,1935
C4.192+ 1+4 = C4.192+ 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.19ES+(2,2)128,1936
C4.202+ 1+4 = C42.293D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.20ES+(2,2)128,1977
C4.212+ 1+4 = C42.294D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.21ES+(2,2)128,1978
C4.222+ 1+4 = C42.295D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.22ES+(2,2)128,1979
C4.232+ 1+4 = C42.296D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.23ES+(2,2)128,1980
C4.242+ 1+4 = C42.297D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.24ES+(2,2)128,1981
C4.252+ 1+4 = C42.298D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.25ES+(2,2)128,1982
C4.262+ 1+4 = C42.299D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.26ES+(2,2)128,1983
C4.272+ 1+4 = C42.300D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.27ES+(2,2)128,1984
C4.282+ 1+4 = C42.301D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.28ES+(2,2)128,1985
C4.292+ 1+4 = C42.302D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.29ES+(2,2)128,1986
C4.302+ 1+4 = C42.303D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.30ES+(2,2)128,1987
C4.312+ 1+4 = C42.304D4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.31ES+(2,2)128,1988
C4.322+ 1+4 = C4.2- 1+4φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.32ES+(2,2)128,1989
C4.332+ 1+4 = C42.25C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.33ES+(2,2)128,1990
C4.342+ 1+4 = C42.26C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.34ES+(2,2)128,1991
C4.352+ 1+4 = C42.27C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.35ES+(2,2)128,1992
C4.362+ 1+4 = C42.28C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.36ES+(2,2)128,1993
C4.372+ 1+4 = C42.29C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.37ES+(2,2)128,1994
C4.382+ 1+4 = C42.30C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.38ES+(2,2)128,1995
C4.392+ 1+4 = D44D8φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.39ES+(2,2)128,2026
C4.402+ 1+4 = D47SD16φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.40ES+(2,2)128,2027
C4.412+ 1+4 = C42.461C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.41ES+(2,2)128,2028
C4.422+ 1+4 = C42.462C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.42ES+(2,2)128,2029
C4.432+ 1+4 = D48SD16φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.43ES+(2,2)128,2030
C4.442+ 1+4 = D45Q16φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.44ES+(2,2)128,2031
C4.452+ 1+4 = C42.465C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.45ES+(2,2)128,2032
C4.462+ 1+4 = C42.466C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.46ES+(2,2)128,2033
C4.472+ 1+4 = C42.467C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.47ES+(2,2)128,2034
C4.482+ 1+4 = C42.468C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.48ES+(2,2)128,2035
C4.492+ 1+4 = C42.469C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.49ES+(2,2)128,2036
C4.502+ 1+4 = C42.470C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.50ES+(2,2)128,2037
C4.512+ 1+4 = C42.41C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.51ES+(2,2)128,2038
C4.522+ 1+4 = C42.42C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.52ES+(2,2)128,2039
C4.532+ 1+4 = C42.43C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.53ES+(2,2)128,2040
C4.542+ 1+4 = C42.44C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.54ES+(2,2)128,2041
C4.552+ 1+4 = C42.45C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.55ES+(2,2)128,2042
C4.562+ 1+4 = C42.46C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.56ES+(2,2)128,2043
C4.572+ 1+4 = C42.47C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.57ES+(2,2)128,2044
C4.582+ 1+4 = C42.48C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.58ES+(2,2)128,2045
C4.592+ 1+4 = C42.49C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.59ES+(2,2)128,2046
C4.602+ 1+4 = C42.50C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.60ES+(2,2)128,2047
C4.612+ 1+4 = C42.51C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.61ES+(2,2)128,2048
C4.622+ 1+4 = C42.52C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.62ES+(2,2)128,2049
C4.632+ 1+4 = C42.53C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.63ES+(2,2)128,2050
C4.642+ 1+4 = C42.54C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.64ES+(2,2)128,2051
C4.652+ 1+4 = C42.55C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.65ES+(2,2)128,2052
C4.662+ 1+4 = C42.56C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.66ES+(2,2)128,2053
C4.672+ 1+4 = C42.471C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.67ES+(2,2)128,2054
C4.682+ 1+4 = C42.472C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.68ES+(2,2)128,2055
C4.692+ 1+4 = C42.473C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.69ES+(2,2)128,2056
C4.702+ 1+4 = C42.474C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.70ES+(2,2)128,2057
C4.712+ 1+4 = C42.475C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.71ES+(2,2)128,2058
C4.722+ 1+4 = C42.476C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.72ES+(2,2)128,2059
C4.732+ 1+4 = C42.477C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.73ES+(2,2)128,2060
C4.742+ 1+4 = C42.478C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.74ES+(2,2)128,2061
C4.752+ 1+4 = C42.479C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.75ES+(2,2)128,2062
C4.762+ 1+4 = C42.480C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.76ES+(2,2)128,2063
C4.772+ 1+4 = C42.481C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.77ES+(2,2)128,2064
C4.782+ 1+4 = C42.482C23φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.78ES+(2,2)128,2065
C4.792+ 1+4 = C22.90C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.79ES+(2,2)128,2233
C4.802+ 1+4 = C22.94C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.80ES+(2,2)128,2237
C4.812+ 1+4 = C22.95C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.81ES+(2,2)128,2238
C4.822+ 1+4 = C22.108C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.82ES+(2,2)128,2251
C4.832+ 1+4 = C23.144C24φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.83ES+(2,2)128,2252
C4.842+ 1+4 = C22.125C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.84ES+(2,2)128,2268
C4.852+ 1+4 = C22.126C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.85ES+(2,2)128,2269
C4.862+ 1+4 = C22.127C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.86ES+(2,2)128,2270
C4.872+ 1+4 = C22.128C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.87ES+(2,2)128,2271
C4.882+ 1+4 = C22.129C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.88ES+(2,2)128,2272
C4.892+ 1+4 = C22.130C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.89ES+(2,2)128,2273
C4.902+ 1+4 = C22.131C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.90ES+(2,2)128,2274
C4.912+ 1+4 = C22.135C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.91ES+(2,2)128,2278
C4.922+ 1+4 = C22.136C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.92ES+(2,2)128,2279
C4.932+ 1+4 = C22.137C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.93ES+(2,2)128,2280
C4.942+ 1+4 = C22.138C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.94ES+(2,2)128,2281
C4.952+ 1+4 = C22.139C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C464C4.95ES+(2,2)128,2282
C4.962+ 1+4 = C22.140C25φ: 2+ 1+4/C2×D4C2 ⊆ Aut C432C4.96ES+(2,2)128,2283
C4.972+ 1+4 = C42.263D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.97ES+(2,2)128,1937
C4.982+ 1+4 = C42.264D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.98ES+(2,2)128,1938
C4.992+ 1+4 = C42.265D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.99ES+(2,2)128,1939
C4.1002+ 1+4 = C42.266D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.100ES+(2,2)128,1940
C4.1012+ 1+4 = C42.267D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.101ES+(2,2)128,1941
C4.1022+ 1+4 = C42.268D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.102ES+(2,2)128,1942
C4.1032+ 1+4 = C42.269D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.103ES+(2,2)128,1943
C4.1042+ 1+4 = C42.270D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.104ES+(2,2)128,1944
C4.1052+ 1+4 = C42.271D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.105ES+(2,2)128,1945
C4.1062+ 1+4 = C42.272D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.106ES+(2,2)128,1946
C4.1072+ 1+4 = C42.273D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.107ES+(2,2)128,1947
C4.1082+ 1+4 = C42.274D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.108ES+(2,2)128,1948
C4.1092+ 1+4 = C42.275D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.109ES+(2,2)128,1949
C4.1102+ 1+4 = C42.276D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.110ES+(2,2)128,1950
C4.1112+ 1+4 = C42.277D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.111ES+(2,2)128,1951
C4.1122+ 1+4 = C42.406C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.112ES+(2,2)128,1952
C4.1132+ 1+4 = C42.407C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.113ES+(2,2)128,1953
C4.1142+ 1+4 = C42.408C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.114ES+(2,2)128,1954
C4.1152+ 1+4 = C42.409C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.115ES+(2,2)128,1955
C4.1162+ 1+4 = C42.410C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.116ES+(2,2)128,1956
C4.1172+ 1+4 = C42.411C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.117ES+(2,2)128,1957
C4.1182+ 1+4 = D89D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.118ES+(2,2)128,1996
C4.1192+ 1+4 = SD16⋊D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.119ES+(2,2)128,1997
C4.1202+ 1+4 = SD166D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.120ES+(2,2)128,1998
C4.1212+ 1+4 = D810D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.121ES+(2,2)128,1999
C4.1222+ 1+4 = SD167D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.122ES+(2,2)128,2000
C4.1232+ 1+4 = SD168D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.123ES+(2,2)128,2001
C4.1242+ 1+4 = Q169D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.124ES+(2,2)128,2002
C4.1252+ 1+4 = Q1610D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.125ES+(2,2)128,2003
C4.1262+ 1+4 = D84D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.126ES+(2,2)128,2004
C4.1272+ 1+4 = D85D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.127ES+(2,2)128,2005
C4.1282+ 1+4 = SD161D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.128ES+(2,2)128,2006
C4.1292+ 1+4 = SD162D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.129ES+(2,2)128,2007
C4.1302+ 1+4 = SD163D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.130ES+(2,2)128,2008
C4.1312+ 1+4 = Q164D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.131ES+(2,2)128,2009
C4.1322+ 1+4 = Q165D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.132ES+(2,2)128,2010
C4.1332+ 1+4 = D4×D8φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.133ES+(2,2)128,2011
C4.1342+ 1+4 = D812D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.134ES+(2,2)128,2012
C4.1352+ 1+4 = D4×SD16φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.135ES+(2,2)128,2013
C4.1362+ 1+4 = SD1610D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.136ES+(2,2)128,2014
C4.1372+ 1+4 = D813D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.137ES+(2,2)128,2015
C4.1382+ 1+4 = SD1611D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.138ES+(2,2)128,2016
C4.1392+ 1+4 = Q1612D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.139ES+(2,2)128,2017
C4.1402+ 1+4 = D4×Q16φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.140ES+(2,2)128,2018
C4.1412+ 1+4 = Q1613D4φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.141ES+(2,2)128,2019
C4.1422+ 1+4 = Q85D8φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.142ES+(2,2)128,2123
C4.1432+ 1+4 = Q89SD16φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.143ES+(2,2)128,2124
C4.1442+ 1+4 = C42.527C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.144ES+(2,2)128,2125
C4.1452+ 1+4 = C42.528C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.145ES+(2,2)128,2126
C4.1462+ 1+4 = Q86Q16φ: 2+ 1+4/C4○D4C2 ⊆ Aut C4128C4.146ES+(2,2)128,2127
C4.1472+ 1+4 = C42.530C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.147ES+(2,2)128,2128
C4.1482+ 1+4 = C42.72C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.148ES+(2,2)128,2129
C4.1492+ 1+4 = C42.73C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.149ES+(2,2)128,2130
C4.1502+ 1+4 = C42.74C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.150ES+(2,2)128,2131
C4.1512+ 1+4 = C42.75C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.151ES+(2,2)128,2132
C4.1522+ 1+4 = C42.531C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.152ES+(2,2)128,2133
C4.1532+ 1+4 = C42.532C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.153ES+(2,2)128,2134
C4.1542+ 1+4 = C42.533C23φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.154ES+(2,2)128,2135
C4.1552+ 1+4 = C22.92C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.155ES+(2,2)128,2235
C4.1562+ 1+4 = C22.97C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.156ES+(2,2)128,2240
C4.1572+ 1+4 = C22.100C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.157ES+(2,2)128,2243
C4.1582+ 1+4 = C22.103C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.158ES+(2,2)128,2246
C4.1592+ 1+4 = C22.106C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.159ES+(2,2)128,2249
C4.1602+ 1+4 = C22.132C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.160ES+(2,2)128,2275
C4.1612+ 1+4 = C22.141C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.161ES+(2,2)128,2284
C4.1622+ 1+4 = C22.143C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C464C4.162ES+(2,2)128,2286
C4.1632+ 1+4 = C22.147C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.163ES+(2,2)128,2290
C4.1642+ 1+4 = C22.150C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.164ES+(2,2)128,2293
C4.1652+ 1+4 = C22.151C25φ: 2+ 1+4/C4○D4C2 ⊆ Aut C432C4.165ES+(2,2)128,2294
C4.1662+ 1+4 = C42.691C23central extension (φ=1)32C4.166ES+(2,2)128,1704
C4.1672+ 1+4 = C233M4(2)central extension (φ=1)32C4.167ES+(2,2)128,1705
C4.1682+ 1+4 = D47M4(2)central extension (φ=1)32C4.168ES+(2,2)128,1706
C4.1692+ 1+4 = C42.693C23central extension (φ=1)32C4.169ES+(2,2)128,1707
C4.1702+ 1+4 = C42.297C23central extension (φ=1)32C4.170ES+(2,2)128,1708
C4.1712+ 1+4 = C42.298C23central extension (φ=1)32C4.171ES+(2,2)128,1709
C4.1722+ 1+4 = C42.299C23central extension (φ=1)32C4.172ES+(2,2)128,1710
C4.1732+ 1+4 = C42.694C23central extension (φ=1)64C4.173ES+(2,2)128,1711
C4.1742+ 1+4 = C42.300C23central extension (φ=1)64C4.174ES+(2,2)128,1712
C4.1752+ 1+4 = C42.301C23central extension (φ=1)64C4.175ES+(2,2)128,1713
C4.1762+ 1+4 = C42.697C23central extension (φ=1)64C4.176ES+(2,2)128,1720
C4.1772+ 1+4 = C42.698C23central extension (φ=1)64C4.177ES+(2,2)128,1721
C4.1782+ 1+4 = D48M4(2)central extension (φ=1)64C4.178ES+(2,2)128,1722
C4.1792+ 1+4 = Q87M4(2)central extension (φ=1)64C4.179ES+(2,2)128,1723
C4.1802+ 1+4 = C42.307C23central extension (φ=1)64C4.180ES+(2,2)128,1724
C4.1812+ 1+4 = C42.308C23central extension (φ=1)64C4.181ES+(2,2)128,1725
C4.1822+ 1+4 = C42.309C23central extension (φ=1)64C4.182ES+(2,2)128,1726
C4.1832+ 1+4 = C42.310C23central extension (φ=1)64C4.183ES+(2,2)128,1727
C4.1842+ 1+4 = C22.48C25central extension (φ=1)32C4.184ES+(2,2)128,2191
C4.1852+ 1+4 = C22.49C25central extension (φ=1)32C4.185ES+(2,2)128,2192
C4.1862+ 1+4 = C22.70C25central extension (φ=1)32C4.186ES+(2,2)128,2213
C4.1872+ 1+4 = C22.72C25central extension (φ=1)64C4.187ES+(2,2)128,2215
C4.1882+ 1+4 = C22.118C25central extension (φ=1)32C4.188ES+(2,2)128,2261

׿
×
𝔽