Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C22

Direct product G=N×Q with N=Q8⋊C4 and Q=C22
dρLabelID
C22×Q8⋊C4128C2^2xQ8:C4128,1623

Semidirect products G=N:Q with N=Q8⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8⋊C41C22 = C24.121D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:1C2^2128,1920
Q8⋊C42C22 = C233Q16φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:2C2^2128,1921
Q8⋊C43C22 = C24.123D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:3C2^2128,1922
Q8⋊C44C22 = C4.2+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:4C2^2128,1930
Q8⋊C45C22 = C42.269D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:5C2^2128,1943
Q8⋊C46C22 = C42.406C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:6C2^2128,1952
Q8⋊C47C22 = D89D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:7C2^2128,1996
Q8⋊C48C22 = D812D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:8C2^2128,2012
Q8⋊C49C22 = C42.462C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:9C2^2128,2029
Q8⋊C410C22 = C42.471C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:10C2^2128,2054
Q8⋊C411C22 = C24.178D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:11C2^2128,1736
Q8⋊C412C22 = C24.104D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:12C2^2128,1737
Q8⋊C413C22 = C24.105D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:13C2^2128,1738
Q8⋊C414C22 = C24.106D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:14C2^2128,1739
Q8⋊C415C22 = (C2×Q8)⋊16D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:15C2^2128,1742
Q8⋊C416C22 = (C2×D4)⋊21D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:16C2^2128,1744
Q8⋊C417C22 = C42.211D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:17C2^2128,1768
Q8⋊C418C22 = C42.446D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:18C2^2128,1772
Q8⋊C419C22 = C42.18C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:19C2^2128,1777
Q8⋊C420C22 = C24.183D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:20C2^2128,1824
Q8⋊C421C22 = C24.116D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:21C2^2128,1825
Q8⋊C422C22 = C24.118D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:22C2^2128,1827
Q8⋊C423C22 = C42.228D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:23C2^2128,1842
Q8⋊C424C22 = C42.232D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:24C2^2128,1846
Q8⋊C425C22 = C42.352C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:25C2^2128,1850
Q8⋊C426C22 = C42.357C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:26C2^2128,1855
Q8⋊C427C22 = C24.126D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:27C2^2128,1925
Q8⋊C428C22 = C24.127D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:28C2^2128,1926
Q8⋊C429C22 = C24.128D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:29C2^2128,1927
Q8⋊C430C22 = C24.129D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:30C2^2128,1928
Q8⋊C431C22 = C24.130D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:31C2^2128,1929
Q8⋊C432C22 = C4.152+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:32C2^2128,1932
Q8⋊C433C22 = C42.271D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:33C2^2128,1945
Q8⋊C434C22 = C42.273D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:34C2^2128,1947
Q8⋊C435C22 = C42.410C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:35C2^2128,1956
Q8⋊C436C22 = SD16⋊D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:36C2^2128,1997
Q8⋊C437C22 = SD166D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:37C2^2128,1998
Q8⋊C438C22 = D810D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:38C2^2128,1999
Q8⋊C439C22 = SD167D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:39C2^2128,2000
Q8⋊C440C22 = D84D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:40C2^2128,2004
Q8⋊C441C22 = D85D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:41C2^2128,2005
Q8⋊C442C22 = C42.41C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:42C2^2128,2038
Q8⋊C443C22 = C42.46C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:43C2^2128,2043
Q8⋊C444C22 = C42.49C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:44C2^2128,2046
Q8⋊C445C22 = C42.54C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:45C2^2128,2051
Q8⋊C446C22 = C234SD16φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:46C2^2128,1919
Q8⋊C447C22 = C24.124D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:47C2^2128,1923
Q8⋊C448C22 = C42.408C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:48C2^2128,1954
Q8⋊C449C22 = C42.461C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:49C2^2128,2028
Q8⋊C450C22 = C42.472C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:50C2^2128,2055
Q8⋊C451C22 = M4(2)⋊14D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:51C2^2128,1787
Q8⋊C452C22 = M4(2)⋊15D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:52C2^2128,1788
Q8⋊C453C22 = (C2×C8)⋊11D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:53C2^2128,1789
Q8⋊C454C22 = C42.366C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:54C2^2128,1868
Q8⋊C455C22 = C42.242D4φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:55C2^2128,1872
Q8⋊C456C22 = C42.45C23φ: C22/C1C22 ⊆ Out Q8⋊C432Q8:C4:56C2^2128,2042
Q8⋊C457C22 = C2×C88D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:57C2^2128,1779
Q8⋊C458C22 = C2×C8.18D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:58C2^2128,1781
Q8⋊C459C22 = C24.144D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:59C2^2128,1782
Q8⋊C460C22 = M4(2)⋊16D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:60C2^2128,1794
Q8⋊C461C22 = C2×C42.78C22φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:61C2^2128,1862
Q8⋊C462C22 = D47SD16φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:62C2^2128,2027
Q8⋊C463C22 = C2×C22⋊Q16φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:63C2^2128,1731
Q8⋊C464C22 = C2×D4⋊D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:64C2^2128,1732
Q8⋊C465C22 = C24.103D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:65C2^2128,1734
Q8⋊C466C22 = C4○D4⋊D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:66C2^2128,1740
Q8⋊C467C22 = C2×D4.2D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:67C2^2128,1763
Q8⋊C468C22 = C42.14C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:68C2^2128,1773
Q8⋊C469C22 = C2×C23.48D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:69C2^2128,1822
Q8⋊C470C22 = C42.225D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:70C2^2128,1837
Q8⋊C471C22 = SD161D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:71C2^2128,2006
Q8⋊C472C22 = SD1610D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:72C2^2128,2014
Q8⋊C473C22 = C2×Q8⋊D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:73C2^2128,1730
Q8⋊C474C22 = C2×D4.7D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:74C2^2128,1733
Q8⋊C475C22 = D4.(C2×D4)φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:75C2^2128,1741
Q8⋊C476C22 = C2×D4.D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:76C2^2128,1762
Q8⋊C477C22 = C2×Q8.D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:77C2^2128,1766
Q8⋊C478C22 = C42.15C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:78C2^2128,1774
Q8⋊C479C22 = C42.16C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:79C2^2128,1775
Q8⋊C480C22 = C2×C23.47D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:80C2^2128,1818
Q8⋊C481C22 = C2×C23.20D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:81C2^2128,1820
Q8⋊C482C22 = C24.115D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:82C2^2128,1823
Q8⋊C483C22 = C42.222D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:83C2^2128,1833
Q8⋊C484C22 = SD162D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:84C2^2128,2007
Q8⋊C485C22 = D4×SD16φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:85C2^2128,2013
Q8⋊C486C22 = C2×C23.38D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:86C2^2128,1626
Q8⋊C487C22 = C2×C23.36D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:87C2^2128,1627
Q8⋊C488C22 = C24.98D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:88C2^2128,1628
Q8⋊C489C22 = 2+ 1+45C4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:89C2^2128,1629
Q8⋊C490C22 = C2×SD16⋊C4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:90C2^2128,1672
Q8⋊C491C22 = C4×C8⋊C22φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:91C2^2128,1676
Q8⋊C492C22 = C42.275C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:92C2^2128,1678
Q8⋊C493C22 = C42.278C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:93C2^2128,1681
Q8⋊C494C22 = C2×C8⋊D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:94C2^2128,1783
Q8⋊C495C22 = C2×C8.D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:95C2^2128,1785
Q8⋊C496C22 = C24.110D4φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:96C2^2128,1786
Q8⋊C497C22 = C2×C42.28C22φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4:97C2^2128,1864
Q8⋊C498C22 = C42.473C23φ: C22/C2C2 ⊆ Out Q8⋊C432Q8:C4:98C2^2128,2056
Q8⋊C499C22 = C2×C23.24D4φ: trivial image64Q8:C4:99C2^2128,1624
Q8⋊C4100C22 = C2×C4×SD16φ: trivial image64Q8:C4:100C2^2128,1669

Non-split extensions G=N.Q with N=Q8⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8⋊C4.1C22 = C4.162+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.1C2^2128,1933
Q8⋊C4.2C22 = C42.265D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.2C2^2128,1939
Q8⋊C4.3C22 = C42.267D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.3C2^2128,1941
Q8⋊C4.4C22 = C42.409C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.4C2^2128,1955
Q8⋊C4.5C22 = C42.282D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.5C2^2128,1962
Q8⋊C4.6C22 = C42.283D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.6C2^2128,1963
Q8⋊C4.7C22 = C42.425C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.7C2^2128,1975
Q8⋊C4.8C22 = C42.295D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.8C2^2128,1979
Q8⋊C4.9C22 = C42.297D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.9C2^2128,1981
Q8⋊C4.10C22 = D4×Q16φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.10C2^2128,2018
Q8⋊C4.11C22 = D45Q16φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.11C2^2128,2031
Q8⋊C4.12C22 = C42.465C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.12C2^2128,2032
Q8⋊C4.13C22 = C42.468C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.13C2^2128,2035
Q8⋊C4.14C22 = C42.476C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.14C2^2128,2059
Q8⋊C4.15C22 = C42.477C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.15C2^2128,2060
Q8⋊C4.16C22 = C42.479C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.16C2^2128,2062
Q8⋊C4.17C22 = C42.486C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.17C2^2128,2069
Q8⋊C4.18C22 = Q85Q16φ: C22/C1C22 ⊆ Out Q8⋊C4128Q8:C4.18C2^2128,2095
Q8⋊C4.19C22 = C42.505C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.19C2^2128,2096
Q8⋊C4.20C22 = Q8.(C2×D4)φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.20C2^2128,1743
Q8⋊C4.21C22 = (C2×Q8)⋊17D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.21C2^2128,1745
Q8⋊C4.22C22 = C42.212D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.22C2^2128,1769
Q8⋊C4.23C22 = C42.445D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.23C2^2128,1771
Q8⋊C4.24C22 = C42.220D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.24C2^2128,1810
Q8⋊C4.25C22 = C42.448D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.25C2^2128,1811
Q8⋊C4.26C22 = C42.449D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.26C2^2128,1812
Q8⋊C4.27C22 = C42.21C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.27C2^2128,1814
Q8⋊C4.28C22 = C42.22C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.28C2^2128,1815
Q8⋊C4.29C22 = C42.23C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.29C2^2128,1816
Q8⋊C4.30C22 = C42.229D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.30C2^2128,1843
Q8⋊C4.31C22 = C42.230D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.31C2^2128,1844
Q8⋊C4.32C22 = C42.231D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.32C2^2128,1845
Q8⋊C4.33C22 = C42.233D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.33C2^2128,1847
Q8⋊C4.34C22 = C42.234D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.34C2^2128,1848
Q8⋊C4.35C22 = C42.235D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.35C2^2128,1849
Q8⋊C4.36C22 = C42.354C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.36C2^2128,1852
Q8⋊C4.37C22 = C42.355C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.37C2^2128,1853
Q8⋊C4.38C22 = C42.358C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.38C2^2128,1856
Q8⋊C4.39C22 = C42.360C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.39C2^2128,1858
Q8⋊C4.40C22 = C42.361C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.40C2^2128,1859
Q8⋊C4.41C22 = C4.172+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.41C2^2128,1934
Q8⋊C4.42C22 = C4.182+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.42C2^2128,1935
Q8⋊C4.43C22 = C4.192+ 1+4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.43C2^2128,1936
Q8⋊C4.44C22 = C42.272D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.44C2^2128,1946
Q8⋊C4.45C22 = C42.274D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.45C2^2128,1948
Q8⋊C4.46C22 = C42.276D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.46C2^2128,1950
Q8⋊C4.47C22 = C42.277D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.47C2^2128,1951
Q8⋊C4.48C22 = C42.288D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.48C2^2128,1968
Q8⋊C4.49C22 = C42.289D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.49C2^2128,1969
Q8⋊C4.50C22 = C42.290D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.50C2^2128,1970
Q8⋊C4.51C22 = C42.291D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.51C2^2128,1971
Q8⋊C4.52C22 = C42.292D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.52C2^2128,1972
Q8⋊C4.53C22 = C42.424C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.53C2^2128,1974
Q8⋊C4.54C22 = C42.299D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.54C2^2128,1983
Q8⋊C4.55C22 = C42.300D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.55C2^2128,1984
Q8⋊C4.56C22 = C42.302D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.56C2^2128,1986
Q8⋊C4.57C22 = C42.303D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.57C2^2128,1987
Q8⋊C4.58C22 = C42.304D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.58C2^2128,1988
Q8⋊C4.59C22 = C4.2- 1+4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.59C2^2128,1989
Q8⋊C4.60C22 = C42.25C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.60C2^2128,1990
Q8⋊C4.61C22 = C42.27C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.61C2^2128,1992
Q8⋊C4.62C22 = C42.28C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.62C2^2128,1993
Q8⋊C4.63C22 = C42.29C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.63C2^2128,1994
Q8⋊C4.64C22 = C42.30C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.64C2^2128,1995
Q8⋊C4.65C22 = SD168D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.65C2^2128,2001
Q8⋊C4.66C22 = Q169D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.66C2^2128,2002
Q8⋊C4.67C22 = Q1610D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.67C2^2128,2003
Q8⋊C4.68C22 = C42.42C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.68C2^2128,2039
Q8⋊C4.69C22 = C42.43C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.69C2^2128,2040
Q8⋊C4.70C22 = C42.47C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.70C2^2128,2044
Q8⋊C4.71C22 = C42.50C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.71C2^2128,2047
Q8⋊C4.72C22 = C42.51C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.72C2^2128,2048
Q8⋊C4.73C22 = C42.55C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.73C2^2128,2052
Q8⋊C4.74C22 = C42.481C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.74C2^2128,2064
Q8⋊C4.75C22 = C42.482C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.75C2^2128,2065
Q8⋊C4.76C22 = C42.57C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.76C2^2128,2075
Q8⋊C4.77C22 = C42.58C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.77C2^2128,2076
Q8⋊C4.78C22 = C42.60C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.78C2^2128,2078
Q8⋊C4.79C22 = C42.62C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.79C2^2128,2080
Q8⋊C4.80C22 = C42.63C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.80C2^2128,2081
Q8⋊C4.81C22 = C42.64C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.81C2^2128,2082
Q8⋊C4.82C22 = C42.492C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.82C2^2128,2083
Q8⋊C4.83C22 = C42.493C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.83C2^2128,2084
Q8⋊C4.84C22 = C42.497C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.84C2^2128,2088
Q8⋊C4.85C22 = C42.498C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.85C2^2128,2089
Q8⋊C4.86C22 = C42.508C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.86C2^2128,2099
Q8⋊C4.87C22 = C42.510C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.87C2^2128,2101
Q8⋊C4.88C22 = C42.511C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.88C2^2128,2102
Q8⋊C4.89C22 = C42.512C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.89C2^2128,2103
Q8⋊C4.90C22 = C42.513C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.90C2^2128,2104
Q8⋊C4.91C22 = C42.515C23φ: C22/C1C22 ⊆ Out Q8⋊C4128Q8:C4.91C2^2128,2106
Q8⋊C4.92C22 = Q164Q8φ: C22/C1C22 ⊆ Out Q8⋊C4128Q8:C4.92C2^2128,2119
Q8⋊C4.93C22 = Q165Q8φ: C22/C1C22 ⊆ Out Q8⋊C4128Q8:C4.93C2^2128,2122
Q8⋊C4.94C22 = C42.72C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.94C2^2128,2129
Q8⋊C4.95C22 = C42.73C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.95C2^2128,2130
Q8⋊C4.96C22 = C42.75C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.96C2^2128,2132
Q8⋊C4.97C22 = C42.532C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.97C2^2128,2134
Q8⋊C4.98C22 = C42.533C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.98C2^2128,2135
Q8⋊C4.99C22 = C42.264D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.99C2^2128,1938
Q8⋊C4.100C22 = C42.268D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.100C2^2128,1942
Q8⋊C4.101C22 = C42.270D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.101C2^2128,1944
Q8⋊C4.102C22 = C42.407C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.102C2^2128,1953
Q8⋊C4.103C22 = C42.411C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.103C2^2128,1957
Q8⋊C4.104C22 = C42.281D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.104C2^2128,1961
Q8⋊C4.105C22 = C42.284D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.105C2^2128,1964
Q8⋊C4.106C22 = C42.285D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.106C2^2128,1965
Q8⋊C4.107C22 = C42.426C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.107C2^2128,1976
Q8⋊C4.108C22 = C42.294D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.108C2^2128,1978
Q8⋊C4.109C22 = C42.296D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.109C2^2128,1980
Q8⋊C4.110C22 = C42.298D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.110C2^2128,1982
Q8⋊C4.111C22 = D813D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.111C2^2128,2015
Q8⋊C4.112C22 = D48SD16φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.112C2^2128,2030
Q8⋊C4.113C22 = C42.466C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.113C2^2128,2033
Q8⋊C4.114C22 = C42.467C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.114C2^2128,2034
Q8⋊C4.115C22 = C42.475C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.115C2^2128,2058
Q8⋊C4.116C22 = C42.478C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.116C2^2128,2061
Q8⋊C4.117C22 = C42.480C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.117C2^2128,2063
Q8⋊C4.118C22 = C42.485C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.118C2^2128,2068
Q8⋊C4.119C22 = C42.491C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.119C2^2128,2074
Q8⋊C4.120C22 = Q87SD16φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.120C2^2128,2091
Q8⋊C4.121C22 = C42.501C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.121C2^2128,2092
Q8⋊C4.122C22 = C8.D4⋊C2φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.122C2^2128,1791
Q8⋊C4.123C22 = (C2×C8)⋊13D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.123C2^2128,1792
Q8⋊C4.124C22 = (C2×C8)⋊14D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.124C2^2128,1793
Q8⋊C4.125C22 = C42.241D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.125C2^2128,1871
Q8⋊C4.126C22 = C42.243D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.126C2^2128,1873
Q8⋊C4.127C22 = C42.244D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.127C2^2128,1874
Q8⋊C4.128C22 = C42.386C23φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.128C2^2128,1906
Q8⋊C4.129C22 = C42.257D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.129C2^2128,1912
Q8⋊C4.130C22 = C42.258D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.130C2^2128,1913
Q8⋊C4.131C22 = C42.259D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.131C2^2128,1914
Q8⋊C4.132C22 = C42.260D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.132C2^2128,1915
Q8⋊C4.133C22 = C42.262D4φ: C22/C1C22 ⊆ Out Q8⋊C464Q8:C4.133C2^2128,1917
Q8⋊C4.134C22 = M4(2)⋊17D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.134C2^2128,1795
Q8⋊C4.135C22 = C2×C4.SD16φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.135C2^2128,1861
Q8⋊C4.136C22 = C42.355D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.136C2^2128,1863
Q8⋊C4.137C22 = C42.365D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.137C2^2128,1899
Q8⋊C4.138C22 = C42.308D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.138C2^2128,1900
Q8⋊C4.139C22 = C42.367D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.139C2^2128,1902
Q8⋊C4.140C22 = C42.390C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.140C2^2128,1910
Q8⋊C4.141C22 = C42.391C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.141C2^2128,1911
Q8⋊C4.142C22 = C42.502C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.142C2^2128,2093
Q8⋊C4.143C22 = C42.506C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.143C2^2128,2097
Q8⋊C4.144C22 = C2×C42Q16φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.144C2^2128,1765
Q8⋊C4.145C22 = C42.443D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.145C2^2128,1767
Q8⋊C4.146C22 = C42.17C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.146C2^2128,1776
Q8⋊C4.147C22 = C2×C4.Q16φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.147C2^2128,1806
Q8⋊C4.148C22 = C2×Q8.Q8φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.148C2^2128,1807
Q8⋊C4.149C22 = C42.447D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.149C2^2128,1808
Q8⋊C4.150C22 = (C2×D4).302D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.150C2^2128,1829
Q8⋊C4.151C22 = (C2×D4).303D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.151C2^2128,1830
Q8⋊C4.152C22 = C42.224D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.152C2^2128,1836
Q8⋊C4.153C22 = C42.450D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.153C2^2128,1838
Q8⋊C4.154C22 = C42.451D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.154C2^2128,1839
Q8⋊C4.155C22 = C42.353C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.155C2^2128,1851
Q8⋊C4.156C22 = SD163D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.156C2^2128,2008
Q8⋊C4.157C22 = Q164D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.157C2^2128,2009
Q8⋊C4.158C22 = Q1613D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.158C2^2128,2019
Q8⋊C4.159C22 = C42.470C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.159C2^2128,2037
Q8⋊C4.160C22 = C42.44C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.160C2^2128,2041
Q8⋊C4.161C22 = C42.48C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.161C2^2128,2045
Q8⋊C4.162C22 = D46Q16φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.162C2^2128,2070
Q8⋊C4.163C22 = C42.494C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.163C2^2128,2085
Q8⋊C4.164C22 = Q8×Q16φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.164C2^2128,2114
Q8⋊C4.165C22 = SD16⋊Q8φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.165C2^2128,2117
Q8⋊C4.166C22 = SD162Q8φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.166C2^2128,2118
Q8⋊C4.167C22 = Q86Q16φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.167C2^2128,2127
Q8⋊C4.168C22 = C42.530C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.168C2^2128,2128
Q8⋊C4.169C22 = C42.74C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.169C2^2128,2131
Q8⋊C4.170C22 = C42.19C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.170C2^2128,1778
Q8⋊C4.171C22 = C2×Q8⋊Q8φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.171C2^2128,1805
Q8⋊C4.172C22 = (C2×D4).304D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.172C2^2128,1831
Q8⋊C4.173C22 = C42.384D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.173C2^2128,1834
Q8⋊C4.174C22 = C42.223D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.174C2^2128,1835
Q8⋊C4.175C22 = C42.226D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.175C2^2128,1840
Q8⋊C4.176C22 = C42.359C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.176C2^2128,1857
Q8⋊C4.177C22 = Q165D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.177C2^2128,2010
Q8⋊C4.178C22 = SD1611D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.178C2^2128,2016
Q8⋊C4.179C22 = Q1612D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.179C2^2128,2017
Q8⋊C4.180C22 = C42.469C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.180C2^2128,2036
Q8⋊C4.181C22 = C42.52C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.181C2^2128,2049
Q8⋊C4.182C22 = C42.56C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.182C2^2128,2053
Q8⋊C4.183C22 = D49SD16φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.183C2^2128,2067
Q8⋊C4.184C22 = C42.489C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.184C2^2128,2072
Q8⋊C4.185C22 = Q8×SD16φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.185C2^2128,2111
Q8⋊C4.186C22 = SD164Q8φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.186C2^2128,2113
Q8⋊C4.187C22 = Q166Q8φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.187C2^2128,2115
Q8⋊C4.188C22 = SD163Q8φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.188C2^2128,2120
Q8⋊C4.189C22 = Q89SD16φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.189C2^2128,2124
Q8⋊C4.190C22 = C42.527C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.190C2^2128,2125
Q8⋊C4.191C22 = C42.528C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.191C2^2128,2126
Q8⋊C4.192C22 = C42.531C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.192C2^2128,2133
Q8⋊C4.193C22 = 2- 1+44C4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.193C2^2128,1630
Q8⋊C4.194C22 = C2×Q16⋊C4φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.194C2^2128,1673
Q8⋊C4.195C22 = C42.383D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.195C2^2128,1675
Q8⋊C4.196C22 = C4×C8.C22φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.196C2^2128,1677
Q8⋊C4.197C22 = C42.276C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.197C2^2128,1679
Q8⋊C4.198C22 = C42.279C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.198C2^2128,1682
Q8⋊C4.199C22 = C42.280C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.199C2^2128,1683
Q8⋊C4.200C22 = C42.281C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.200C2^2128,1684
Q8⋊C4.201C22 = C2×C42.30C22φ: C22/C2C2 ⊆ Out Q8⋊C4128Q8:C4.201C2^2128,1866
Q8⋊C4.202C22 = C42.239D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.202C2^2128,1867
Q8⋊C4.203C22 = C42.367C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.203C2^2128,1869
Q8⋊C4.204C22 = C42.255D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.204C2^2128,1903
Q8⋊C4.205C22 = C42.256D4φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.205C2^2128,1904
Q8⋊C4.206C22 = C42.385C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.206C2^2128,1905
Q8⋊C4.207C22 = C42.387C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.207C2^2128,1907
Q8⋊C4.208C22 = C42.389C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.208C2^2128,1909
Q8⋊C4.209C22 = C42.509C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.209C2^2128,2100
Q8⋊C4.210C22 = C42.514C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.210C2^2128,2105
Q8⋊C4.211C22 = C42.516C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.211C2^2128,2107
Q8⋊C4.212C22 = C42.517C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.212C2^2128,2108
Q8⋊C4.213C22 = C42.518C23φ: C22/C2C2 ⊆ Out Q8⋊C464Q8:C4.213C2^2128,2109
Q8⋊C4.214C22 = C2×C4×Q16φ: trivial image128Q8:C4.214C2^2128,1670
Q8⋊C4.215C22 = C4×C4○D8φ: trivial image64Q8:C4.215C2^2128,1671
Q8⋊C4.216C22 = Q88SD16φ: trivial image64Q8:C4.216C2^2128,2094

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