Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C23

Direct product G=N×Q with N=C2×C8 and Q=C23
dρLabelID
C24×C8128C2^4xC8128,2301

Semidirect products G=N:Q with N=C2×C8 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1C23 = C24.177D4φ: C23/C1C23 ⊆ Aut C2×C816(C2xC8):1C2^3128,1735
(C2×C8)⋊2C23 = D8⋊C23φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8):2C2^3128,2317
(C2×C8)⋊3C23 = C2×C22⋊D8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):3C2^3128,1728
(C2×C8)⋊4C23 = C22×C8⋊C22φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):4C2^3128,2310
(C2×C8)⋊5C23 = C2×D8⋊C22φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):5C2^3128,2312
(C2×C8)⋊6C23 = C2×D4○D8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):6C2^3128,2313
(C2×C8)⋊7C23 = C2×D4○SD16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):7C2^3128,2314
(C2×C8)⋊8C23 = C2×C22⋊SD16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):8C2^3128,1729
(C2×C8)⋊9C23 = C2×C24.4C4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):9C2^3128,1609
(C2×C8)⋊10C23 = C2×C23.37D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):10C2^3128,1625
(C2×C8)⋊11C23 = C2×Q8○M4(2)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8):11C2^3128,2304
(C2×C8)⋊12C23 = C22×C22⋊C8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):12C2^3128,1608
(C2×C8)⋊13C23 = C22×D4⋊C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):13C2^3128,1622
(C2×C8)⋊14C23 = C23×D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):14C2^3128,2306
(C2×C8)⋊15C23 = C22×C4○D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):15C2^3128,2309
(C2×C8)⋊16C23 = C23×SD16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):16C2^3128,2307
(C2×C8)⋊17C23 = C23×M4(2)φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):17C2^3128,2302
(C2×C8)⋊18C23 = C22×C8○D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8):18C2^3128,2303

Non-split extensions G=N.Q with N=C2×C8 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C8).1C23 = Q32⋊C4φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).1C2^3128,912
(C2×C8).2C23 = D16⋊C4φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8).2C2^3128,913
(C2×C8).3C23 = D8⋊D4φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8).3C2^3128,922
(C2×C8).4C23 = D8.D4φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).4C2^3128,923
(C2×C8).5C23 = M5(2).C22φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8).5C2^3128,970
(C2×C8).6C23 = C23.10SD16φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).6C2^3128,971
(C2×C8).7C23 = C24.178D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).7C2^3128,1736
(C2×C8).8C23 = C24.104D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).8C2^3128,1737
(C2×C8).9C23 = C24.105D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).9C2^3128,1738
(C2×C8).10C23 = C24.106D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).10C2^3128,1739
(C2×C8).11C23 = C42.211D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).11C2^3128,1768
(C2×C8).12C23 = C42.212D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).12C2^3128,1769
(C2×C8).13C23 = C42.444D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).13C2^3128,1770
(C2×C8).14C23 = C42.445D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).14C2^3128,1771
(C2×C8).15C23 = C42.446D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).15C2^3128,1772
(C2×C8).16C23 = C42.14C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).16C2^3128,1773
(C2×C8).17C23 = C42.15C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).17C2^3128,1774
(C2×C8).18C23 = C42.16C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).18C2^3128,1775
(C2×C8).19C23 = C42.17C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).19C2^3128,1776
(C2×C8).20C23 = C42.18C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).20C2^3128,1777
(C2×C8).21C23 = C42.19C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).21C2^3128,1778
(C2×C8).22C23 = M4(2).37D4φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8).22C2^3128,1800
(C2×C8).23C23 = M4(2).38D4φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).23C2^3128,1801
(C2×C8).24C23 = C42.219D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).24C2^3128,1809
(C2×C8).25C23 = C42.220D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).25C2^3128,1810
(C2×C8).26C23 = C42.448D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).26C2^3128,1811
(C2×C8).27C23 = C42.449D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).27C2^3128,1812
(C2×C8).28C23 = C42.20C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).28C2^3128,1813
(C2×C8).29C23 = C42.21C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).29C2^3128,1814
(C2×C8).30C23 = C42.22C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).30C2^3128,1815
(C2×C8).31C23 = C42.23C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).31C2^3128,1816
(C2×C8).32C23 = C24.183D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).32C2^3128,1824
(C2×C8).33C23 = C24.116D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).33C2^3128,1825
(C2×C8).34C23 = C24.117D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).34C2^3128,1826
(C2×C8).35C23 = C24.118D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).35C2^3128,1827
(C2×C8).36C23 = C42.227D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).36C2^3128,1841
(C2×C8).37C23 = C42.228D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).37C2^3128,1842
(C2×C8).38C23 = C42.229D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).38C2^3128,1843
(C2×C8).39C23 = C42.230D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).39C2^3128,1844
(C2×C8).40C23 = C42.231D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).40C2^3128,1845
(C2×C8).41C23 = C42.232D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).41C2^3128,1846
(C2×C8).42C23 = C42.233D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).42C2^3128,1847
(C2×C8).43C23 = C42.234D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).43C2^3128,1848
(C2×C8).44C23 = C42.235D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).44C2^3128,1849
(C2×C8).45C23 = C42.352C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).45C2^3128,1850
(C2×C8).46C23 = C42.353C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).46C2^3128,1851
(C2×C8).47C23 = C42.354C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).47C2^3128,1852
(C2×C8).48C23 = C42.355C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).48C2^3128,1853
(C2×C8).49C23 = C42.356C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).49C2^3128,1854
(C2×C8).50C23 = C42.357C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).50C2^3128,1855
(C2×C8).51C23 = C42.358C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).51C2^3128,1856
(C2×C8).52C23 = C42.359C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).52C2^3128,1857
(C2×C8).53C23 = C42.360C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).53C2^3128,1858
(C2×C8).54C23 = C42.361C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).54C2^3128,1859
(C2×C8).55C23 = C24.125D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).55C2^3128,1924
(C2×C8).56C23 = C24.126D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).56C2^3128,1925
(C2×C8).57C23 = C24.127D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).57C2^3128,1926
(C2×C8).58C23 = C24.128D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).58C2^3128,1927
(C2×C8).59C23 = C24.129D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).59C2^3128,1928
(C2×C8).60C23 = C24.130D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).60C2^3128,1929
(C2×C8).61C23 = C42.271D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).61C2^3128,1945
(C2×C8).62C23 = C42.272D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).62C2^3128,1946
(C2×C8).63C23 = C42.273D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).63C2^3128,1947
(C2×C8).64C23 = C42.274D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).64C2^3128,1948
(C2×C8).65C23 = C42.275D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).65C2^3128,1949
(C2×C8).66C23 = C42.276D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).66C2^3128,1950
(C2×C8).67C23 = C42.277D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).67C2^3128,1951
(C2×C8).68C23 = C42.286D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).68C2^3128,1966
(C2×C8).69C23 = C42.287D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).69C2^3128,1967
(C2×C8).70C23 = C42.288D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).70C2^3128,1968
(C2×C8).71C23 = C42.289D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).71C2^3128,1969
(C2×C8).72C23 = C42.290D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).72C2^3128,1970
(C2×C8).73C23 = C42.291D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).73C2^3128,1971
(C2×C8).74C23 = C42.292D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).74C2^3128,1972
(C2×C8).75C23 = C42.299D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).75C2^3128,1983
(C2×C8).76C23 = C42.300D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).76C2^3128,1984
(C2×C8).77C23 = C42.301D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).77C2^3128,1985
(C2×C8).78C23 = C42.302D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).78C2^3128,1986
(C2×C8).79C23 = C42.303D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).79C2^3128,1987
(C2×C8).80C23 = C42.304D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).80C2^3128,1988
(C2×C8).81C23 = D89D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).81C2^3128,1996
(C2×C8).82C23 = SD16⋊D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).82C2^3128,1997
(C2×C8).83C23 = SD166D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).83C2^3128,1998
(C2×C8).84C23 = D810D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).84C2^3128,1999
(C2×C8).85C23 = SD167D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).85C2^3128,2000
(C2×C8).86C23 = SD168D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).86C2^3128,2001
(C2×C8).87C23 = Q169D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).87C2^3128,2002
(C2×C8).88C23 = Q1610D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).88C2^3128,2003
(C2×C8).89C23 = D85D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).89C2^3128,2005
(C2×C8).90C23 = SD162D4φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).90C2^3128,2007
(C2×C8).91C23 = Q164D4φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).91C2^3128,2009
(C2×C8).92C23 = D811D4φ: C23/C1C23 ⊆ Aut C2×C8168+(C2xC8).92C2^3128,2020
(C2×C8).93C23 = D8.13D4φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).93C2^3128,2021
(C2×C8).94C23 = C42.41C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).94C2^3128,2038
(C2×C8).95C23 = C42.43C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).95C2^3128,2040
(C2×C8).96C23 = C42.45C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).96C2^3128,2042
(C2×C8).97C23 = C42.47C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).97C2^3128,2044
(C2×C8).98C23 = C42.49C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).98C2^3128,2046
(C2×C8).99C23 = C42.51C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).99C2^3128,2048
(C2×C8).100C23 = C42.53C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).100C2^3128,2050
(C2×C8).101C23 = C42.55C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).101C2^3128,2052
(C2×C8).102C23 = C42.471C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).102C2^3128,2054
(C2×C8).103C23 = C42.472C23φ: C23/C1C23 ⊆ Aut C2×C832(C2xC8).103C2^3128,2055
(C2×C8).104C23 = C42.475C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).104C2^3128,2058
(C2×C8).105C23 = C42.476C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).105C2^3128,2059
(C2×C8).106C23 = C42.61C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).106C2^3128,2079
(C2×C8).107C23 = C42.62C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).107C2^3128,2080
(C2×C8).108C23 = C42.63C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).108C2^3128,2081
(C2×C8).109C23 = C42.64C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).109C2^3128,2082
(C2×C8).110C23 = C42.494C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).110C2^3128,2085
(C2×C8).111C23 = C42.495C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).111C2^3128,2086
(C2×C8).112C23 = C42.497C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).112C2^3128,2088
(C2×C8).113C23 = C42.498C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).113C2^3128,2089
(C2×C8).114C23 = C42.507C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).114C2^3128,2098
(C2×C8).115C23 = C42.508C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).115C2^3128,2099
(C2×C8).116C23 = C42.509C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).116C2^3128,2100
(C2×C8).117C23 = C42.510C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).117C2^3128,2101
(C2×C8).118C23 = C42.513C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).118C2^3128,2104
(C2×C8).119C23 = C42.514C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).119C2^3128,2105
(C2×C8).120C23 = C42.515C23φ: C23/C1C23 ⊆ Aut C2×C8128(C2xC8).120C2^3128,2106
(C2×C8).121C23 = C42.516C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).121C2^3128,2107
(C2×C8).122C23 = C42.531C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).122C2^3128,2133
(C2×C8).123C23 = C42.532C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).123C2^3128,2134
(C2×C8).124C23 = C42.533C23φ: C23/C1C23 ⊆ Aut C2×C864(C2xC8).124C2^3128,2135
(C2×C8).125C23 = C4.C25φ: C23/C1C23 ⊆ Aut C2×C8328-(C2xC8).125C2^3128,2318
(C2×C8).126C23 = C2×C22⋊Q16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).126C2^3128,1731
(C2×C8).127C23 = C2×D4⋊D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).127C2^3128,1732
(C2×C8).128C23 = C24.103D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).128C2^3128,1734
(C2×C8).129C23 = C4○D4⋊D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).129C2^3128,1740
(C2×C8).130C23 = Q8.(C2×D4)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).130C2^3128,1743
(C2×C8).131C23 = (C2×Q8)⋊17D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).131C2^3128,1745
(C2×C8).132C23 = C2×C4⋊D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).132C2^3128,1761
(C2×C8).133C23 = C2×C42Q16φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).133C2^3128,1765
(C2×C8).134C23 = C2×Q8.D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).134C2^3128,1766
(C2×C8).135C23 = C42.443D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).135C2^3128,1767
(C2×C8).136C23 = C2×D4⋊Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).136C2^3128,1802
(C2×C8).137C23 = C2×C4.Q16φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).137C2^3128,1806
(C2×C8).138C23 = C2×Q8.Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).138C2^3128,1807
(C2×C8).139C23 = C42.447D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).139C2^3128,1808
(C2×C8).140C23 = C2×C22.D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).140C2^3128,1817
(C2×C8).141C23 = C2×C23.19D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).141C2^3128,1819
(C2×C8).142C23 = C2×C23.48D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).142C2^3128,1822
(C2×C8).143C23 = C24.115D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).143C2^3128,1823
(C2×C8).144C23 = (C2×D4).301D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).144C2^3128,1828
(C2×C8).145C23 = (C2×D4).303D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).145C2^3128,1830
(C2×C8).146C23 = C42.221D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).146C2^3128,1832
(C2×C8).147C23 = C42.224D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).147C2^3128,1836
(C2×C8).148C23 = C42.225D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).148C2^3128,1837
(C2×C8).149C23 = C42.450D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).149C2^3128,1838
(C2×C8).150C23 = C233D8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).150C2^3128,1918
(C2×C8).151C23 = C233Q16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).151C2^3128,1921
(C2×C8).152C23 = C24.123D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).152C2^3128,1922
(C2×C8).153C23 = C24.124D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).153C2^3128,1923
(C2×C8).154C23 = C4.2+ 1+4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).154C2^3128,1930
(C2×C8).155C23 = C4.142+ 1+4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).155C2^3128,1931
(C2×C8).156C23 = C4.172+ 1+4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).156C2^3128,1934
(C2×C8).157C23 = C4.182+ 1+4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).157C2^3128,1935
(C2×C8).158C23 = C42.263D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).158C2^3128,1937
(C2×C8).159C23 = C42.265D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).159C2^3128,1939
(C2×C8).160C23 = C42.267D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).160C2^3128,1941
(C2×C8).161C23 = C42.406C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).161C2^3128,1952
(C2×C8).162C23 = C42.409C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).162C2^3128,1955
(C2×C8).163C23 = C42.410C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).163C2^3128,1956
(C2×C8).164C23 = C42.411C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).164C2^3128,1957
(C2×C8).165C23 = C42.278D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).165C2^3128,1958
(C2×C8).166C23 = C42.280D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).166C2^3128,1960
(C2×C8).167C23 = C42.282D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).167C2^3128,1962
(C2×C8).168C23 = C42.423C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).168C2^3128,1973
(C2×C8).169C23 = C42.425C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).169C2^3128,1975
(C2×C8).170C23 = C42.293D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).170C2^3128,1977
(C2×C8).171C23 = C42.296D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).171C2^3128,1980
(C2×C8).172C23 = C42.297D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).172C2^3128,1981
(C2×C8).173C23 = C42.298D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).173C2^3128,1982
(C2×C8).174C23 = C4.2- 1+4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).174C2^3128,1989
(C2×C8).175C23 = C42.26C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).175C2^3128,1991
(C2×C8).176C23 = C42.28C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).176C2^3128,1993
(C2×C8).177C23 = C42.29C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).177C2^3128,1994
(C2×C8).178C23 = D4×D8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).178C2^3128,2011
(C2×C8).179C23 = SD1610D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).179C2^3128,2014
(C2×C8).180C23 = D4×Q16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).180C2^3128,2018
(C2×C8).181C23 = D44D8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).181C2^3128,2026
(C2×C8).182C23 = C42.462C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).182C2^3128,2029
(C2×C8).183C23 = D45Q16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).183C2^3128,2031
(C2×C8).184C23 = C42.465C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).184C2^3128,2032
(C2×C8).185C23 = C42.468C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).185C2^3128,2035
(C2×C8).186C23 = C42.469C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).186C2^3128,2036
(C2×C8).187C23 = C42.44C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).187C2^3128,2041
(C2×C8).188C23 = C42.48C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).188C2^3128,2045
(C2×C8).189C23 = C42.50C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).189C2^3128,2047
(C2×C8).190C23 = C42.54C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).190C2^3128,2051
(C2×C8).191C23 = C42.474C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).191C2^3128,2057
(C2×C8).192C23 = C42.477C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).192C2^3128,2060
(C2×C8).193C23 = C42.479C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).193C2^3128,2062
(C2×C8).194C23 = C42.482C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).194C2^3128,2065
(C2×C8).195C23 = D45D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).195C2^3128,2066
(C2×C8).196C23 = C42.485C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).196C2^3128,2068
(C2×C8).197C23 = D46Q16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).197C2^3128,2070
(C2×C8).198C23 = C42.488C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).198C2^3128,2071
(C2×C8).199C23 = C42.489C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).199C2^3128,2072
(C2×C8).200C23 = C42.57C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).200C2^3128,2075
(C2×C8).201C23 = C42.60C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).201C2^3128,2078
(C2×C8).202C23 = C42.493C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).202C2^3128,2084
(C2×C8).203C23 = C42.496C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).203C2^3128,2087
(C2×C8).204C23 = Q84D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).204C2^3128,2090
(C2×C8).205C23 = C42.502C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).205C2^3128,2093
(C2×C8).206C23 = Q85Q16φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).206C2^3128,2095
(C2×C8).207C23 = C42.505C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).207C2^3128,2096
(C2×C8).208C23 = C42.511C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).208C2^3128,2102
(C2×C8).209C23 = C42.518C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).209C2^3128,2109
(C2×C8).210C23 = Q8×D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).210C2^3128,2110
(C2×C8).211C23 = D86Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).211C2^3128,2112
(C2×C8).212C23 = Q8×Q16φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).212C2^3128,2114
(C2×C8).213C23 = Q166Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).213C2^3128,2115
(C2×C8).214C23 = SD16⋊Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).214C2^3128,2117
(C2×C8).215C23 = SD162Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).215C2^3128,2118
(C2×C8).216C23 = D85Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).216C2^3128,2121
(C2×C8).217C23 = Q165Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).217C2^3128,2122
(C2×C8).218C23 = Q85D8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).218C2^3128,2123
(C2×C8).219C23 = C42.527C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).219C2^3128,2125
(C2×C8).220C23 = Q86Q16φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).220C2^3128,2127
(C2×C8).221C23 = C42.530C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).221C2^3128,2128
(C2×C8).222C23 = C42.73C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).222C2^3128,2130
(C2×C8).223C23 = C42.74C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).223C2^3128,2131
(C2×C8).224C23 = C2×D82C4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).224C2^3128,876
(C2×C8).225C23 = C23.13D8φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).225C2^3128,877
(C2×C8).226C23 = C2×M5(2)⋊C2φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).226C2^3128,878
(C2×C8).227C23 = C2×C8.17D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).227C2^3128,879
(C2×C8).228C23 = C23.21SD16φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).228C2^3128,880
(C2×C8).229C23 = C2×C8.Q8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).229C2^3128,886
(C2×C8).230C23 = M5(2)⋊3C4φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).230C2^3128,887
(C2×C8).231C23 = Q16.10D4φ: C23/C2C22 ⊆ Aut C2×C8324+(C2xC8).231C2^3128,924
(C2×C8).232C23 = Q16.D4φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).232C2^3128,925
(C2×C8).233C23 = D8.3D4φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).233C2^3128,926
(C2×C8).234C23 = D8.12D4φ: C23/C2C22 ⊆ Aut C2×C8644-(C2xC8).234C2^3128,927
(C2×C8).235C23 = C8.3D8φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).235C2^3128,944
(C2×C8).236C23 = D83D4φ: C23/C2C22 ⊆ Aut C2×C8164+(C2xC8).236C2^3128,945
(C2×C8).237C23 = C8.5D8φ: C23/C2C22 ⊆ Aut C2×C8324-(C2xC8).237C2^3128,946
(C2×C8).238C23 = D4.3D8φ: C23/C2C22 ⊆ Aut C2×C8324+(C2xC8).238C2^3128,953
(C2×C8).239C23 = D4.4D8φ: C23/C2C22 ⊆ Aut C2×C8644-(C2xC8).239C2^3128,954
(C2×C8).240C23 = D4.5D8φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).240C2^3128,955
(C2×C8).241C23 = D83Q8φ: C23/C2C22 ⊆ Aut C2×C8164(C2xC8).241C2^3128,962
(C2×C8).242C23 = D8.2Q8φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).242C2^3128,963
(C2×C8).243C23 = C2×M4(2)⋊C4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).243C2^3128,1642
(C2×C8).244C23 = C24.100D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).244C2^3128,1643
(C2×C8).245C23 = C2×M4(2).C4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).245C2^3128,1647
(C2×C8).246C23 = C2×C8.26D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).246C2^3128,1686
(C2×C8).247C23 = C2×C8⋊D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).247C2^3128,1783
(C2×C8).248C23 = C2×C82D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).248C2^3128,1784
(C2×C8).249C23 = C2×C8.D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).249C2^3128,1785
(C2×C8).250C23 = C24.110D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).250C2^3128,1786
(C2×C8).251C23 = M4(2)⋊14D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).251C2^3128,1787
(C2×C8).252C23 = M4(2)⋊15D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).252C2^3128,1788
(C2×C8).253C23 = (C2×C8)⋊11D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).253C2^3128,1789
(C2×C8).254C23 = (C2×C8)⋊12D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).254C2^3128,1790
(C2×C8).255C23 = C8.D4⋊C2φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).255C2^3128,1791
(C2×C8).256C23 = (C2×C8)⋊13D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).256C2^3128,1792
(C2×C8).257C23 = (C2×C8)⋊14D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).257C2^3128,1793
(C2×C8).258C23 = M4(2)⋊16D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).258C2^3128,1794
(C2×C8).259C23 = M4(2)⋊17D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).259C2^3128,1795
(C2×C8).260C23 = C2×D4.3D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).260C2^3128,1796
(C2×C8).261C23 = C2×D4.4D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).261C2^3128,1797
(C2×C8).262C23 = C2×D4.5D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).262C2^3128,1798
(C2×C8).263C23 = M4(2).10C23φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).263C2^3128,1799
(C2×C8).264C23 = C2×C83D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).264C2^3128,1880
(C2×C8).265C23 = C2×C8.2D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).265C2^3128,1881
(C2×C8).266C23 = C42.247D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).266C2^3128,1882
(C2×C8).267C23 = M4(2)⋊7D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).267C2^3128,1883
(C2×C8).268C23 = M4(2)⋊8D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).268C2^3128,1884
(C2×C8).269C23 = M4(2)⋊9D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).269C2^3128,1885
(C2×C8).270C23 = C2×C8⋊Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).270C2^3128,1893
(C2×C8).271C23 = C42.252D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).271C2^3128,1894
(C2×C8).272C23 = M4(2)⋊3Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).272C2^3128,1895
(C2×C8).273C23 = M4(2)⋊4Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).273C2^3128,1896
(C2×C8).274C23 = M4(2)⋊5Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).274C2^3128,1897
(C2×C8).275C23 = M4(2)⋊6Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).275C2^3128,1898
(C2×C8).276C23 = C42.255D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).276C2^3128,1903
(C2×C8).277C23 = C42.256D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).277C2^3128,1904
(C2×C8).278C23 = C42.390C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).278C2^3128,1910
(C2×C8).279C23 = C42.391C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).279C2^3128,1911
(C2×C8).280C23 = C42.257D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).280C2^3128,1912
(C2×C8).281C23 = C42.258D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).281C2^3128,1913
(C2×C8).282C23 = C42.260D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).282C2^3128,1915
(C2×C8).283C23 = D84D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).283C2^3128,2004
(C2×C8).284C23 = SD161D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).284C2^3128,2006
(C2×C8).285C23 = SD163D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).285C2^3128,2008
(C2×C8).286C23 = Q165D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).286C2^3128,2010
(C2×C8).287C23 = D8○SD16φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).287C2^3128,2022
(C2×C8).288C23 = D86D4φ: C23/C2C22 ⊆ Aut C2×C8164(C2xC8).288C2^3128,2023
(C2×C8).289C23 = D8○D8φ: C23/C2C22 ⊆ Aut C2×C8164+(C2xC8).289C2^3128,2024
(C2×C8).290C23 = D8○Q16φ: C23/C2C22 ⊆ Aut C2×C8324-(C2xC8).290C2^3128,2025
(C2×C8).291C23 = C2×C16⋊C22φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).291C2^3128,2144
(C2×C8).292C23 = C2×Q32⋊C2φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).292C2^3128,2145
(C2×C8).293C23 = D16⋊C22φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).293C2^3128,2146
(C2×C8).294C23 = D4○D16φ: C23/C2C22 ⊆ Aut C2×C8324+(C2xC8).294C2^3128,2147
(C2×C8).295C23 = D4○SD32φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).295C2^3128,2148
(C2×C8).296C23 = Q8○D16φ: C23/C2C22 ⊆ Aut C2×C8644-(C2xC8).296C2^3128,2149
(C2×C8).297C23 = C22×C8.C22φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).297C2^3128,2311
(C2×C8).298C23 = C2×Q8⋊D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).298C2^3128,1730
(C2×C8).299C23 = C2×D4.7D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).299C2^3128,1733
(C2×C8).300C23 = D4.(C2×D4)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).300C2^3128,1741
(C2×C8).301C23 = (C2×Q8)⋊16D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).301C2^3128,1742
(C2×C8).302C23 = (C2×D4)⋊21D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).302C2^3128,1744
(C2×C8).303C23 = C2×D4.D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).303C2^3128,1762
(C2×C8).304C23 = C2×D4.2D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).304C2^3128,1763
(C2×C8).305C23 = C2×C4⋊SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).305C2^3128,1764
(C2×C8).306C23 = C2×D42Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).306C2^3128,1803
(C2×C8).307C23 = C2×D4.Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).307C2^3128,1804
(C2×C8).308C23 = C2×Q8⋊Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).308C2^3128,1805
(C2×C8).309C23 = C2×C23.47D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).309C2^3128,1818
(C2×C8).310C23 = C2×C23.20D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).310C2^3128,1820
(C2×C8).311C23 = C2×C23.46D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).311C2^3128,1821
(C2×C8).312C23 = (C2×D4).302D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).312C2^3128,1829
(C2×C8).313C23 = (C2×D4).304D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).313C2^3128,1831
(C2×C8).314C23 = C42.222D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).314C2^3128,1833
(C2×C8).315C23 = C42.384D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).315C2^3128,1834
(C2×C8).316C23 = C42.223D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).316C2^3128,1835
(C2×C8).317C23 = C42.451D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).317C2^3128,1839
(C2×C8).318C23 = C42.226D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).318C2^3128,1840
(C2×C8).319C23 = C234SD16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).319C2^3128,1919
(C2×C8).320C23 = C24.121D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).320C2^3128,1920
(C2×C8).321C23 = C4.152+ 1+4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).321C2^3128,1932
(C2×C8).322C23 = C4.162+ 1+4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).322C2^3128,1933
(C2×C8).323C23 = C4.192+ 1+4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).323C2^3128,1936
(C2×C8).324C23 = C42.264D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).324C2^3128,1938
(C2×C8).325C23 = C42.266D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).325C2^3128,1940
(C2×C8).326C23 = C42.268D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).326C2^3128,1942
(C2×C8).327C23 = C42.269D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).327C2^3128,1943
(C2×C8).328C23 = C42.270D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).328C2^3128,1944
(C2×C8).329C23 = C42.407C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).329C2^3128,1953
(C2×C8).330C23 = C42.408C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).330C2^3128,1954
(C2×C8).331C23 = C42.279D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).331C2^3128,1959
(C2×C8).332C23 = C42.281D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).332C2^3128,1961
(C2×C8).333C23 = C42.283D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).333C2^3128,1963
(C2×C8).334C23 = C42.284D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).334C2^3128,1964
(C2×C8).335C23 = C42.285D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).335C2^3128,1965
(C2×C8).336C23 = C42.424C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).336C2^3128,1974
(C2×C8).337C23 = C42.426C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).337C2^3128,1976
(C2×C8).338C23 = C42.294D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).338C2^3128,1978
(C2×C8).339C23 = C42.295D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).339C2^3128,1979
(C2×C8).340C23 = C42.25C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).340C2^3128,1990
(C2×C8).341C23 = C42.27C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).341C2^3128,1992
(C2×C8).342C23 = C42.30C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).342C2^3128,1995
(C2×C8).343C23 = D812D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).343C2^3128,2012
(C2×C8).344C23 = D4×SD16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).344C2^3128,2013
(C2×C8).345C23 = Q1612D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).345C2^3128,2017
(C2×C8).346C23 = D47SD16φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).346C2^3128,2027
(C2×C8).347C23 = C42.461C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).347C2^3128,2028
(C2×C8).348C23 = D48SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).348C2^3128,2030
(C2×C8).349C23 = C42.466C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).349C2^3128,2033
(C2×C8).350C23 = C42.467C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).350C2^3128,2034
(C2×C8).351C23 = C42.470C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).351C2^3128,2037
(C2×C8).352C23 = C42.42C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).352C2^3128,2039
(C2×C8).353C23 = C42.46C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).353C2^3128,2043
(C2×C8).354C23 = C42.52C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).354C2^3128,2049
(C2×C8).355C23 = C42.56C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).355C2^3128,2053
(C2×C8).356C23 = C42.473C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).356C2^3128,2056
(C2×C8).357C23 = C42.478C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).357C2^3128,2061
(C2×C8).358C23 = C42.480C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).358C2^3128,2063
(C2×C8).359C23 = C42.481C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).359C2^3128,2064
(C2×C8).360C23 = D49SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).360C2^3128,2067
(C2×C8).361C23 = C42.486C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).361C2^3128,2069
(C2×C8).362C23 = C42.490C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).362C2^3128,2073
(C2×C8).363C23 = C42.491C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).363C2^3128,2074
(C2×C8).364C23 = C42.58C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).364C2^3128,2076
(C2×C8).365C23 = C42.59C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).365C2^3128,2077
(C2×C8).366C23 = C42.492C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).366C2^3128,2083
(C2×C8).367C23 = Q87SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).367C2^3128,2091
(C2×C8).368C23 = C42.501C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).368C2^3128,2092
(C2×C8).369C23 = Q88SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).369C2^3128,2094
(C2×C8).370C23 = C42.506C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).370C2^3128,2097
(C2×C8).371C23 = C42.512C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).371C2^3128,2103
(C2×C8).372C23 = C42.517C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).372C2^3128,2108
(C2×C8).373C23 = Q8×SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).373C2^3128,2111
(C2×C8).374C23 = SD164Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).374C2^3128,2113
(C2×C8).375C23 = D84Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).375C2^3128,2116
(C2×C8).376C23 = Q164Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).376C2^3128,2119
(C2×C8).377C23 = SD163Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).377C2^3128,2120
(C2×C8).378C23 = Q89SD16φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).378C2^3128,2124
(C2×C8).379C23 = C42.528C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).379C2^3128,2126
(C2×C8).380C23 = C42.72C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).380C2^3128,2129
(C2×C8).381C23 = C42.75C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).381C2^3128,2132
(C2×C8).382C23 = C2×C16⋊C4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).382C2^3128,841
(C2×C8).383C23 = C8.23C42φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).383C2^3128,842
(C2×C8).384C23 = C2×C23.C8φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).384C2^3128,846
(C2×C8).385C23 = M5(2).19C22φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).385C2^3128,847
(C2×C8).386C23 = C8.5M4(2)φ: C23/C2C22 ⊆ Aut C2×C8164(C2xC8).386C2^3128,897
(C2×C8).387C23 = C8.19M4(2)φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).387C2^3128,898
(C2×C8).388C23 = C2×(C22×C8)⋊C2φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).388C2^3128,1610
(C2×C8).389C23 = C24.73(C2×C4)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).389C2^3128,1611
(C2×C8).390C23 = C2×C23.38D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).390C2^3128,1626
(C2×C8).391C23 = C2×C23.36D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).391C2^3128,1627
(C2×C8).392C23 = C24.98D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).392C2^3128,1628
(C2×C8).393C23 = C2×C4⋊M4(2)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).393C2^3128,1635
(C2×C8).394C23 = C2×C42.6C22φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).394C2^3128,1636
(C2×C8).395C23 = C42.257C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).395C2^3128,1637
(C2×C8).396C23 = C2×C42.6C4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).396C2^3128,1650
(C2×C8).397C23 = C42.677C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).397C2^3128,1652
(C2×C8).398C23 = C42.259C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).398C2^3128,1653
(C2×C8).399C23 = C42.261C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).399C2^3128,1655
(C2×C8).400C23 = C42.678C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).400C2^3128,1657
(C2×C8).401C23 = C2×C89D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).401C2^3128,1659
(C2×C8).402C23 = C42.265C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).402C2^3128,1662
(C2×C8).403C23 = C42.681C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).403C2^3128,1663
(C2×C8).404C23 = C42.266C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).404C2^3128,1664
(C2×C8).405C23 = M4(2)⋊22D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).405C2^3128,1665
(C2×C8).406C23 = D4×M4(2)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).406C2^3128,1666
(C2×C8).407C23 = M4(2)⋊23D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).407C2^3128,1667
(C2×C8).408C23 = C2×SD16⋊C4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).408C2^3128,1672
(C2×C8).409C23 = C2×Q16⋊C4φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).409C2^3128,1673
(C2×C8).410C23 = C2×D8⋊C4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).410C2^3128,1674
(C2×C8).411C23 = C42.383D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).411C2^3128,1675
(C2×C8).412C23 = C4×C8⋊C22φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).412C2^3128,1676
(C2×C8).413C23 = C4×C8.C22φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).413C2^3128,1677
(C2×C8).414C23 = C42.275C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).414C2^3128,1678
(C2×C8).415C23 = C42.276C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).415C2^3128,1679
(C2×C8).416C23 = C42.277C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).416C2^3128,1680
(C2×C8).417C23 = C42.278C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).417C2^3128,1681
(C2×C8).418C23 = C42.279C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).418C2^3128,1682
(C2×C8).419C23 = C42.280C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).419C2^3128,1683
(C2×C8).420C23 = C42.281C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).420C2^3128,1684
(C2×C8).421C23 = M4(2).51D4φ: C23/C2C22 ⊆ Aut C2×C8164(C2xC8).421C2^3128,1688
(C2×C8).422C23 = M4(2)○D8φ: C23/C2C22 ⊆ Aut C2×C8324(C2xC8).422C2^3128,1689
(C2×C8).423C23 = C2×C84Q8φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).423C2^3128,1691
(C2×C8).424C23 = C42.287C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).424C2^3128,1693
(C2×C8).425C23 = M4(2)⋊9Q8φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).425C2^3128,1694
(C2×C8).426C23 = Q8×M4(2)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).426C2^3128,1695
(C2×C8).427C23 = C42.290C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).427C2^3128,1697
(C2×C8).428C23 = C42.292C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).428C2^3128,1699
(C2×C8).429C23 = C42.293C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).429C2^3128,1700
(C2×C8).430C23 = D46M4(2)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).430C2^3128,1702
(C2×C8).431C23 = C233M4(2)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).431C2^3128,1705
(C2×C8).432C23 = D47M4(2)φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).432C2^3128,1706
(C2×C8).433C23 = C42.693C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).433C2^3128,1707
(C2×C8).434C23 = C42.297C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).434C2^3128,1708
(C2×C8).435C23 = C42.298C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).435C2^3128,1709
(C2×C8).436C23 = C42.299C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).436C2^3128,1710
(C2×C8).437C23 = C42.694C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).437C2^3128,1711
(C2×C8).438C23 = C42.300C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).438C2^3128,1712
(C2×C8).439C23 = C42.301C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).439C2^3128,1713
(C2×C8).440C23 = C42.302C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).440C2^3128,1715
(C2×C8).441C23 = Q8.4M4(2)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).441C2^3128,1716
(C2×C8).442C23 = C42.696C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).442C2^3128,1717
(C2×C8).443C23 = C42.304C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).443C2^3128,1718
(C2×C8).444C23 = C42.305C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).444C2^3128,1719
(C2×C8).445C23 = C42.698C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).445C2^3128,1721
(C2×C8).446C23 = D48M4(2)φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).446C2^3128,1722
(C2×C8).447C23 = C42.307C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).447C2^3128,1724
(C2×C8).448C23 = C42.308C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).448C2^3128,1725
(C2×C8).449C23 = C42.309C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).449C2^3128,1726
(C2×C8).450C23 = C42.310C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).450C2^3128,1727
(C2×C8).451C23 = C2×C42.28C22φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).451C2^3128,1864
(C2×C8).452C23 = C2×C42.29C22φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).452C2^3128,1865
(C2×C8).453C23 = C2×C42.30C22φ: C23/C2C22 ⊆ Aut C2×C8128(C2xC8).453C2^3128,1866
(C2×C8).454C23 = C42.239D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).454C2^3128,1867
(C2×C8).455C23 = C42.366C23φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).455C2^3128,1868
(C2×C8).456C23 = C42.367C23φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).456C2^3128,1869
(C2×C8).457C23 = C42.240D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).457C2^3128,1870
(C2×C8).458C23 = C42.241D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).458C2^3128,1871
(C2×C8).459C23 = C42.242D4φ: C23/C2C22 ⊆ Aut C2×C832(C2xC8).459C2^3128,1872
(C2×C8).460C23 = C42.243D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).460C2^3128,1873
(C2×C8).461C23 = C42.244D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).461C2^3128,1874
(C2×C8).462C23 = C42.259D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).462C2^3128,1914
(C2×C8).463C23 = C42.261D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).463C2^3128,1916
(C2×C8).464C23 = C42.262D4φ: C23/C2C22 ⊆ Aut C2×C864(C2xC8).464C2^3128,1917
(C2×C8).465C23 = D4○(C22⋊C8)φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).465C2^3128,1612
(C2×C8).466C23 = C22×Q8⋊C4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).466C2^3128,1623
(C2×C8).467C23 = C2×C23.24D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).467C2^3128,1624
(C2×C8).468C23 = 2+ 1+45C4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).468C2^3128,1629
(C2×C8).469C23 = 2- 1+44C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).469C2^3128,1630
(C2×C8).470C23 = C22×C4⋊C8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).470C2^3128,1634
(C2×C8).471C23 = C42.674C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).471C2^3128,1638
(C2×C8).472C23 = C2×C42.12C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).472C2^3128,1649
(C2×C8).473C23 = C2×C42.7C22φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).473C2^3128,1651
(C2×C8).474C23 = C42.260C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).474C2^3128,1654
(C2×C8).475C23 = C42.262C23φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).475C2^3128,1656
(C2×C8).476C23 = D4×C2×C8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).476C2^3128,1658
(C2×C8).477C23 = C2×C86D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).477C2^3128,1660
(C2×C8).478C23 = C4×C4○D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).478C2^3128,1671
(C2×C8).479C23 = Q8×C2×C8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).479C2^3128,1690
(C2×C8).480C23 = C8×C4○D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).480C2^3128,1696
(C2×C8).481C23 = C42.691C23φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).481C2^3128,1704
(C2×C8).482C23 = C42.695C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).482C2^3128,1714
(C2×C8).483C23 = C42.697C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).483C2^3128,1720
(C2×C8).484C23 = Q87M4(2)φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).484C2^3128,1723
(C2×C8).485C23 = C2×C88D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).485C2^3128,1779
(C2×C8).486C23 = C2×C87D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).486C2^3128,1780
(C2×C8).487C23 = C2×C8.18D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).487C2^3128,1781
(C2×C8).488C23 = C2×C4.4D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).488C2^3128,1860
(C2×C8).489C23 = C2×C4.SD16φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).489C2^3128,1861
(C2×C8).490C23 = C2×C42.78C22φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).490C2^3128,1862
(C2×C8).491C23 = C42.355D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).491C2^3128,1863
(C2×C8).492C23 = C2×C2.D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).492C2^3128,868
(C2×C8).493C23 = C2×C2.Q32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).493C2^3128,869
(C2×C8).494C23 = C23.24D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).494C2^3128,870
(C2×C8).495C23 = C23.39D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).495C2^3128,871
(C2×C8).496C23 = C23.40D8φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).496C2^3128,872
(C2×C8).497C23 = C23.41D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).497C2^3128,873
(C2×C8).498C23 = C2×C163C4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).498C2^3128,888
(C2×C8).499C23 = C2×C164C4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).499C2^3128,889
(C2×C8).500C23 = C23.25D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).500C2^3128,890
(C2×C8).501C23 = M5(2)⋊1C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).501C2^3128,891
(C2×C8).502C23 = C4×D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).502C2^3128,904
(C2×C8).503C23 = C4×SD32φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).503C2^3128,905
(C2×C8).504C23 = C4×Q32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).504C2^3128,906
(C2×C8).505C23 = SD323C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).505C2^3128,907
(C2×C8).506C23 = Q324C4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).506C2^3128,908
(C2×C8).507C23 = D164C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).507C2^3128,909
(C2×C8).508C23 = D87D4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).508C2^3128,916
(C2×C8).509C23 = Q167D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).509C2^3128,917
(C2×C8).510C23 = D88D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).510C2^3128,918
(C2×C8).511C23 = D8.9D4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).511C2^3128,919
(C2×C8).512C23 = Q16.8D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).512C2^3128,920
(C2×C8).513C23 = D8.10D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).513C2^3128,921
(C2×C8).514C23 = D82D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).514C2^3128,938
(C2×C8).515C23 = Q162D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).515C2^3128,939
(C2×C8).516C23 = D8.4D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).516C2^3128,940
(C2×C8).517C23 = Q16.4D4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).517C2^3128,941
(C2×C8).518C23 = D8.5D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).518C2^3128,942
(C2×C8).519C23 = Q16.5D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).519C2^3128,943
(C2×C8).520C23 = C167D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).520C2^3128,947
(C2×C8).521C23 = C16.19D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).521C2^3128,948
(C2×C8).522C23 = C168D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).522C2^3128,949
(C2×C8).523C23 = C16⋊D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).523C2^3128,950
(C2×C8).524C23 = C16.D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).524C2^3128,951
(C2×C8).525C23 = C162D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).525C2^3128,952
(C2×C8).526C23 = D81Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).526C2^3128,956
(C2×C8).527C23 = Q16⋊Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).527C2^3128,957
(C2×C8).528C23 = D8⋊Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).528C2^3128,958
(C2×C8).529C23 = C4.Q32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).529C2^3128,959
(C2×C8).530C23 = D8.Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).530C2^3128,960
(C2×C8).531C23 = Q16.Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).531C2^3128,961
(C2×C8).532C23 = C22.D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).532C2^3128,964
(C2×C8).533C23 = C23.49D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).533C2^3128,965
(C2×C8).534C23 = C23.19D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).534C2^3128,966
(C2×C8).535C23 = C23.50D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).535C2^3128,967
(C2×C8).536C23 = C23.51D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).536C2^3128,968
(C2×C8).537C23 = C23.20D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).537C2^3128,969
(C2×C8).538C23 = C4.4D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).538C2^3128,972
(C2×C8).539C23 = C4.SD32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).539C2^3128,973
(C2×C8).540C23 = C8.22SD16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).540C2^3128,974
(C2×C8).541C23 = C8.12SD16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).541C2^3128,975
(C2×C8).542C23 = C8.13SD16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).542C2^3128,976
(C2×C8).543C23 = C8.14SD16φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).543C2^3128,977
(C2×C8).544C23 = C4⋊D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).544C2^3128,978
(C2×C8).545C23 = C4⋊Q32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).545C2^3128,979
(C2×C8).546C23 = C165D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).546C2^3128,980
(C2×C8).547C23 = C8.21D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).547C2^3128,981
(C2×C8).548C23 = C163D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).548C2^3128,982
(C2×C8).549C23 = C8.7D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).549C2^3128,983
(C2×C8).550C23 = C162Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).550C2^3128,984
(C2×C8).551C23 = C16.5Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).551C2^3128,985
(C2×C8).552C23 = C163Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).552C2^3128,986
(C2×C8).553C23 = C16⋊Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).553C2^3128,987
(C2×C8).554C23 = C22×C2.D8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).554C2^3128,1640
(C2×C8).555C23 = C4○D4.8Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).555C2^3128,1645
(C2×C8).556C23 = C2×C4×D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).556C2^3128,1668
(C2×C8).557C23 = C2×C4×Q16φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).557C2^3128,1670
(C2×C8).558C23 = C2×C84D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).558C2^3128,1876
(C2×C8).559C23 = C2×C4⋊Q16φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).559C2^3128,1877
(C2×C8).560C23 = M4(2)⋊11D4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).560C2^3128,1887
(C2×C8).561C23 = M4(2).20D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).561C2^3128,1888
(C2×C8).562C23 = C2×C8.5Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).562C2^3128,1890
(C2×C8).563C23 = C2×C82Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).563C2^3128,1891
(C2×C8).564C23 = C42.366D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).564C2^3128,1901
(C2×C8).565C23 = C42.367D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).565C2^3128,1902
(C2×C8).566C23 = C42.387C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).566C2^3128,1907
(C2×C8).567C23 = C42.388C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).567C2^3128,1908
(C2×C8).568C23 = C42.389C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).568C2^3128,1909
(C2×C8).569C23 = D813D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).569C2^3128,2015
(C2×C8).570C23 = Q1613D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).570C2^3128,2019
(C2×C8).571C23 = C22×D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).571C2^3128,2140
(C2×C8).572C23 = C22×SD32φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).572C2^3128,2141
(C2×C8).573C23 = C22×Q32φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).573C2^3128,2142
(C2×C8).574C23 = C23×Q16φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).574C2^3128,2308
(C2×C8).575C23 = C2×Q8○D8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).575C2^3128,2315
(C2×C8).576C23 = C2×D8.C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).576C2^3128,874
(C2×C8).577C23 = C23.20SD16φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).577C2^3128,875
(C2×C8).578C23 = C2×C8.4Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).578C2^3128,892
(C2×C8).579C23 = M5(2).1C4φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).579C2^3128,893
(C2×C8).580C23 = C8○D16φ: C23/C22C2 ⊆ Aut C2×C8322(C2xC8).580C2^3128,910
(C2×C8).581C23 = D165C4φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).581C2^3128,911
(C2×C8).582C23 = C22×C8.C4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).582C2^3128,1646
(C2×C8).583C23 = M4(2).29C23φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).583C2^3128,1648
(C2×C8).584C23 = C2×C8○D8φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).584C2^3128,1685
(C2×C8).585C23 = C2×C4○D16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).585C2^3128,2143
(C2×C8).586C23 = C8.C24φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).586C2^3128,2316
(C2×C8).587C23 = C22×C4.Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).587C2^3128,1639
(C2×C8).588C23 = C2×C23.25D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).588C2^3128,1641
(C2×C8).589C23 = C4○D4.7Q8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).589C2^3128,1644
(C2×C8).590C23 = C2×C4×SD16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).590C2^3128,1669
(C2×C8).591C23 = C24.144D4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).591C2^3128,1782
(C2×C8).592C23 = C2×C85D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).592C2^3128,1875
(C2×C8).593C23 = C2×C8.12D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).593C2^3128,1878
(C2×C8).594C23 = C42.360D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).594C2^3128,1879
(C2×C8).595C23 = M4(2)⋊10D4φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).595C2^3128,1886
(C2×C8).596C23 = C2×C83Q8φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).596C2^3128,1889
(C2×C8).597C23 = C42.364D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).597C2^3128,1892
(C2×C8).598C23 = C42.365D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).598C2^3128,1899
(C2×C8).599C23 = C42.308D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).599C2^3128,1900
(C2×C8).600C23 = C42.385C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).600C2^3128,1905
(C2×C8).601C23 = C42.386C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).601C2^3128,1906
(C2×C8).602C23 = SD1611D4φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).602C2^3128,2016
(C2×C8).603C23 = C2×D4.C8φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).603C2^3128,848
(C2×C8).604C23 = M5(2)⋊12C22φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).604C2^3128,849
(C2×C8).605C23 = C2×C8.C8φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).605C2^3128,884
(C2×C8).606C23 = M4(2).1C8φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).606C2^3128,885
(C2×C8).607C23 = C16○D8φ: C23/C22C2 ⊆ Aut C2×C8322(C2xC8).607C2^3128,902
(C2×C8).608C23 = D8.C8φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).608C2^3128,903
(C2×C8).609C23 = C22×C8⋊C4φ: C23/C22C2 ⊆ Aut C2×C8128(C2xC8).609C2^3128,1602
(C2×C8).610C23 = C2×C4×M4(2)φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).610C2^3128,1603
(C2×C8).611C23 = M4(2)○2M4(2)φ: C23/C22C2 ⊆ Aut C2×C832(C2xC8).611C2^3128,1605
(C2×C8).612C23 = D4.5C42φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).612C2^3128,1607
(C2×C8).613C23 = C42.283C23φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).613C2^3128,1687
(C2×C8).614C23 = C42.294C23φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).614C2^3128,1701
(C2×C8).615C23 = Q86M4(2)φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).615C2^3128,1703
(C2×C8).616C23 = C22×M5(2)φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).616C2^3128,2137
(C2×C8).617C23 = C2×D4○C16φ: C23/C22C2 ⊆ Aut C2×C864(C2xC8).617C2^3128,2138
(C2×C8).618C23 = Q8○M5(2)φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).618C2^3128,2139
(C2×C8).619C23 = C4.22C25φ: C23/C22C2 ⊆ Aut C2×C8324(C2xC8).619C2^3128,2305
(C2×C8).620C23 = C2×C165C4central extension (φ=1)128(C2xC8).620C2^3128,838
(C2×C8).621C23 = C4×M5(2)central extension (φ=1)64(C2xC8).621C2^3128,839
(C2×C8).622C23 = C162M5(2)central extension (φ=1)64(C2xC8).622C2^3128,840
(C2×C8).623C23 = C2×C22⋊C16central extension (φ=1)64(C2xC8).623C2^3128,843
(C2×C8).624C23 = C24.5C8central extension (φ=1)32(C2xC8).624C2^3128,844
(C2×C8).625C23 = (C2×D4).5C8central extension (φ=1)64(C2xC8).625C2^3128,845
(C2×C8).626C23 = C2×C4⋊C16central extension (φ=1)128(C2xC8).626C2^3128,881
(C2×C8).627C23 = C4⋊M5(2)central extension (φ=1)64(C2xC8).627C2^3128,882
(C2×C8).628C23 = C4⋊C4.7C8central extension (φ=1)64(C2xC8).628C2^3128,883
(C2×C8).629C23 = C42.13C8central extension (φ=1)64(C2xC8).629C2^3128,894
(C2×C8).630C23 = C42.6C8central extension (φ=1)64(C2xC8).630C2^3128,895
(C2×C8).631C23 = C8.12M4(2)central extension (φ=1)64(C2xC8).631C2^3128,896
(C2×C8).632C23 = D4×C16central extension (φ=1)64(C2xC8).632C2^3128,899
(C2×C8).633C23 = C169D4central extension (φ=1)64(C2xC8).633C2^3128,900
(C2×C8).634C23 = C166D4central extension (φ=1)64(C2xC8).634C2^3128,901
(C2×C8).635C23 = Q8×C16central extension (φ=1)128(C2xC8).635C2^3128,914
(C2×C8).636C23 = C164Q8central extension (φ=1)128(C2xC8).636C2^3128,915
(C2×C8).637C23 = C2×C82M4(2)central extension (φ=1)64(C2xC8).637C2^3128,1604
(C2×C8).638C23 = C4×C8○D4central extension (φ=1)64(C2xC8).638C2^3128,1606
(C2×C8).639C23 = C42.264C23central extension (φ=1)32(C2xC8).639C2^3128,1661
(C2×C8).640C23 = C42.286C23central extension (φ=1)64(C2xC8).640C2^3128,1692
(C2×C8).641C23 = C42.291C23central extension (φ=1)64(C2xC8).641C2^3128,1698

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