Extensions 1→N→G→Q→1 with N=C23×C4 and Q=C22

Direct product G=N×Q with N=C23×C4 and Q=C22
dρLabelID
C25×C4128C2^5xC4128,2319

Semidirect products G=N:Q with N=C23×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C23×C4)⋊1C22 = 2+ 1+42C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):1C2^2128,522
(C23×C4)⋊2C22 = C2×C243C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):2C2^2128,1009
(C23×C4)⋊3C22 = C4×C22≀C2φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):3C2^2128,1031
(C23×C4)⋊4C22 = C24.90D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):4C2^2128,1040
(C23×C4)⋊5C22 = C23.203C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):5C2^2128,1053
(C23×C4)⋊6C22 = D4×C22⋊C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):6C2^2128,1070
(C23×C4)⋊7C22 = C23.240C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):7C2^2128,1090
(C23×C4)⋊8C22 = C23.257C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):8C2^2128,1107
(C23×C4)⋊9C22 = C24.94D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):9C2^2128,1137
(C23×C4)⋊10C22 = C23.318C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):10C2^2128,1150
(C23×C4)⋊11C22 = C23.434C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):11C2^2128,1266
(C23×C4)⋊12C22 = C23.584C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):12C2^2128,1416
(C23×C4)⋊13C22 = C23.597C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):13C2^2128,1429
(C23×C4)⋊14C22 = C2×C23.7D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):14C2^2128,1756
(C23×C4)⋊15C22 = C2×C22.11C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):15C2^2128,2157
(C23×C4)⋊16C22 = C4×2+ 1+4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):16C2^2128,2161
(C23×C4)⋊17C22 = C2×C22.45C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):17C2^2128,2201
(C23×C4)⋊18C22 = C247D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):18C2^2128,1135
(C23×C4)⋊19C22 = C23.304C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):19C2^2128,1136
(C23×C4)⋊20C22 = C23.308C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):20C2^2128,1140
(C23×C4)⋊21C22 = C248D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):21C2^2128,1142
(C23×C4)⋊22C22 = C23.324C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):22C2^2128,1156
(C23×C4)⋊23C22 = C23.568C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):23C2^2128,1400
(C23×C4)⋊24C22 = C23.569C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):24C2^2128,1401
(C23×C4)⋊25C22 = C23.578C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):25C2^2128,1410
(C23×C4)⋊26C22 = C23.7C24φ: C22/C1C22 ⊆ Aut C23×C4164(C2^3xC4):26C2^2128,1757
(C23×C4)⋊27C22 = C22×C22≀C2φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):27C2^2128,2163
(C23×C4)⋊28C22 = C2×C22.19C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):28C2^2128,2167
(C23×C4)⋊29C22 = C2×C233D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):29C2^2128,2177
(C23×C4)⋊30C22 = C2×C22.29C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):30C2^2128,2178
(C23×C4)⋊31C22 = C22.38C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):31C2^2128,2181
(C23×C4)⋊32C22 = C2×C22.32C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):32C2^2128,2182
(C23×C4)⋊33C22 = C22.48C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):33C2^2128,2191
(C23×C4)⋊34C22 = C2×D42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):34C2^2128,2194
(C23×C4)⋊35C22 = C2×D45D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):35C2^2128,2195
(C23×C4)⋊36C22 = D4×C4○D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):36C2^2128,2200
(C23×C4)⋊37C22 = C22.70C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):37C2^2128,2213
(C23×C4)⋊38C22 = C22.73C25φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4):38C2^2128,2216
(C23×C4)⋊39C22 = C22.74C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):39C2^2128,2217
(C23×C4)⋊40C22 = C22.77C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):40C2^2128,2220
(C23×C4)⋊41C22 = C22.79C25φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4):41C2^2128,2222
(C23×C4)⋊42C22 = C4⋊2+ 1+4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):42C2^2128,2228
(C23×C4)⋊43C22 = C22.94C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):43C2^2128,2237
(C23×C4)⋊44C22 = C22.102C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):44C2^2128,2245
(C23×C4)⋊45C22 = C22.108C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):45C2^2128,2251
(C23×C4)⋊46C22 = C2×C22.54C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):46C2^2128,2257
(C23×C4)⋊47C22 = C22.118C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):47C2^2128,2261
(C23×C4)⋊48C22 = C22.122C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):48C2^2128,2265
(C23×C4)⋊49C22 = C22.123C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):49C2^2128,2266
(C23×C4)⋊50C22 = C22.126C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):50C2^2128,2269
(C23×C4)⋊51C22 = C22.129C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):51C2^2128,2272
(C23×C4)⋊52C22 = C22.131C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):52C2^2128,2274
(C23×C4)⋊53C22 = C22×2+ 1+4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):53C2^2128,2323
(C23×C4)⋊54C22 = C2×C2.C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4):54C2^2128,2325
(C23×C4)⋊55C22 = C2×C23.23D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):55C2^2128,1019
(C23×C4)⋊56C22 = C23×C22⋊C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):56C2^2128,2151
(C23×C4)⋊57C22 = D4×C22×C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):57C2^2128,2154
(C23×C4)⋊58C22 = C22×C22.D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):58C2^2128,2166
(C23×C4)⋊59C22 = C22×C4⋊D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):59C2^2128,2164
(C23×C4)⋊60C22 = D4×C24φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):60C2^2128,2320
(C23×C4)⋊61C22 = C23×C4○D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4):61C2^2128,2322

Non-split extensions G=N.Q with N=C23×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C23×C4).1C22 = C23.19C42φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).1C2^2128,12
(C23×C4).2C22 = C23.21C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).2C2^2128,14
(C23×C4).3C22 = C24.17Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).3C2^2128,165
(C23×C4).4C22 = C24.624C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).4C2^2128,166
(C23×C4).5C22 = C24.625C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).5C2^2128,167
(C23×C4).6C22 = C24.50D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).6C2^2128,170
(C23×C4).7C22 = C24.5Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).7C2^2128,171
(C23×C4).8C22 = C24.52D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).8C2^2128,172
(C23×C4).9C22 = C24.631C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).9C2^2128,173
(C23×C4).10C22 = C24.632C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).10C2^2128,174
(C23×C4).11C22 = C24.633C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).11C2^2128,175
(C23×C4).12C22 = C24.634C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).12C2^2128,176
(C23×C4).13C22 = C24.635C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).13C2^2128,177
(C23×C4).14C22 = C24.636C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).14C2^2128,178
(C23×C4).15C22 = C2×C23⋊C8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).15C2^2128,188
(C23×C4).16C22 = C2×C22.M4(2)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).16C2^2128,189
(C23×C4).17C22 = C23.8M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).17C2^2128,191
(C23×C4).18C22 = C4×C23⋊C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).18C2^2128,486
(C23×C4).19C22 = C24.22D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).19C2^2128,599
(C23×C4).20C22 = C23.22M4(2)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).20C2^2128,601
(C23×C4).21C22 = C24.26D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).21C2^2128,622
(C23×C4).22C22 = C22⋊C44C8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).22C2^2128,655
(C23×C4).23C22 = C23.9M4(2)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).23C2^2128,656
(C23×C4).24C22 = C42.325D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).24C2^2128,686
(C23×C4).25C22 = C42.109D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).25C2^2128,687
(C23×C4).26C22 = C24.31D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).26C2^2128,754
(C23×C4).27C22 = C24.180C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).27C2^2128,762
(C23×C4).28C22 = C24.33D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).28C2^2128,776
(C23×C4).29C22 = C24.182C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).29C2^2128,794
(C23×C4).30C22 = C23⋊C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).30C2^2128,1005
(C23×C4).31C22 = C24.524C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).31C2^2128,1006
(C23×C4).32C22 = D44C42φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).32C2^2128,1007
(C23×C4).33C22 = C2×C428C4φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).33C2^2128,1013
(C23×C4).34C22 = C2×C23.63C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).34C2^2128,1020
(C23×C4).35C22 = C2×C24.C22φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).35C2^2128,1021
(C23×C4).36C22 = C2×C24.3C22φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).36C2^2128,1024
(C23×C4).37C22 = C4×C4.4D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).37C2^2128,1035
(C23×C4).38C22 = C4×C422C2φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).38C2^2128,1036
(C23×C4).39C22 = C4×C41D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).39C2^2128,1038
(C23×C4).40C22 = C24.542C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).40C2^2128,1043
(C23×C4).41C22 = C23.194C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).41C2^2128,1044
(C23×C4).42C22 = C24.91D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).42C2^2128,1047
(C23×C4).43C22 = C23.199C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).43C2^2128,1049
(C23×C4).44C22 = C24.547C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).44C2^2128,1050
(C23×C4).45C22 = C24.195C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).45C2^2128,1054
(C23×C4).46C22 = C24.198C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).46C2^2128,1057
(C23×C4).47C22 = C42.160D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).47C2^2128,1058
(C23×C4).48C22 = C4214D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).48C2^2128,1060
(C23×C4).49C22 = C23.211C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).49C2^2128,1061
(C23×C4).50C22 = C24.203C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).50C2^2128,1066
(C23×C4).51C22 = C24.205C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).51C2^2128,1069
(C23×C4).52C22 = C24.549C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).52C2^2128,1071
(C23×C4).53C22 = C23.231C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).53C2^2128,1081
(C23×C4).54C22 = C24.212C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).54C2^2128,1089
(C23×C4).55C22 = C24.558C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).55C2^2128,1092
(C23×C4).56C22 = C24.215C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).56C2^2128,1093
(C23×C4).57C22 = C24.219C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).57C2^2128,1098
(C23×C4).58C22 = C24.220C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).58C2^2128,1099
(C23×C4).59C22 = C24.221C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).59C2^2128,1104
(C23×C4).60C22 = C23.255C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).60C2^2128,1105
(C23×C4).61C22 = C24.223C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).61C2^2128,1106
(C23×C4).62C22 = C23.261C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).62C2^2128,1111
(C23×C4).63C22 = C23.262C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).63C2^2128,1112
(C23×C4).64C22 = C24.230C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).64C2^2128,1115
(C23×C4).65C22 = C2×C23.78C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).65C2^2128,1119
(C23×C4).66C22 = C2×C23.4Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).66C2^2128,1125
(C23×C4).67C22 = C2×C23.83C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).67C2^2128,1126
(C23×C4).68C22 = C4216D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).68C2^2128,1129
(C23×C4).69C22 = C42.163D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).69C2^2128,1130
(C23×C4).70C22 = C2×C23.84C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).70C2^2128,1132
(C23×C4).71C22 = C23.301C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).71C2^2128,1133
(C23×C4).72C22 = C24.563C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).72C2^2128,1151
(C23×C4).73C22 = C24.254C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).73C2^2128,1152
(C23×C4).74C22 = C23.322C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).74C2^2128,1154
(C23×C4).75C22 = C24.269C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).75C2^2128,1175
(C23×C4).76C22 = C23.344C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).76C2^2128,1176
(C23×C4).77C22 = C23.345C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).77C2^2128,1177
(C23×C4).78C22 = C24.271C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).78C2^2128,1179
(C23×C4).79C22 = C23.349C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).79C2^2128,1181
(C23×C4).80C22 = C23.350C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).80C2^2128,1182
(C23×C4).81C22 = C24.276C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).81C2^2128,1187
(C23×C4).82C22 = C23.356C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).82C2^2128,1188
(C23×C4).83C22 = C24.278C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).83C2^2128,1189
(C23×C4).84C22 = C24.279C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).84C2^2128,1190
(C23×C4).85C22 = C23.359C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).85C2^2128,1191
(C23×C4).86C22 = C23.360C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).86C2^2128,1192
(C23×C4).87C22 = C24.282C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).87C2^2128,1193
(C23×C4).88C22 = C24.283C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).88C2^2128,1195
(C23×C4).89C22 = C23.364C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).89C2^2128,1196
(C23×C4).90C22 = C24.286C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).90C2^2128,1198
(C23×C4).91C22 = C23.367C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).91C2^2128,1199
(C23×C4).92C22 = C23.368C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).92C2^2128,1200
(C23×C4).93C22 = C23.372C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).93C2^2128,1204
(C23×C4).94C22 = C23.380C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).94C2^2128,1212
(C23×C4).95C22 = C24.96D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).95C2^2128,1215
(C23×C4).96C22 = C23.388C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).96C2^2128,1220
(C23×C4).97C22 = C24.577C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).97C2^2128,1225
(C23×C4).98C22 = C23.401C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).98C2^2128,1233
(C23×C4).99C22 = C23.402C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).99C2^2128,1234
(C23×C4).100C22 = C24.579C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).100C2^2128,1235
(C23×C4).101C22 = C23.404C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).101C2^2128,1236
(C23×C4).102C22 = C23.405C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).102C2^2128,1237
(C23×C4).103C22 = C23.410C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).103C2^2128,1242
(C23×C4).104C22 = C24.309C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).104C2^2128,1247
(C23×C4).105C22 = C23.416C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).105C2^2128,1248
(C23×C4).106C22 = C23.417C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).106C2^2128,1249
(C23×C4).107C22 = C23.418C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).107C2^2128,1250
(C23×C4).108C22 = C24.313C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).108C2^2128,1255
(C23×C4).109C22 = C23.426C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).109C2^2128,1258
(C23×C4).110C22 = C24.315C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).110C2^2128,1259
(C23×C4).111C22 = C4217D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).111C2^2128,1267
(C23×C4).112C22 = C23.443C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).112C2^2128,1275
(C23×C4).113C22 = C4221D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).113C2^2128,1276
(C23×C4).114C22 = C24.327C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).114C2^2128,1286
(C23×C4).115C22 = C23.457C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).115C2^2128,1289
(C23×C4).116C22 = C23.458C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).116C2^2128,1290
(C23×C4).117C22 = C24.331C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).117C2^2128,1291
(C23×C4).118C22 = C42.175D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).118C2^2128,1298
(C23×C4).119C22 = C23.472C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).119C2^2128,1304
(C23×C4).120C22 = C23.473C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).120C2^2128,1305
(C23×C4).121C22 = C24.339C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).121C2^2128,1307
(C23×C4).122C22 = C24.340C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).122C2^2128,1308
(C23×C4).123C22 = C23.478C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).123C2^2128,1310
(C23×C4).124C22 = C23.479C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).124C2^2128,1311
(C23×C4).125C22 = C42.178D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).125C2^2128,1312
(C23×C4).126C22 = C24.345C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).126C2^2128,1319
(C23×C4).127C22 = C24.346C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).127C2^2128,1321
(C23×C4).128C22 = C24.347C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).128C2^2128,1327
(C23×C4).129C22 = C24.348C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).129C2^2128,1329
(C23×C4).130C22 = C4222D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).130C2^2128,1330
(C23×C4).131C22 = C23.500C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).131C2^2128,1332
(C23×C4).132C22 = C23.502C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).132C2^2128,1334
(C23×C4).133C22 = C4224D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).133C2^2128,1335
(C23×C4).134C22 = C24.355C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).134C2^2128,1339
(C23×C4).135C22 = C23.508C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).135C2^2128,1340
(C23×C4).136C22 = C24.97D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).136C2^2128,1354
(C23×C4).137C22 = C4229D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).137C2^2128,1363
(C23×C4).138C22 = C42.190D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).138C2^2128,1365
(C23×C4).139C22 = C4230D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).139C2^2128,1368
(C23×C4).140C22 = C24.592C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).140C2^2128,1371
(C23×C4).141C22 = C23.543C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).141C2^2128,1375
(C23×C4).142C22 = C23.546C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).142C2^2128,1378
(C23×C4).143C22 = C23.548C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).143C2^2128,1380
(C23×C4).144C22 = C24.375C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).144C2^2128,1381
(C23×C4).145C22 = C24.376C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).145C2^2128,1384
(C23×C4).146C22 = C23.553C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).146C2^2128,1385
(C23×C4).147C22 = C24.395C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).147C2^2128,1420
(C23×C4).148C22 = C23.591C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).148C2^2128,1423
(C23×C4).149C22 = C23.593C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).149C2^2128,1425
(C23×C4).150C22 = C24.407C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).150C2^2128,1433
(C23×C4).151C22 = C23.603C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).151C2^2128,1435
(C23×C4).152C22 = C23.606C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).152C2^2128,1438
(C23×C4).153C22 = C24.411C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).153C2^2128,1441
(C23×C4).154C22 = C24.412C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).154C2^2128,1442
(C23×C4).155C22 = C23.612C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).155C2^2128,1444
(C23×C4).156C22 = C23.618C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).156C2^2128,1450
(C23×C4).157C22 = C23.624C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).157C2^2128,1456
(C23×C4).158C22 = C23.643C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).158C2^2128,1475
(C23×C4).159C22 = C24.432C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).159C2^2128,1478
(C23×C4).160C22 = C24.434C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).160C2^2128,1480
(C23×C4).161C22 = C23.649C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).161C2^2128,1481
(C23×C4).162C22 = C23.651C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).162C2^2128,1483
(C23×C4).163C22 = C23.652C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).163C2^2128,1484
(C23×C4).164C22 = C24.437C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).164C2^2128,1485
(C23×C4).165C22 = C24.438C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).165C2^2128,1489
(C23×C4).166C22 = C23.660C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).166C2^2128,1492
(C23×C4).167C22 = C24.440C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).167C2^2128,1493
(C23×C4).168C22 = C23.663C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).168C2^2128,1495
(C23×C4).169C22 = C23.664C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).169C2^2128,1496
(C23×C4).170C22 = C24.443C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).170C2^2128,1497
(C23×C4).171C22 = C23.671C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).171C2^2128,1503
(C23×C4).172C22 = C23.678C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).172C2^2128,1510
(C23×C4).173C22 = C24.448C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).173C2^2128,1512
(C23×C4).174C22 = C23.682C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).174C2^2128,1514
(C23×C4).175C22 = C24.454C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).175C2^2128,1522
(C23×C4).176C22 = C23.696C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).176C2^2128,1528
(C23×C4).177C22 = C23.697C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).177C2^2128,1529
(C23×C4).178C22 = C24.456C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).178C2^2128,1536
(C23×C4).179C22 = C23.707C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).179C2^2128,1539
(C23×C4).180C22 = C23.724C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).180C2^2128,1556
(C23×C4).181C22 = C23.725C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).181C2^2128,1557
(C23×C4).182C22 = C23.726C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).182C2^2128,1558
(C23×C4).183C22 = C23.727C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).183C2^2128,1559
(C23×C4).184C22 = C23.734C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).184C2^2128,1566
(C23×C4).185C22 = C23.735C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).185C2^2128,1567
(C23×C4).186C22 = C42.691C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).186C2^2128,1704
(C23×C4).187C22 = C2×C23.33C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).187C2^2128,2159
(C23×C4).188C22 = C2×C22.53C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).188C2^2128,2211
(C23×C4).189C22 = C24.46D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).189C2^2128,16
(C23×C4).190C22 = C23.8D8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).190C2^2128,21
(C23×C4).191C22 = C24.2Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).191C2^2128,25
(C23×C4).192C22 = C23.30D8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).192C2^2128,26
(C23×C4).193C22 = C24.48D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).193C2^2128,29
(C23×C4).194C22 = C24.3Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).194C2^2128,30
(C23×C4).195C22 = C23.C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).195C2^2128,37
(C23×C4).196C22 = C23.8C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).196C2^2128,38
(C23×C4).197C22 = C25.3C4φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4).197C2^2128,194
(C23×C4).198C22 = (C2×C4)⋊M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).198C2^2128,195
(C23×C4).199C22 = C23⋊M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).199C2^2128,197
(C23×C4).200C22 = C23⋊C8⋊C2φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).200C2^2128,200
(C23×C4).201C22 = C24.(C2×C4)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).201C2^2128,203
(C23×C4).202C22 = C24.45(C2×C4)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).202C2^2128,204
(C23×C4).203C22 = C2×C22.SD16φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).203C2^2128,230
(C23×C4).204C22 = C2×C23.31D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).204C2^2128,231
(C23×C4).205C22 = C24.53D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).205C2^2128,233
(C23×C4).206C22 = C24.150D4φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4).206C2^2128,236
(C23×C4).207C22 = C24.54D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).207C2^2128,239
(C23×C4).208C22 = C24.55D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).208C2^2128,240
(C23×C4).209C22 = C24.56D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).209C2^2128,242
(C23×C4).210C22 = C24.57D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).210C2^2128,243
(C23×C4).211C22 = C24.58D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).211C2^2128,245
(C23×C4).212C22 = C24.59D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).212C2^2128,248
(C23×C4).213C22 = C24.60D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).213C2^2128,251
(C23×C4).214C22 = C24.61D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).214C2^2128,252
(C23×C4).215C22 = C2×C4.9C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).215C2^2128,462
(C23×C4).216C22 = C2×C4.10C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).216C2^2128,463
(C23×C4).217C22 = C24.63D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).217C2^2128,465
(C23×C4).218C22 = C24.152D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).218C2^2128,468
(C23×C4).219C22 = C24.7Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).219C2^2128,470
(C23×C4).220C22 = C24.162C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).220C2^2128,472
(C23×C4).221C22 = C2×C22.C42φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).221C2^2128,473
(C23×C4).222C22 = C23.15C42φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).222C2^2128,474
(C23×C4).223C22 = C2×M4(2)⋊4C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).223C2^2128,475
(C23×C4).224C22 = C42.379D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).224C2^2128,482
(C23×C4).225C22 = C23.17C42φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).225C2^2128,485
(C23×C4).226C22 = C24.51(C2×C4)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).226C2^2128,512
(C23×C4).227C22 = C24.165C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).227C2^2128,514
(C23×C4).228C22 = C25.C4φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4).228C2^2128,515
(C23×C4).229C22 = C4.C22≀C2φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).229C2^2128,516
(C23×C4).230C22 = (C23×C4).C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).230C2^2128,517
(C23×C4).231C22 = C23.35D8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).231C2^2128,518
(C23×C4).232C22 = C24.155D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).232C2^2128,519
(C23×C4).233C22 = C24.65D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).233C2^2128,520
(C23×C4).234C22 = C24.66D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).234C2^2128,521
(C23×C4).235C22 = C42.95D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).235C2^2128,530
(C23×C4).236C22 = C24.167C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).236C2^2128,531
(C23×C4).237C22 = C24.67D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).237C2^2128,541
(C23×C4).238C22 = C24.9Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).238C2^2128,543
(C23×C4).239C22 = C24.53(C2×C4)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).239C2^2128,550
(C23×C4).240C22 = C24.169C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).240C2^2128,552
(C23×C4).241C22 = (C22×C4).275D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).241C2^2128,553
(C23×C4).242C22 = (C22×C4).276D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).242C2^2128,554
(C23×C4).243C22 = C23.36D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).243C2^2128,555
(C23×C4).244C22 = C24.157D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).244C2^2128,556
(C23×C4).245C22 = C24.69D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).245C2^2128,557
(C23×C4).246C22 = C24.70D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).246C2^2128,558
(C23×C4).247C22 = (C2×C8).195D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).247C2^2128,583
(C23×C4).248C22 = C23.37D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).248C2^2128,584
(C23×C4).249C22 = C24.159D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).249C2^2128,585
(C23×C4).250C22 = C24.71D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).250C2^2128,586
(C23×C4).251C22 = C24.10Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).251C2^2128,587
(C23×C4).252C22 = C232M4(2)φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).252C2^2128,602
(C23×C4).253C22 = C24.72D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).253C2^2128,603
(C23×C4).254C22 = C24.160D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).254C2^2128,604
(C23×C4).255C22 = C24.73D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).255C2^2128,605
(C23×C4).256C22 = C23.38D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).256C2^2128,606
(C23×C4).257C22 = C24.74D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).257C2^2128,607
(C23×C4).258C22 = (C2×C8)⋊D4φ: C22/C1C22 ⊆ Aut C23×C4164(C2^3xC4).258C2^2128,623
(C23×C4).259C22 = C24.75D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).259C2^2128,626
(C23×C4).260C22 = C24.76D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).260C2^2128,627
(C23×C4).261C22 = C427D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).261C2^2128,629
(C23×C4).262C22 = C24.174C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).262C2^2128,631
(C23×C4).263C22 = M4(2)⋊20D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).263C2^2128,632
(C23×C4).264C22 = M4(2).45D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).264C2^2128,633
(C23×C4).265C22 = C24.175C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).265C2^2128,696
(C23×C4).266C22 = C24.176C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).266C2^2128,728
(C23×C4).267C22 = C232D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).267C2^2128,731
(C23×C4).268C22 = C233SD16φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).268C2^2128,732
(C23×C4).269C22 = C232Q16φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).269C2^2128,733
(C23×C4).270C22 = C422D4φ: C22/C1C22 ⊆ Aut C23×C4164(C2^3xC4).270C2^2128,742
(C23×C4).271C22 = C24.83D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).271C2^2128,765
(C23×C4).272C22 = C24.84D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).272C2^2128,766
(C23×C4).273C22 = C24.85D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).273C2^2128,767
(C23×C4).274C22 = C24.86D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).274C2^2128,768
(C23×C4).275C22 = C23.12D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).275C2^2128,807
(C23×C4).276C22 = C24.88D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).276C2^2128,808
(C23×C4).277C22 = C24.89D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).277C2^2128,809
(C23×C4).278C22 = C24.11Q8φ: C22/C1C22 ⊆ Aut C23×C4164(C2^3xC4).278C2^2128,823
(C23×C4).279C22 = C2×C23.8Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).279C2^2128,1018
(C23×C4).280C22 = C2×C23.65C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).280C2^2128,1023
(C23×C4).281C22 = C439C2φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).281C2^2128,1025
(C23×C4).282C22 = C2×C23.67C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).282C2^2128,1026
(C23×C4).283C22 = C23.179C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).283C2^2128,1029
(C23×C4).284C22 = C432C2φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).284C2^2128,1030
(C23×C4).285C22 = C23.191C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).285C2^2128,1041
(C23×C4).286C22 = C23.192C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).286C2^2128,1042
(C23×C4).287C22 = C23.195C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).287C2^2128,1045
(C23×C4).288C22 = C24.192C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).288C2^2128,1046
(C23×C4).289C22 = C24.545C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).289C2^2128,1048
(C23×C4).290C22 = C23.201C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).290C2^2128,1051
(C23×C4).291C22 = C42.159D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).291C2^2128,1055
(C23×C4).292C22 = C4213D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).292C2^2128,1056
(C23×C4).293C22 = C23.214C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).293C2^2128,1064
(C23×C4).294C22 = C23.215C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).294C2^2128,1065
(C23×C4).295C22 = C24.204C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).295C2^2128,1067
(C23×C4).296C22 = Q8×C22⋊C4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).296C2^2128,1072
(C23×C4).297C22 = C23.223C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).297C2^2128,1073
(C23×C4).298C22 = C23.224C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).298C2^2128,1074
(C23×C4).299C22 = C23.225C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).299C2^2128,1075
(C23×C4).300C22 = C23.226C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).300C2^2128,1076
(C23×C4).301C22 = C23.227C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).301C2^2128,1077
(C23×C4).302C22 = C24.208C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).302C2^2128,1078
(C23×C4).303C22 = C23.229C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).303C2^2128,1079
(C23×C4).304C22 = D4×C4⋊C4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).304C2^2128,1080
(C23×C4).305C22 = C23.234C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).305C2^2128,1084
(C23×C4).306C22 = C23.235C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).306C2^2128,1085
(C23×C4).307C22 = C23.236C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).307C2^2128,1086
(C23×C4).308C22 = C23.241C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).308C2^2128,1091
(C23×C4).309C22 = C23.244C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).309C2^2128,1094
(C23×C4).310C22 = C24.217C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).310C2^2128,1095
(C23×C4).311C22 = C24.218C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).311C2^2128,1096
(C23×C4).312C22 = C23.250C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).312C2^2128,1100
(C23×C4).313C22 = C24.225C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).313C2^2128,1108
(C23×C4).314C22 = C23.259C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).314C2^2128,1109
(C23×C4).315C22 = C24.227C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).315C2^2128,1110
(C23×C4).316C22 = C2×C232D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).316C2^2128,1116
(C23×C4).317C22 = C2×C23⋊Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).317C2^2128,1117
(C23×C4).318C22 = C2×C23.10D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).318C2^2128,1118
(C23×C4).319C22 = C23.288C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).319C2^2128,1120
(C23×C4).320C22 = C2×C23.Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).320C2^2128,1121
(C23×C4).321C22 = C2×C23.11D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).321C2^2128,1122
(C23×C4).322C22 = C2×C23.81C23φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).322C2^2128,1123
(C23×C4).323C22 = C4215D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).323C2^2128,1124
(C23×C4).324C22 = C23.295C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).324C2^2128,1127
(C23×C4).325C22 = C42.162D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).325C2^2128,1128
(C23×C4).326C22 = C24.243C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).326C2^2128,1138
(C23×C4).327C22 = C24.244C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).327C2^2128,1139
(C23×C4).328C22 = C23.309C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).328C2^2128,1141
(C23×C4).329C22 = C23.311C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).329C2^2128,1143
(C23×C4).330C22 = C24.95D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).330C2^2128,1144
(C23×C4).331C22 = C23.313C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).331C2^2128,1145
(C23×C4).332C22 = C24.249C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).332C2^2128,1146
(C23×C4).333C22 = C23.315C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).333C2^2128,1147
(C23×C4).334C22 = C23.316C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).334C2^2128,1148
(C23×C4).335C22 = C24.252C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).335C2^2128,1149
(C23×C4).336C22 = C23.321C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).336C2^2128,1153
(C23×C4).337C22 = C23.323C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).337C2^2128,1155
(C23×C4).338C22 = C24.258C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).338C2^2128,1157
(C23×C4).339C22 = C24.259C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).339C2^2128,1158
(C23×C4).340C22 = C23.327C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).340C2^2128,1159
(C23×C4).341C22 = C23.328C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).341C2^2128,1160
(C23×C4).342C22 = C23.329C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).342C2^2128,1161
(C23×C4).343C22 = C24.262C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).343C2^2128,1162
(C23×C4).344C22 = C24.263C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).344C2^2128,1163
(C23×C4).345C22 = C24.264C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).345C2^2128,1164
(C23×C4).346C22 = C23.333C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).346C2^2128,1165
(C23×C4).347C22 = C23.334C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).347C2^2128,1166
(C23×C4).348C22 = C23.335C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).348C2^2128,1167
(C23×C4).349C22 = C24.565C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).349C2^2128,1168
(C23×C4).350C22 = C244Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).350C2^2128,1169
(C23×C4).351C22 = C24.567C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).351C2^2128,1170
(C23×C4).352C22 = C24.267C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).352C2^2128,1171
(C23×C4).353C22 = C24.568C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).353C2^2128,1172
(C23×C4).354C22 = C24.268C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).354C2^2128,1173
(C23×C4).355C22 = C24.569C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).355C2^2128,1174
(C23×C4).356C22 = C23.352C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).356C2^2128,1184
(C23×C4).357C22 = C23.354C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).357C2^2128,1186
(C23×C4).358C22 = C24.285C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).358C2^2128,1197
(C23×C4).359C22 = C24.289C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).359C2^2128,1202
(C23×C4).360C22 = C24.290C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).360C2^2128,1203
(C23×C4).361C22 = C24.572C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).361C2^2128,1205
(C23×C4).362C22 = C23.374C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).362C2^2128,1206
(C23×C4).363C22 = C23.375C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).363C2^2128,1207
(C23×C4).364C22 = C24.293C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).364C2^2128,1208
(C23×C4).365C22 = C23.377C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).365C2^2128,1209
(C23×C4).366C22 = C24.295C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).366C2^2128,1210
(C23×C4).367C22 = C23.379C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).367C2^2128,1211
(C23×C4).368C22 = C24.573C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).368C2^2128,1213
(C23×C4).369C22 = C23.382C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).369C2^2128,1214
(C23×C4).370C22 = C24.576C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).370C2^2128,1216
(C23×C4).371C22 = C23.385C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).371C2^2128,1217
(C23×C4).372C22 = C24.299C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).372C2^2128,1218
(C23×C4).373C22 = C24.300C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).373C2^2128,1219
(C23×C4).374C22 = C24.301C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).374C2^2128,1221
(C23×C4).375C22 = C23.390C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).375C2^2128,1222
(C23×C4).376C22 = C23.391C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).376C2^2128,1223
(C23×C4).377C22 = C23.392C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).377C2^2128,1224
(C23×C4).378C22 = C24.304C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).378C2^2128,1226
(C23×C4).379C22 = C23.395C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).379C2^2128,1227
(C23×C4).380C22 = C23.396C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).380C2^2128,1228
(C23×C4).381C22 = C23.397C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).381C2^2128,1229
(C23×C4).382C22 = C23.398C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).382C2^2128,1230
(C23×C4).383C22 = C24.308C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).383C2^2128,1231
(C23×C4).384C22 = C23.400C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).384C2^2128,1232
(C23×C4).385C22 = C24.311C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).385C2^2128,1253
(C23×C4).386C22 = C23.422C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).386C2^2128,1254
(C23×C4).387C22 = C23.430C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).387C2^2128,1262
(C23×C4).388C22 = C23.431C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).388C2^2128,1263
(C23×C4).389C22 = C42.165D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).389C2^2128,1268
(C23×C4).390C22 = C4218D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).390C2^2128,1269
(C23×C4).391C22 = C42.166D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).391C2^2128,1270
(C23×C4).392C22 = C23.439C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).392C2^2128,1271
(C23×C4).393C22 = C4219D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).393C2^2128,1272
(C23×C4).394C22 = C4220D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).394C2^2128,1273
(C23×C4).395C22 = C42.167D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).395C2^2128,1274
(C23×C4).396C22 = C42.170D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).396C2^2128,1279
(C23×C4).397C22 = C23.449C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).397C2^2128,1281
(C23×C4).398C22 = C24.326C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).398C2^2128,1285
(C23×C4).399C22 = C23.455C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).399C2^2128,1287
(C23×C4).400C22 = C23.456C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).400C2^2128,1288
(C23×C4).401C22 = C24.332C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).401C2^2128,1292
(C23×C4).402C22 = C23.461C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).402C2^2128,1293
(C23×C4).403C22 = C42.172D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).403C2^2128,1294
(C23×C4).404C22 = C42.173D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).404C2^2128,1295
(C23×C4).405C22 = C24.583C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).405C2^2128,1296
(C23×C4).406C22 = C24.584C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).406C2^2128,1301
(C23×C4).407C22 = C24.338C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).407C2^2128,1306
(C23×C4).408C22 = C24.341C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).408C2^2128,1309
(C23×C4).409C22 = C23.483C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).409C2^2128,1315
(C23×C4).410C22 = C23.491C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).410C2^2128,1323
(C23×C4).411C22 = C42.183D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).411C2^2128,1331
(C23×C4).412C22 = C4223D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).412C2^2128,1333
(C23×C4).413C22 = C4225D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).413C2^2128,1341
(C23×C4).414C22 = C4226D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).414C2^2128,1342
(C23×C4).415C22 = C42.185D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).415C2^2128,1343
(C23×C4).416C22 = C249D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).416C2^2128,1345
(C23×C4).417C22 = C23.514C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).417C2^2128,1346
(C23×C4).418C22 = C24.360C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).418C2^2128,1347
(C23×C4).419C22 = C24.361C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).419C2^2128,1348
(C23×C4).420C22 = C2410D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).420C2^2128,1349
(C23×C4).421C22 = C24.587C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).421C2^2128,1350
(C23×C4).422C22 = C4227D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).422C2^2128,1351
(C23×C4).423C22 = C4228D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).423C2^2128,1352
(C23×C4).424C22 = C42.186D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).424C2^2128,1353
(C23×C4).425C22 = C24.589C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).425C2^2128,1355
(C23×C4).426C22 = C23.524C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).426C2^2128,1356
(C23×C4).427C22 = C23.525C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).427C2^2128,1357
(C23×C4).428C22 = C245Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).428C2^2128,1358
(C23×C4).429C22 = C23.527C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).429C2^2128,1359
(C23×C4).430C22 = C42.187D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).430C2^2128,1360
(C23×C4).431C22 = C42.188D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).431C2^2128,1361
(C23×C4).432C22 = C23.530C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).432C2^2128,1362
(C23×C4).433C22 = C23.535C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).433C2^2128,1367
(C23×C4).434C22 = C24.374C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).434C2^2128,1370
(C23×C4).435C22 = C23.556C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).435C2^2128,1388
(C23×C4).436C22 = C23.559C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).436C2^2128,1391
(C23×C4).437C22 = C24.377C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).437C2^2128,1393
(C23×C4).438C22 = C24.378C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).438C2^2128,1395
(C23×C4).439C22 = C24.379C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).439C2^2128,1397
(C23×C4).440C22 = C23.567C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).440C2^2128,1399
(C23×C4).441C22 = C23.571C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).441C2^2128,1403
(C23×C4).442C22 = C23.572C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).442C2^2128,1404
(C23×C4).443C22 = C23.573C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).443C2^2128,1405
(C23×C4).444C22 = C23.574C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).444C2^2128,1406
(C23×C4).445C22 = C24.384C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).445C2^2128,1407
(C23×C4).446C22 = C23.576C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).446C2^2128,1408
(C23×C4).447C22 = C24.385C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).447C2^2128,1409
(C23×C4).448C22 = C23.580C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).448C2^2128,1412
(C23×C4).449C22 = C23.581C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).449C2^2128,1413
(C23×C4).450C22 = C24.389C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).450C2^2128,1414
(C23×C4).451C22 = C23.583C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).451C2^2128,1415
(C23×C4).452C22 = C24.393C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).452C2^2128,1418
(C23×C4).453C22 = C24.394C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).453C2^2128,1419
(C23×C4).454C22 = C23.589C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).454C2^2128,1421
(C23×C4).455C22 = C23.590C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).455C2^2128,1422
(C23×C4).456C22 = C23.592C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).456C2^2128,1424
(C23×C4).457C22 = C24.401C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).457C2^2128,1426
(C23×C4).458C22 = C23.595C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).458C2^2128,1427
(C23×C4).459C22 = C24.403C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).459C2^2128,1428
(C23×C4).460C22 = C24.405C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).460C2^2128,1430
(C23×C4).461C22 = C24.406C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).461C2^2128,1431
(C23×C4).462C22 = C23.600C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).462C2^2128,1432
(C23×C4).463C22 = C23.602C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).463C2^2128,1434
(C23×C4).464C22 = C24.408C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).464C2^2128,1436
(C23×C4).465C22 = C23.605C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).465C2^2128,1437
(C23×C4).466C22 = C23.607C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).466C2^2128,1439
(C23×C4).467C22 = C23.608C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).467C2^2128,1440
(C23×C4).468C22 = C23.611C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).468C2^2128,1443
(C23×C4).469C22 = C24.413C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).469C2^2128,1446
(C23×C4).470C22 = C23.615C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).470C2^2128,1447
(C23×C4).471C22 = C23.617C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).471C2^2128,1449
(C23×C4).472C22 = C23.620C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).472C2^2128,1452
(C23×C4).473C22 = C23.622C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).473C2^2128,1454
(C23×C4).474C22 = C24.418C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).474C2^2128,1455
(C23×C4).475C22 = C24.420C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).475C2^2128,1460
(C23×C4).476C22 = C24.421C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).476C2^2128,1461
(C23×C4).477C22 = C23.630C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).477C2^2128,1462
(C23×C4).478C22 = C23.632C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).478C2^2128,1464
(C23×C4).479C22 = C23.637C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).479C2^2128,1469
(C23×C4).480C22 = C24.426C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).480C2^2128,1470
(C23×C4).481C22 = C24.427C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).481C2^2128,1471
(C23×C4).482C22 = C23.640C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).482C2^2128,1472
(C23×C4).483C22 = C23.641C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).483C2^2128,1473
(C23×C4).484C22 = C24.428C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).484C2^2128,1474
(C23×C4).485C22 = C24.430C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).485C2^2128,1476
(C23×C4).486C22 = C23.645C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).486C2^2128,1477
(C23×C4).487C22 = C23.647C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).487C2^2128,1479
(C23×C4).488C22 = C24.435C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).488C2^2128,1482
(C23×C4).489C22 = C23.656C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).489C2^2128,1488
(C23×C4).490C22 = C23.668C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).490C2^2128,1500
(C23×C4).491C22 = C24.445C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).491C2^2128,1502
(C23×C4).492C22 = C23.679C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).492C2^2128,1511
(C23×C4).493C22 = C23.681C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).493C2^2128,1513
(C23×C4).494C22 = C24.450C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).494C2^2128,1516
(C23×C4).495C22 = C23.686C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).495C2^2128,1518
(C23×C4).496C22 = C23.687C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).496C2^2128,1519
(C23×C4).497C22 = C23.688C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).497C2^2128,1520
(C23×C4).498C22 = C24.459C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).498C2^2128,1545
(C23×C4).499C22 = C23.714C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).499C2^2128,1546
(C23×C4).500C22 = C23.715C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).500C2^2128,1547
(C23×C4).501C22 = C23.716C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).501C2^2128,1548
(C23×C4).502C22 = C24.462C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).502C2^2128,1549
(C23×C4).503C22 = C23.741C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).503C2^2128,1573
(C23×C4).504C22 = M4(2)○2M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).504C2^2128,1605
(C23×C4).505C22 = C2×(C22×C8)⋊C2φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).505C2^2128,1610
(C23×C4).506C22 = C24.73(C2×C4)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).506C2^2128,1611
(C23×C4).507C22 = D4○(C22⋊C8)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).507C2^2128,1612
(C23×C4).508C22 = C2×C23.C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).508C2^2128,1614
(C23×C4).509C22 = C22×C4.D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).509C2^2128,1617
(C23×C4).510C22 = C22×C4.10D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).510C2^2128,1618
(C23×C4).511C22 = C2×M4(2).8C22φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).511C2^2128,1619
(C23×C4).512C22 = C2×C23.37D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).512C2^2128,1625
(C23×C4).513C22 = C2×C23.38D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).513C2^2128,1626
(C23×C4).514C22 = C2×C23.36D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).514C2^2128,1627
(C23×C4).515C22 = C24.98D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).515C2^2128,1628
(C23×C4).516C22 = C2×C42⋊C22φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).516C2^2128,1632
(C23×C4).517C22 = C42.257C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).517C2^2128,1637
(C23×C4).518C22 = C2×M4(2)⋊C4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).518C2^2128,1642
(C23×C4).519C22 = C24.100D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).519C2^2128,1643
(C23×C4).520C22 = C2×M4(2).C4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).520C2^2128,1647
(C23×C4).521C22 = C2×C42.7C22φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).521C2^2128,1651
(C23×C4).522C22 = C42.259C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).522C2^2128,1653
(C23×C4).523C22 = C42.262C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).523C2^2128,1656
(C23×C4).524C22 = C2×C89D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).524C2^2128,1659
(C23×C4).525C22 = C2×C86D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).525C2^2128,1660
(C23×C4).526C22 = C42.265C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).526C2^2128,1662
(C23×C4).527C22 = M4(2)⋊22D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).527C2^2128,1665
(C23×C4).528C22 = D4×M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).528C2^2128,1666
(C23×C4).529C22 = C233M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).529C2^2128,1705
(C23×C4).530C22 = D47M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).530C2^2128,1706
(C23×C4).531C22 = C42.693C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).531C2^2128,1707
(C23×C4).532C22 = C42.297C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).532C2^2128,1708
(C23×C4).533C22 = C42.298C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).533C2^2128,1709
(C23×C4).534C22 = C42.299C23φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).534C2^2128,1710
(C23×C4).535C22 = C2×C22⋊D8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).535C2^2128,1728
(C23×C4).536C22 = C2×C22⋊SD16φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).536C2^2128,1729
(C23×C4).537C22 = C2×Q8⋊D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).537C2^2128,1730
(C23×C4).538C22 = C2×C22⋊Q16φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).538C2^2128,1731
(C23×C4).539C22 = C2×D4⋊D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).539C2^2128,1732
(C23×C4).540C22 = C2×D4.7D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).540C2^2128,1733
(C23×C4).541C22 = C24.103D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).541C2^2128,1734
(C23×C4).542C22 = C24.177D4φ: C22/C1C22 ⊆ Aut C23×C416(C2^3xC4).542C2^2128,1735
(C23×C4).543C22 = C24.178D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).543C2^2128,1736
(C23×C4).544C22 = C24.104D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).544C2^2128,1737
(C23×C4).545C22 = C24.105D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).545C2^2128,1738
(C23×C4).546C22 = C24.106D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).546C2^2128,1739
(C23×C4).547C22 = C2×C8⋊D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).547C2^2128,1783
(C23×C4).548C22 = C2×C82D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).548C2^2128,1784
(C23×C4).549C22 = C2×C8.D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).549C2^2128,1785
(C23×C4).550C22 = C24.110D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).550C2^2128,1786
(C23×C4).551C22 = M4(2)⋊14D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).551C2^2128,1787
(C23×C4).552C22 = M4(2)⋊15D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).552C2^2128,1788
(C23×C4).553C22 = C2×C22.D8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).553C2^2128,1817
(C23×C4).554C22 = C2×C23.47D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).554C2^2128,1818
(C23×C4).555C22 = C2×C23.19D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).555C2^2128,1819
(C23×C4).556C22 = C2×C23.20D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).556C2^2128,1820
(C23×C4).557C22 = C2×C23.46D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).557C2^2128,1821
(C23×C4).558C22 = C2×C23.48D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).558C2^2128,1822
(C23×C4).559C22 = C24.115D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).559C2^2128,1823
(C23×C4).560C22 = C24.183D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).560C2^2128,1824
(C23×C4).561C22 = C24.116D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).561C2^2128,1825
(C23×C4).562C22 = C24.117D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).562C2^2128,1826
(C23×C4).563C22 = C24.118D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).563C2^2128,1827
(C23×C4).564C22 = C233D8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).564C2^2128,1918
(C23×C4).565C22 = C234SD16φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).565C2^2128,1919
(C23×C4).566C22 = C24.121D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).566C2^2128,1920
(C23×C4).567C22 = C233Q16φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).567C2^2128,1921
(C23×C4).568C22 = C24.123D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).568C2^2128,1922
(C23×C4).569C22 = C24.124D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).569C2^2128,1923
(C23×C4).570C22 = C24.125D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).570C2^2128,1924
(C23×C4).571C22 = C24.126D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).571C2^2128,1925
(C23×C4).572C22 = C24.127D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).572C2^2128,1926
(C23×C4).573C22 = C24.128D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).573C2^2128,1927
(C23×C4).574C22 = C24.129D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).574C2^2128,1928
(C23×C4).575C22 = C24.130D4φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).575C2^2128,1929
(C23×C4).576C22 = C2×C23.32C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).576C2^2128,2158
(C23×C4).577C22 = C22.14C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).577C2^2128,2160
(C23×C4).578C22 = C22×C22⋊Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).578C2^2128,2165
(C23×C4).579C22 = C22×C42.C2φ: C22/C1C22 ⊆ Aut C23×C4128(C2^3xC4).579C2^2128,2169
(C23×C4).580C22 = C2×C23.36C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).580C2^2128,2171
(C23×C4).581C22 = C2×C22.26C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).581C2^2128,2174
(C23×C4).582C22 = C2×C23.38C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).582C2^2128,2179
(C23×C4).583C22 = C2×C22.31C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).583C2^2128,2180
(C23×C4).584C22 = C2×C22.33C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).584C2^2128,2183
(C23×C4).585C22 = C2×C22.34C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).585C2^2128,2184
(C23×C4).586C22 = C2×C22.35C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).586C2^2128,2185
(C23×C4).587C22 = C2×C22.36C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).587C2^2128,2186
(C23×C4).588C22 = C22.44C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).588C2^2128,2187
(C23×C4).589C22 = C2×C232Q8φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).589C2^2128,2188
(C23×C4).590C22 = C2×C23.41C23φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).590C2^2128,2189
(C23×C4).591C22 = C22.47C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).591C2^2128,2190
(C23×C4).592C22 = C22.49C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).592C2^2128,2192
(C23×C4).593C22 = C2×D46D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).593C2^2128,2196
(C23×C4).594C22 = C2×Q85D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).594C2^2128,2197
(C23×C4).595C22 = C2×D4×Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).595C2^2128,2198
(C23×C4).596C22 = C2×Q86D4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).596C2^2128,2199
(C23×C4).597C22 = C2×C22.46C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).597C2^2128,2202
(C23×C4).598C22 = C2×C22.47C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).598C2^2128,2203
(C23×C4).599C22 = C2×D43Q8φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).599C2^2128,2204
(C23×C4).600C22 = C2×C22.49C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).600C2^2128,2205
(C23×C4).601C22 = C2×C22.50C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).601C2^2128,2206
(C23×C4).602C22 = C22.64C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).602C2^2128,2207
(C23×C4).603C22 = C22.75C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).603C2^2128,2218
(C23×C4).604C22 = C22.76C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).604C2^2128,2219
(C23×C4).605C22 = C22.78C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).605C2^2128,2221
(C23×C4).606C22 = C22.80C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).606C2^2128,2223
(C23×C4).607C22 = C22.81C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).607C2^2128,2224
(C23×C4).608C22 = C22.82C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).608C2^2128,2225
(C23×C4).609C22 = C22.83C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).609C2^2128,2226
(C23×C4).610C22 = C22.84C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).610C2^2128,2227
(C23×C4).611C22 = C22.90C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).611C2^2128,2233
(C23×C4).612C22 = C22.95C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).612C2^2128,2238
(C23×C4).613C22 = C23.144C24φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).613C2^2128,2252
(C23×C4).614C22 = C2×C22.56C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).614C2^2128,2259
(C23×C4).615C22 = C2×C22.57C24φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).615C2^2128,2260
(C23×C4).616C22 = C22.124C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).616C2^2128,2267
(C23×C4).617C22 = C22.125C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).617C2^2128,2268
(C23×C4).618C22 = C22.127C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).618C2^2128,2270
(C23×C4).619C22 = C22.128C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).619C2^2128,2271
(C23×C4).620C22 = C22.130C25φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).620C2^2128,2273
(C23×C4).621C22 = C2×Q8○M4(2)φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).621C2^2128,2304
(C23×C4).622C22 = C22×C8⋊C22φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).622C2^2128,2310
(C23×C4).623C22 = C22×C8.C22φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).623C2^2128,2311
(C23×C4).624C22 = C2×D8⋊C22φ: C22/C1C22 ⊆ Aut C23×C432(C2^3xC4).624C2^2128,2312
(C23×C4).625C22 = C22×2- 1+4φ: C22/C1C22 ⊆ Aut C23×C464(C2^3xC4).625C2^2128,2324
(C23×C4).626C22 = C24.626C23φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).626C2^2128,168
(C23×C4).627C22 = C232C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).627C2^2128,169
(C23×C4).628C22 = C4×C22⋊C8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).628C2^2128,480
(C23×C4).629C22 = C42.378D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).629C2^2128,481
(C23×C4).630C22 = C8×C22⋊C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).630C2^2128,483
(C23×C4).631C22 = C23.36C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).631C2^2128,484
(C23×C4).632C22 = C243C8φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).632C2^2128,511
(C23×C4).633C22 = C42.425D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).633C2^2128,529
(C23×C4).634C22 = C23.32M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).634C2^2128,549
(C23×C4).635C22 = C23.21M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).635C2^2128,582
(C23×C4).636C22 = C22×C2.C42φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).636C2^2128,998
(C23×C4).637C22 = C2×C424C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).637C2^2128,999
(C23×C4).638C22 = C2×C4×C22⋊C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).638C2^2128,1000
(C23×C4).639C22 = C2×C4×C4⋊C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).639C2^2128,1001
(C23×C4).640C22 = C4×C42⋊C2φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).640C2^2128,1002
(C23×C4).641C22 = D4×C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).641C2^2128,1003
(C23×C4).642C22 = C2×C23.34D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).642C2^2128,1011
(C23×C4).643C22 = C25.85C22φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).643C2^2128,1012
(C23×C4).644C22 = C2×C425C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).644C2^2128,1014
(C23×C4).645C22 = C23.165C24φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).645C2^2128,1015
(C23×C4).646C22 = C4242D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).646C2^2128,1022
(C23×C4).647C22 = C23.178C24φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).647C2^2128,1028
(C23×C4).648C22 = C4×C22.D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).648C2^2128,1033
(C23×C4).649C22 = C24.166D4φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).649C2^2128,1581
(C23×C4).650C22 = C4246D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).650C2^2128,1582
(C23×C4).651C22 = C42.439D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).651C2^2128,1583
(C23×C4).652C22 = C4243D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).652C2^2128,1584
(C23×C4).653C22 = C23.753C24φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).653C2^2128,1585
(C23×C4).654C22 = C24.598C23φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).654C2^2128,1586
(C23×C4).655C22 = C24.599C23φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).655C2^2128,1587
(C23×C4).656C22 = C22×C22⋊C8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).656C2^2128,1608
(C23×C4).657C22 = C2×C42.12C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).657C2^2128,1649
(C23×C4).658C22 = C2×C42.6C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).658C2^2128,1650
(C23×C4).659C22 = D4×C2×C8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).659C2^2128,1658
(C23×C4).660C22 = C23×C4⋊C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).660C2^2128,2152
(C23×C4).661C22 = C2×C4×C4○D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).661C2^2128,2156
(C23×C4).662C22 = C22×C4.4D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).662C2^2128,2168
(C23×C4).663C22 = C22×C422C2φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).663C2^2128,2170
(C23×C4).664C22 = C23.28C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).664C2^2128,460
(C23×C4).665C22 = C23.29C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).665C2^2128,461
(C23×C4).666C22 = C2×C426C4φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).666C2^2128,464
(C23×C4).667C22 = C2×C22.4Q16φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).667C2^2128,466
(C23×C4).668C22 = C24.132D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).668C2^2128,467
(C23×C4).669C22 = C2×C4.C42φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).669C2^2128,469
(C23×C4).670C22 = C24.133D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).670C2^2128,539
(C23×C4).671C22 = C23.22D8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).671C2^2128,540
(C23×C4).672C22 = C24.19Q8φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).672C2^2128,542
(C23×C4).673C22 = C24.135D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).673C2^2128,624
(C23×C4).674C22 = C23.23D8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).674C2^2128,625
(C23×C4).675C22 = (C2×C4)≀C2φ: C22/C2C2 ⊆ Aut C23×C416(C2^3xC4).675C2^2128,628
(C23×C4).676C22 = C2×C23.7Q8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).676C2^2128,1010
(C23×C4).677C22 = C2×C429C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).677C2^2128,1016
(C23×C4).678C22 = C23.167C24φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).678C2^2128,1017
(C23×C4).679C22 = C4×C4⋊D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).679C2^2128,1032
(C23×C4).680C22 = C4×C22⋊Q8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).680C2^2128,1034
(C23×C4).681C22 = C2413D4φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).681C2^2128,1579
(C23×C4).682C22 = C248Q8φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).682C2^2128,1580
(C23×C4).683C22 = C4247D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).683C2^2128,1588
(C23×C4).684C22 = C42.440D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).684C2^2128,1589
(C23×C4).685C22 = C2×C4×M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).685C2^2128,1603
(C23×C4).686C22 = C2×C82M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).686C2^2128,1604
(C23×C4).687C22 = C2×C24.4C4φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).687C2^2128,1609
(C23×C4).688C22 = C22×D4⋊C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).688C2^2128,1622
(C23×C4).689C22 = C22×Q8⋊C4φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).689C2^2128,1623
(C23×C4).690C22 = C2×C23.24D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).690C2^2128,1624
(C23×C4).691C22 = C22×C4≀C2φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).691C2^2128,1631
(C23×C4).692C22 = C2×C4⋊M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).692C2^2128,1635
(C23×C4).693C22 = C2×C42.6C22φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).693C2^2128,1636
(C23×C4).694C22 = C22×C4.Q8φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).694C2^2128,1639
(C23×C4).695C22 = C22×C2.D8φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).695C2^2128,1640
(C23×C4).696C22 = C2×C23.25D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).696C2^2128,1641
(C23×C4).697C22 = C22×C8.C4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).697C2^2128,1646
(C23×C4).698C22 = C42.677C23φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).698C2^2128,1652
(C23×C4).699C22 = C42.264C23φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).699C2^2128,1661
(C23×C4).700C22 = C2×C88D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).700C2^2128,1779
(C23×C4).701C22 = C2×C87D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).701C2^2128,1780
(C23×C4).702C22 = C2×C8.18D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).702C2^2128,1781
(C23×C4).703C22 = C24.144D4φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).703C2^2128,1782
(C23×C4).704C22 = C22×C42⋊C2φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).704C2^2128,2153
(C23×C4).705C22 = C22×C41D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).705C2^2128,2172
(C23×C4).706C22 = C22×C4⋊Q8φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).706C2^2128,2173
(C23×C4).707C22 = C2×C23.37C23φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).707C2^2128,2175
(C23×C4).708C22 = C22.33C25φ: C22/C2C2 ⊆ Aut C23×C432(C2^3xC4).708C2^2128,2176
(C23×C4).709C22 = C23×M4(2)φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).709C2^2128,2302
(C23×C4).710C22 = C22×C8○D4φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).710C2^2128,2303
(C23×C4).711C22 = C23×D8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).711C2^2128,2306
(C23×C4).712C22 = C23×SD16φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).712C2^2128,2307
(C23×C4).713C22 = C23×Q16φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).713C2^2128,2308
(C23×C4).714C22 = C22×C4○D8φ: C22/C2C2 ⊆ Aut C23×C464(C2^3xC4).714C2^2128,2309
(C23×C4).715C22 = Q8×C24φ: C22/C2C2 ⊆ Aut C23×C4128(C2^3xC4).715C2^2128,2321
(C23×C4).716C22 = C4×C2.C42central extension (φ=1)128(C2^3xC4).716C2^2128,164
(C23×C4).717C22 = C2×C22.7C42central extension (φ=1)128(C2^3xC4).717C2^2128,459
(C23×C4).718C22 = C22×C8⋊C4central extension (φ=1)128(C2^3xC4).718C2^2128,1602
(C23×C4).719C22 = C22×C4⋊C8central extension (φ=1)128(C2^3xC4).719C2^2128,1634
(C23×C4).720C22 = Q8×C22×C4central extension (φ=1)128(C2^3xC4).720C2^2128,2155

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