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Extensions 1→N→G→Q→1 with N=C4×D4 and Q=C22

Direct product G=N×Q with N=C4×D4 and Q=C22
dρLabelID
D4×C22×C464D4xC2^2xC4128,2154

Semidirect products G=N:Q with N=C4×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1C22 = C42.275C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):1C2^2128,1678
(C4×D4)⋊2C22 = C42.277C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):2C2^2128,1680
(C4×D4)⋊3C22 = C42.14C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):3C2^2128,1773
(C4×D4)⋊4C22 = C42.18C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):4C2^2128,1777
(C4×D4)⋊5C22 = C42.221D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):5C2^2128,1832
(C4×D4)⋊6C22 = C42.225D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):6C2^2128,1837
(C4×D4)⋊7C22 = C42.227D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):7C2^2128,1841
(C4×D4)⋊8C22 = C42.232D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):8C2^2128,1846
(C4×D4)⋊9C22 = C42.352C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):9C2^2128,1850
(C4×D4)⋊10C22 = C42.356C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):10C2^2128,1854
(C4×D4)⋊11C22 = C42.263D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):11C2^2128,1937
(C4×D4)⋊12C22 = C42.269D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):12C2^2128,1943
(C4×D4)⋊13C22 = C42.271D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):13C2^2128,1945
(C4×D4)⋊14C22 = C42.275D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):14C2^2128,1949
(C4×D4)⋊15C22 = C42.406C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):15C2^2128,1952
(C4×D4)⋊16C22 = C42.410C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):16C2^2128,1956
(C4×D4)⋊17C22 = D8⋊9D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):17C2^2128,1996
(C4×D4)⋊18C22 = D8⋊10D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):18C2^2128,1999
(C4×D4)⋊19C22 = D8⋊4D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):19C2^2128,2004
(C4×D4)⋊20C22 = D8⋊5D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):20C2^2128,2005
(C4×D4)⋊21C22 = D4×D8φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):21C2^2128,2011
(C4×D4)⋊22C22 = D8⋊12D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):22C2^2128,2012
(C4×D4)⋊23C22 = D4⋊4D8φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):23C2^2128,2026
(C4×D4)⋊24C22 = C42.462C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):24C2^2128,2029
(C4×D4)⋊25C22 = C42.41C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):25C2^2128,2038
(C4×D4)⋊26C22 = C42.53C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):26C2^2128,2050
(C4×D4)⋊27C22 = C42.54C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):27C2^2128,2051
(C4×D4)⋊28C22 = C42.471C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):28C2^2128,2054
(C4×D4)⋊29C22 = C42.474C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):29C2^2128,2057
(C4×D4)⋊30C22 = C22.38C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):30C2^2128,2181
(C4×D4)⋊31C22 = C22.64C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):31C2^2128,2207
(C4×D4)⋊32C22 = C22.73C25φ: C22/C1 → C22 ⊆ Out C4×D416(C4xD4):32C2^2128,2216
(C4×D4)⋊33C22 = C22.74C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):33C2^2128,2217
(C4×D4)⋊34C22 = C22.76C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):34C2^2128,2219
(C4×D4)⋊35C22 = C22.77C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):35C2^2128,2220
(C4×D4)⋊36C22 = C22.78C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):36C2^2128,2221
(C4×D4)⋊37C22 = C22.79C25φ: C22/C1 → C22 ⊆ Out C4×D416(C4xD4):37C2^2128,2222
(C4×D4)⋊38C22 = C22.80C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):38C2^2128,2223
(C4×D4)⋊39C22 = C22.81C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):39C2^2128,2224
(C4×D4)⋊40C22 = C22.82C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):40C2^2128,2225
(C4×D4)⋊41C22 = C22.83C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):41C2^2128,2226
(C4×D4)⋊42C22 = C22.84C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):42C2^2128,2227
(C4×D4)⋊43C22 = C4⋊2+ 1+4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):43C2^2128,2228
(C4×D4)⋊44C22 = C22.87C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):44C2^2128,2230
(C4×D4)⋊45C22 = C22.89C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):45C2^2128,2232
(C4×D4)⋊46C22 = C22.94C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):46C2^2128,2237
(C4×D4)⋊47C22 = C22.95C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):47C2^2128,2238
(C4×D4)⋊48C22 = C22.97C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):48C2^2128,2240
(C4×D4)⋊49C22 = C22.99C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):49C2^2128,2242
(C4×D4)⋊50C22 = C22.102C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):50C2^2128,2245
(C4×D4)⋊51C22 = C22.103C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):51C2^2128,2246
(C4×D4)⋊52C22 = C22.108C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):52C2^2128,2251
(C4×D4)⋊53C22 = C23.144C24φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):53C2^2128,2252
(C4×D4)⋊54C22 = C22.110C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):54C2^2128,2253
(C4×D4)⋊55C22 = C22.118C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):55C2^2128,2261
(C4×D4)⋊56C22 = C42⋊C23φ: C22/C1 → C22 ⊆ Out C4×D416(C4xD4):56C2^2128,2264
(C4×D4)⋊57C22 = C22.122C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):57C2^2128,2265
(C4×D4)⋊58C22 = C22.123C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):58C2^2128,2266
(C4×D4)⋊59C22 = C22.124C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):59C2^2128,2267
(C4×D4)⋊60C22 = C22.125C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):60C2^2128,2268
(C4×D4)⋊61C22 = C22.126C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):61C2^2128,2269
(C4×D4)⋊62C22 = C22.128C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):62C2^2128,2271
(C4×D4)⋊63C22 = C22.129C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):63C2^2128,2272
(C4×D4)⋊64C22 = C22.130C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):64C2^2128,2273
(C4×D4)⋊65C22 = C22.131C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):65C2^2128,2274
(C4×D4)⋊66C22 = C22.132C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):66C2^2128,2275
(C4×D4)⋊67C22 = C22.134C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):67C2^2128,2277
(C4×D4)⋊68C22 = C22.135C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):68C2^2128,2278
(C4×D4)⋊69C22 = C22.138C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):69C2^2128,2281
(C4×D4)⋊70C22 = C22.140C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):70C2^2128,2283
(C4×D4)⋊71C22 = C22.147C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):71C2^2128,2290
(C4×D4)⋊72C22 = C22.149C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):72C2^2128,2292
(C4×D4)⋊73C22 = C22.150C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):73C2^2128,2293
(C4×D4)⋊74C22 = C22.151C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):74C2^2128,2294
(C4×D4)⋊75C22 = C22.153C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):75C2^2128,2296
(C4×D4)⋊76C22 = C22.155C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):76C2^2128,2298
(C4×D4)⋊77C22 = C22.157C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4):77C2^2128,2300
(C4×D4)⋊78C22 = C2×C4×D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):78C2^2128,1668
(C4×D4)⋊79C22 = C2×D8⋊C4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):79C2^2128,1674
(C4×D4)⋊80C22 = C4×C8⋊C22φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):80C2^2128,1676
(C4×D4)⋊81C22 = C2×C4⋊D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):81C2^2128,1761
(C4×D4)⋊82C22 = C2×D4.2D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):82C2^2128,1763
(C4×D4)⋊83C22 = C42.444D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):83C2^2128,1770
(C4×D4)⋊84C22 = C42.446D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):84C2^2128,1772
(C4×D4)⋊85C22 = C2×C22.11C24φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):85C2^2128,2157
(C4×D4)⋊86C22 = C2×C23.33C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):86C2^2128,2159
(C4×D4)⋊87C22 = C22.14C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):87C2^2128,2160
(C4×D4)⋊88C22 = C4×2+ 1+4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):88C2^2128,2161
(C4×D4)⋊89C22 = C2×C22.19C24φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):89C2^2128,2167
(C4×D4)⋊90C22 = C2×C23.36C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):90C2^2128,2171
(C4×D4)⋊91C22 = C2×C22.26C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):91C2^2128,2174
(C4×D4)⋊92C22 = C22.33C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):92C2^2128,2176
(C4×D4)⋊93C22 = C2×C22.32C24φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):93C2^2128,2182
(C4×D4)⋊94C22 = C2×C22.33C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):94C2^2128,2183
(C4×D4)⋊95C22 = C2×C22.34C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):95C2^2128,2184
(C4×D4)⋊96C22 = C2×C22.36C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):96C2^2128,2186
(C4×D4)⋊97C22 = C22.44C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):97C2^2128,2187
(C4×D4)⋊98C22 = C22.48C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):98C2^2128,2191
(C4×D4)⋊99C22 = C22.49C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):99C2^2128,2192
(C4×D4)⋊100C22 = C2×D42φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):100C2^2128,2194
(C4×D4)⋊101C22 = C2×D4⋊5D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):101C2^2128,2195
(C4×D4)⋊102C22 = C2×D4⋊6D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):102C2^2128,2196
(C4×D4)⋊103C22 = C2×Q8⋊5D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):103C2^2128,2197
(C4×D4)⋊104C22 = C2×Q8⋊6D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):104C2^2128,2199
(C4×D4)⋊105C22 = D4×C4○D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):105C2^2128,2200
(C4×D4)⋊106C22 = C2×C22.45C24φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):106C2^2128,2201
(C4×D4)⋊107C22 = C2×C22.47C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):107C2^2128,2203
(C4×D4)⋊108C22 = C2×C22.49C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):108C2^2128,2205
(C4×D4)⋊109C22 = C2×C22.53C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4):109C2^2128,2211
(C4×D4)⋊110C22 = C22.70C25φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4):110C2^2128,2213
(C4×D4)⋊111C22 = C2×C4×C4○D4φ: trivial image64(C4xD4):111C2^2128,2156

Non-split extensions G=N.Q with N=C4×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D4).1C22 = C42.45D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).1C2^2128,212
(C4×D4).2C22 = C42.373D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).2C2^2128,214
(C4×D4).3C22 = C42.47D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).3C2^2128,215
(C4×D4).4C22 = C42.400D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).4C2^2128,216
(C4×D4).5C22 = C42.315D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).5C2^2128,224
(C4×D4).6C22 = C42.305D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).6C2^2128,226
(C4×D4).7C22 = C42.52D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).7C2^2128,227
(C4×D4).8C22 = C42.53D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).8C2^2128,228
(C4×D4).9C22 = C8⋊9D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).9C2^2128,313
(C4×D4).10C22 = C8⋊15SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).10C2^2128,315
(C4×D4).11C22 = D4⋊2M4(2)φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).11C2^2128,318
(C4×D4).12C22 = Q8⋊2M4(2)φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).12C2^2128,320
(C4×D4).13C22 = C8⋊6D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).13C2^2128,321
(C4×D4).14C22 = C8⋊9SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).14C2^2128,322
(C4×D4).15C22 = C8⋊M4(2)φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).15C2^2128,324
(C4×D4).16C22 = C8⋊3M4(2)φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).16C2^2128,326
(C4×D4).17C22 = D4⋊D8φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).17C2^2128,351
(C4×D4).18C22 = Q8⋊D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).18C2^2128,353
(C4×D4).19C22 = D4⋊SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).19C2^2128,354
(C4×D4).20C22 = C42.185C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).20C2^2128,356
(C4×D4).21C22 = D4⋊3D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).21C2^2128,357
(C4×D4).22C22 = Q8⋊3D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).22C2^2128,359
(C4×D4).23C22 = C42.189C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).23C2^2128,360
(C4×D4).24C22 = D4⋊2SD16φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).24C2^2128,361
(C4×D4).25C22 = Q8⋊2SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).25C2^2128,363
(C4×D4).26C22 = D4⋊Q16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).26C2^2128,364
(C4×D4).27C22 = C42.195C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).27C2^2128,366
(C4×D4).28C22 = D4.SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).28C2^2128,367
(C4×D4).29C22 = D4.3Q16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).29C2^2128,369
(C4×D4).30C22 = C42.199C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).30C2^2128,370
(C4×D4).31C22 = D4.D8φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).31C2^2128,371
(C4×D4).32C22 = Q8.D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).32C2^2128,373
(C4×D4).33C22 = Q8⋊3SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).33C2^2128,374
(C4×D4).34C22 = D4.5SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).34C2^2128,375
(C4×D4).35C22 = D4⋊3Q16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).35C2^2128,376
(C4×D4).36C22 = C42.207C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).36C2^2128,378
(C4×D4).37C22 = D4.7D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).37C2^2128,379
(C4×D4).38C22 = D4⋊4Q16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).38C2^2128,381
(C4×D4).39C22 = C42.211C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).39C2^2128,382
(C4×D4).40C22 = Q8⋊4SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).40C2^2128,383
(C4×D4).41C22 = C42.213C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).41C2^2128,384
(C4×D4).42C22 = D4⋊4SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).42C2^2128,386
(C4×D4).43C22 = C8⋊D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).43C2^2128,417
(C4×D4).44C22 = C8⋊2D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).44C2^2128,419
(C4×D4).45C22 = C8.D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).45C2^2128,421
(C4×D4).46C22 = C8⋊3SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).46C2^2128,423
(C4×D4).47C22 = C8⋊4SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).47C2^2128,425
(C4×D4).48C22 = C8.8SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).48C2^2128,427
(C4×D4).49C22 = C42.248C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).49C2^2128,429
(C4×D4).50C22 = C42.250C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).50C2^2128,431
(C4×D4).51C22 = C42.252C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).51C2^2128,433
(C4×D4).52C22 = C42.254C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).52C2^2128,435
(C4×D4).53C22 = C42.265C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).53C2^2128,1662
(C4×D4).54C22 = C42.266C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).54C2^2128,1664
(C4×D4).55C22 = M4(2)⋊22D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).55C2^2128,1665
(C4×D4).56C22 = M4(2)⋊23D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).56C2^2128,1667
(C4×D4).57C22 = C42.276C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).57C2^2128,1679
(C4×D4).58C22 = C42.278C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).58C2^2128,1681
(C4×D4).59C22 = C42.280C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).59C2^2128,1683
(C4×D4).60C22 = C42.281C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).60C2^2128,1684
(C4×D4).61C22 = C42.292C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).61C2^2128,1699
(C4×D4).62C22 = C42.293C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).62C2^2128,1700
(C4×D4).63C22 = C42.299C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).63C2^2128,1710
(C4×D4).64C22 = C42.300C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).64C2^2128,1712
(C4×D4).65C22 = C42.308C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).65C2^2128,1725
(C4×D4).66C22 = C42.310C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).66C2^2128,1727
(C4×D4).67C22 = C42.15C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).67C2^2128,1774
(C4×D4).68C22 = C42.19C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).68C2^2128,1778
(C4×D4).69C22 = C42.20C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).69C2^2128,1813
(C4×D4).70C22 = C42.22C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).70C2^2128,1815
(C4×D4).71C22 = C42.23C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).71C2^2128,1816
(C4×D4).72C22 = C42.384D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).72C2^2128,1834
(C4×D4).73C22 = C42.223D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).73C2^2128,1835
(C4×D4).74C22 = C42.450D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).74C2^2128,1838
(C4×D4).75C22 = C42.226D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).75C2^2128,1840
(C4×D4).76C22 = C42.229D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).76C2^2128,1843
(C4×D4).77C22 = C42.230D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).77C2^2128,1844
(C4×D4).78C22 = C42.233D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).78C2^2128,1847
(C4×D4).79C22 = C42.235D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).79C2^2128,1849
(C4×D4).80C22 = C42.353C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).80C2^2128,1851
(C4×D4).81C22 = C42.354C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).81C2^2128,1852
(C4×D4).82C22 = C42.355C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).82C2^2128,1853
(C4×D4).83C22 = C42.357C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).83C2^2128,1855
(C4×D4).84C22 = C42.358C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).84C2^2128,1856
(C4×D4).85C22 = C42.359C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).85C2^2128,1857
(C4×D4).86C22 = C42.360C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).86C2^2128,1858
(C4×D4).87C22 = C42.365D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).87C2^2128,1899
(C4×D4).88C22 = C42.308D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).88C2^2128,1900
(C4×D4).89C22 = C42.366D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).89C2^2128,1901
(C4×D4).90C22 = C42.255D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).90C2^2128,1903
(C4×D4).91C22 = C42.256D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).91C2^2128,1904
(C4×D4).92C22 = C42.385C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).92C2^2128,1905
(C4×D4).93C22 = C42.386C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).93C2^2128,1906
(C4×D4).94C22 = C42.387C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).94C2^2128,1907
(C4×D4).95C22 = C42.388C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).95C2^2128,1908
(C4×D4).96C22 = C42.390C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).96C2^2128,1910
(C4×D4).97C22 = C42.391C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).97C2^2128,1911
(C4×D4).98C22 = C42.257D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).98C2^2128,1912
(C4×D4).99C22 = C42.258D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).99C2^2128,1913
(C4×D4).100C22 = C42.259D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).100C2^2128,1914
(C4×D4).101C22 = C42.260D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).101C2^2128,1915
(C4×D4).102C22 = C42.261D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).102C2^2128,1916
(C4×D4).103C22 = C42.264D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).103C2^2128,1938
(C4×D4).104C22 = C42.265D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).104C2^2128,1939
(C4×D4).105C22 = C42.270D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).105C2^2128,1944
(C4×D4).106C22 = C42.272D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).106C2^2128,1946
(C4×D4).107C22 = C42.276D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).107C2^2128,1950
(C4×D4).108C22 = C42.277D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).108C2^2128,1951
(C4×D4).109C22 = C42.407C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).109C2^2128,1953
(C4×D4).110C22 = C42.411C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).110C2^2128,1957
(C4×D4).111C22 = C42.278D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).111C2^2128,1958
(C4×D4).112C22 = C42.279D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).112C2^2128,1959
(C4×D4).113C22 = C42.280D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).113C2^2128,1960
(C4×D4).114C22 = C42.284D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).114C2^2128,1964
(C4×D4).115C22 = C42.285D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).115C2^2128,1965
(C4×D4).116C22 = C42.286D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).116C2^2128,1966
(C4×D4).117C22 = C42.287D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).117C2^2128,1967
(C4×D4).118C22 = C42.290D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).118C2^2128,1970
(C4×D4).119C22 = C42.291D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).119C2^2128,1971
(C4×D4).120C22 = C42.292D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).120C2^2128,1972
(C4×D4).121C22 = C42.423C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).121C2^2128,1973
(C4×D4).122C22 = C42.425C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).122C2^2128,1975
(C4×D4).123C22 = C42.426C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).123C2^2128,1976
(C4×D4).124C22 = C42.293D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).124C2^2128,1977
(C4×D4).125C22 = C42.294D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).125C2^2128,1978
(C4×D4).126C22 = C42.295D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).126C2^2128,1979
(C4×D4).127C22 = C42.296D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).127C2^2128,1980
(C4×D4).128C22 = C42.298D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).128C2^2128,1982
(C4×D4).129C22 = C42.299D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).129C2^2128,1983
(C4×D4).130C22 = C42.300D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).130C2^2128,1984
(C4×D4).131C22 = C42.301D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).131C2^2128,1985
(C4×D4).132C22 = C42.302D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).132C2^2128,1986
(C4×D4).133C22 = C42.304D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).133C2^2128,1988
(C4×D4).134C22 = C4.2- 1+4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).134C2^2128,1989
(C4×D4).135C22 = C42.25C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).135C2^2128,1990
(C4×D4).136C22 = C42.26C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).136C2^2128,1991
(C4×D4).137C22 = C42.27C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).137C2^2128,1992
(C4×D4).138C22 = C42.29C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).138C2^2128,1994
(C4×D4).139C22 = C42.30C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).139C2^2128,1995
(C4×D4).140C22 = SD16⋊D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).140C2^2128,1997
(C4×D4).141C22 = SD16⋊6D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).141C2^2128,1998
(C4×D4).142C22 = SD16⋊7D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).142C2^2128,2000
(C4×D4).143C22 = SD16⋊8D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).143C2^2128,2001
(C4×D4).144C22 = Q16⋊9D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).144C2^2128,2002
(C4×D4).145C22 = Q16⋊10D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).145C2^2128,2003
(C4×D4).146C22 = SD16⋊1D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).146C2^2128,2006
(C4×D4).147C22 = SD16⋊2D4φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).147C2^2128,2007
(C4×D4).148C22 = SD16⋊3D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).148C2^2128,2008
(C4×D4).149C22 = Q16⋊4D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).149C2^2128,2009
(C4×D4).150C22 = Q16⋊5D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).150C2^2128,2010
(C4×D4).151C22 = D8⋊13D4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).151C2^2128,2015
(C4×D4).152C22 = C42.42C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).152C2^2128,2039
(C4×D4).153C22 = C42.43C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).153C2^2128,2040
(C4×D4).154C22 = C42.44C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).154C2^2128,2041
(C4×D4).155C22 = C42.45C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).155C2^2128,2042
(C4×D4).156C22 = C42.46C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).156C2^2128,2043
(C4×D4).157C22 = C42.47C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).157C2^2128,2044
(C4×D4).158C22 = C42.48C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).158C2^2128,2045
(C4×D4).159C22 = C42.49C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).159C2^2128,2046
(C4×D4).160C22 = C42.50C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).160C2^2128,2047
(C4×D4).161C22 = C42.51C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).161C2^2128,2048
(C4×D4).162C22 = C42.52C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).162C2^2128,2049
(C4×D4).163C22 = C42.55C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).163C2^2128,2052
(C4×D4).164C22 = C42.56C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).164C2^2128,2053
(C4×D4).165C22 = C42.472C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).165C2^2128,2055
(C4×D4).166C22 = C42.473C23φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).166C2^2128,2056
(C4×D4).167C22 = C42.475C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).167C2^2128,2058
(C4×D4).168C22 = C42.476C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).168C2^2128,2059
(C4×D4).169C22 = C42.477C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).169C2^2128,2060
(C4×D4).170C22 = C42.478C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).170C2^2128,2061
(C4×D4).171C22 = C42.479C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).171C2^2128,2062
(C4×D4).172C22 = C42.480C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).172C2^2128,2063
(C4×D4).173C22 = C42.481C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).173C2^2128,2064
(C4×D4).174C22 = C42.482C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).174C2^2128,2065
(C4×D4).175C22 = C42.57C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).175C2^2128,2075
(C4×D4).176C22 = C42.58C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).176C2^2128,2076
(C4×D4).177C22 = C42.59C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).177C2^2128,2077
(C4×D4).178C22 = C42.60C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).178C2^2128,2078
(C4×D4).179C22 = C42.61C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).179C2^2128,2079
(C4×D4).180C22 = C42.62C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).180C2^2128,2080
(C4×D4).181C22 = C42.63C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).181C2^2128,2081
(C4×D4).182C22 = C42.64C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).182C2^2128,2082
(C4×D4).183C22 = C42.492C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).183C2^2128,2083
(C4×D4).184C22 = C42.493C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).184C2^2128,2084
(C4×D4).185C22 = C42.494C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).185C2^2128,2085
(C4×D4).186C22 = C42.495C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).186C2^2128,2086
(C4×D4).187C22 = C42.496C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).187C2^2128,2087
(C4×D4).188C22 = C42.497C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).188C2^2128,2088
(C4×D4).189C22 = C42.498C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).189C2^2128,2089
(C4×D4).190C22 = Q8⋊4D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).190C2^2128,2090
(C4×D4).191C22 = Q8⋊7SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).191C2^2128,2091
(C4×D4).192C22 = C42.501C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).192C2^2128,2092
(C4×D4).193C22 = C42.502C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).193C2^2128,2093
(C4×D4).194C22 = Q8⋊8SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).194C2^2128,2094
(C4×D4).195C22 = C42.505C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).195C2^2128,2096
(C4×D4).196C22 = C42.506C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).196C2^2128,2097
(C4×D4).197C22 = C42.507C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).197C2^2128,2098
(C4×D4).198C22 = C42.508C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).198C2^2128,2099
(C4×D4).199C22 = C42.509C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).199C2^2128,2100
(C4×D4).200C22 = C42.510C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).200C2^2128,2101
(C4×D4).201C22 = C42.511C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).201C2^2128,2102
(C4×D4).202C22 = C42.512C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).202C2^2128,2103
(C4×D4).203C22 = C42.513C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).203C2^2128,2104
(C4×D4).204C22 = C42.514C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).204C2^2128,2105
(C4×D4).205C22 = C42.516C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).205C2^2128,2107
(C4×D4).206C22 = C42.517C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).206C2^2128,2108
(C4×D4).207C22 = C42.518C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).207C2^2128,2109
(C4×D4).208C22 = Q8×D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).208C2^2128,2110
(C4×D4).209C22 = Q8×SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).209C2^2128,2111
(C4×D4).210C22 = D8⋊6Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).210C2^2128,2112
(C4×D4).211C22 = SD16⋊4Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).211C2^2128,2113
(C4×D4).212C22 = D8⋊4Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).212C2^2128,2116
(C4×D4).213C22 = SD16⋊Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).213C2^2128,2117
(C4×D4).214C22 = SD16⋊2Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).214C2^2128,2118
(C4×D4).215C22 = SD16⋊3Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).215C2^2128,2120
(C4×D4).216C22 = D8⋊5Q8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).216C2^2128,2121
(C4×D4).217C22 = Q8⋊5D8φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).217C2^2128,2123
(C4×D4).218C22 = Q8⋊9SD16φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).218C2^2128,2124
(C4×D4).219C22 = C42.527C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).219C2^2128,2125
(C4×D4).220C22 = C42.528C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).220C2^2128,2126
(C4×D4).221C22 = C42.530C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).221C2^2128,2128
(C4×D4).222C22 = C42.72C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).222C2^2128,2129
(C4×D4).223C22 = C42.73C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).223C2^2128,2130
(C4×D4).224C22 = C42.74C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).224C2^2128,2131
(C4×D4).225C22 = C42.75C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).225C2^2128,2132
(C4×D4).226C22 = C42.531C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).226C2^2128,2133
(C4×D4).227C22 = C42.532C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).227C2^2128,2134
(C4×D4).228C22 = C42.533C23φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).228C2^2128,2135
(C4×D4).229C22 = C22.75C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).229C2^2128,2218
(C4×D4).230C22 = C4⋊2- 1+4φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).230C2^2128,2229
(C4×D4).231C22 = C22.88C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).231C2^2128,2231
(C4×D4).232C22 = C22.90C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).232C2^2128,2233
(C4×D4).233C22 = C22.92C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).233C2^2128,2235
(C4×D4).234C22 = C22.93C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).234C2^2128,2236
(C4×D4).235C22 = C22.96C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).235C2^2128,2239
(C4×D4).236C22 = C22.100C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).236C2^2128,2243
(C4×D4).237C22 = C22.101C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).237C2^2128,2244
(C4×D4).238C22 = C22.104C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).238C2^2128,2247
(C4×D4).239C22 = C22.105C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).239C2^2128,2248
(C4×D4).240C22 = C22.106C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).240C2^2128,2249
(C4×D4).241C22 = C22.107C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).241C2^2128,2250
(C4×D4).242C22 = C22.111C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).242C2^2128,2254
(C4×D4).243C22 = C23.146C24φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).243C2^2128,2255
(C4×D4).244C22 = C22.113C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).244C2^2128,2256
(C4×D4).245C22 = C22.120C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).245C2^2128,2263
(C4×D4).246C22 = C22.127C25φ: C22/C1 → C22 ⊆ Out C4×D432(C4xD4).246C2^2128,2270
(C4×D4).247C22 = C22.133C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).247C2^2128,2276
(C4×D4).248C22 = C22.136C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).248C2^2128,2279
(C4×D4).249C22 = C22.137C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).249C2^2128,2280
(C4×D4).250C22 = C22.139C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).250C2^2128,2282
(C4×D4).251C22 = C22.141C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).251C2^2128,2284
(C4×D4).252C22 = C22.142C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).252C2^2128,2285
(C4×D4).253C22 = C22.143C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).253C2^2128,2286
(C4×D4).254C22 = C22.144C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).254C2^2128,2287
(C4×D4).255C22 = C22.146C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).255C2^2128,2289
(C4×D4).256C22 = C22.148C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).256C2^2128,2291
(C4×D4).257C22 = C22.152C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).257C2^2128,2295
(C4×D4).258C22 = C22.154C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).258C2^2128,2297
(C4×D4).259C22 = C22.156C25φ: C22/C1 → C22 ⊆ Out C4×D464(C4xD4).259C2^2128,2299
(C4×D4).260C22 = C2×D4⋊C8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).260C2^2128,206
(C4×D4).261C22 = C42.455D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).261C2^2128,208
(C4×D4).262C22 = C42.397D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).262C2^2128,209
(C4×D4).263C22 = C42.398D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).263C2^2128,210
(C4×D4).264C22 = D4⋊M4(2)φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).264C2^2128,218
(C4×D4).265C22 = C42.374D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).265C2^2128,220
(C4×D4).266C22 = D4⋊4M4(2)φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).266C2^2128,221
(C4×D4).267C22 = D4⋊5M4(2)φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).267C2^2128,222
(C4×D4).268C22 = C8×D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).268C2^2128,307
(C4×D4).269C22 = C8×SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).269C2^2128,308
(C4×D4).270C22 = SD16⋊C8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).270C2^2128,310
(C4×D4).271C22 = D8⋊5C8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).271C2^2128,312
(C4×D4).272C22 = C8⋊12SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).272C2^2128,314
(C4×D4).273C22 = D4.M4(2)φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).273C2^2128,317
(C4×D4).274C22 = C8⋊8D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).274C2^2128,397
(C4×D4).275C22 = C8⋊7D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).275C2^2128,399
(C4×D4).276C22 = C8.28D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).276C2^2128,401
(C4×D4).277C22 = C8⋊11SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).277C2^2128,403
(C4×D4).278C22 = C8⋊10SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).278C2^2128,405
(C4×D4).279C22 = D4.1Q16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).279C2^2128,407
(C4×D4).280C22 = D4.2SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).280C2^2128,409
(C4×D4).281C22 = D4.3SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).281C2^2128,411
(C4×D4).282C22 = D4.2D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).282C2^2128,413
(C4×D4).283C22 = D4.Q16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).283C2^2128,415
(C4×D4).284C22 = C2×C8⋊9D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).284C2^2128,1659
(C4×D4).285C22 = C2×C8⋊6D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).285C2^2128,1660
(C4×D4).286C22 = C42.264C23φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).286C2^2128,1661
(C4×D4).287C22 = C42.681C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).287C2^2128,1663
(C4×D4).288C22 = C2×C4×SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).288C2^2128,1669
(C4×D4).289C22 = C4×C4○D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).289C2^2128,1671
(C4×D4).290C22 = C2×SD16⋊C4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).290C2^2128,1672
(C4×D4).291C22 = C42.383D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).291C2^2128,1675
(C4×D4).292C22 = C4×C8.C22φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).292C2^2128,1677
(C4×D4).293C22 = C42.290C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).293C2^2128,1697
(C4×D4).294C22 = C42.291C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).294C2^2128,1698
(C4×D4).295C22 = C42.294C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).295C2^2128,1701
(C4×D4).296C22 = D4⋊6M4(2)φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).296C2^2128,1702
(C4×D4).297C22 = Q8⋊6M4(2)φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).297C2^2128,1703
(C4×D4).298C22 = C23⋊3M4(2)φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).298C2^2128,1705
(C4×D4).299C22 = C42.693C23φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).299C2^2128,1707
(C4×D4).300C22 = C42.297C23φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).300C2^2128,1708
(C4×D4).301C22 = C42.298C23φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).301C2^2128,1709
(C4×D4).302C22 = C42.694C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).302C2^2128,1711
(C4×D4).303C22 = C42.301C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).303C2^2128,1713
(C4×D4).304C22 = C42.698C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).304C2^2128,1721
(C4×D4).305C22 = Q8⋊7M4(2)φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).305C2^2128,1723
(C4×D4).306C22 = C42.307C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).306C2^2128,1724
(C4×D4).307C22 = C42.309C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).307C2^2128,1726
(C4×D4).308C22 = C2×D4.D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).308C2^2128,1762
(C4×D4).309C22 = C42.443D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).309C2^2128,1767
(C4×D4).310C22 = C42.211D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).310C2^2128,1768
(C4×D4).311C22 = C42.445D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).311C2^2128,1771
(C4×D4).312C22 = C2×D4⋊Q8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).312C2^2128,1802
(C4×D4).313C22 = C2×D4⋊2Q8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).313C2^2128,1803
(C4×D4).314C22 = C2×D4.Q8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).314C2^2128,1804
(C4×D4).315C22 = C42.447D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).315C2^2128,1808
(C4×D4).316C22 = C42.219D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).316C2^2128,1809
(C4×D4).317C22 = C42.448D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).317C2^2128,1811
(C4×D4).318C22 = C42.449D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).318C2^2128,1812
(C4×D4).319C22 = C42.222D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).319C2^2128,1833
(C4×D4).320C22 = C42.451D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).320C2^2128,1839
(C4×D4).321C22 = C42.228D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).321C2^2128,1842
(C4×D4).322C22 = C42.234D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).322C2^2128,1848
(C4×D4).323C22 = D4×SD16φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).323C2^2128,2013
(C4×D4).324C22 = SD16⋊10D4φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).324C2^2128,2014
(C4×D4).325C22 = SD16⋊11D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).325C2^2128,2016
(C4×D4).326C22 = Q16⋊12D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).326C2^2128,2017
(C4×D4).327C22 = D4×Q16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).327C2^2128,2018
(C4×D4).328C22 = Q16⋊13D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).328C2^2128,2019
(C4×D4).329C22 = D4⋊7SD16φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).329C2^2128,2027
(C4×D4).330C22 = C42.461C23φ: C22/C2 → C2 ⊆ Out C4×D432(C4xD4).330C2^2128,2028
(C4×D4).331C22 = D4⋊8SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).331C2^2128,2030
(C4×D4).332C22 = D4⋊5Q16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).332C2^2128,2031
(C4×D4).333C22 = C42.465C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).333C2^2128,2032
(C4×D4).334C22 = C42.466C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).334C2^2128,2033
(C4×D4).335C22 = C42.467C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).335C2^2128,2034
(C4×D4).336C22 = C42.468C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).336C2^2128,2035
(C4×D4).337C22 = C42.469C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).337C2^2128,2036
(C4×D4).338C22 = C42.470C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).338C2^2128,2037
(C4×D4).339C22 = D4⋊5D8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).339C2^2128,2066
(C4×D4).340C22 = D4⋊9SD16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).340C2^2128,2067
(C4×D4).341C22 = C42.485C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).341C2^2128,2068
(C4×D4).342C22 = C42.486C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).342C2^2128,2069
(C4×D4).343C22 = D4⋊6Q16φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).343C2^2128,2070
(C4×D4).344C22 = C42.488C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).344C2^2128,2071
(C4×D4).345C22 = C42.489C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).345C2^2128,2072
(C4×D4).346C22 = C42.490C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).346C2^2128,2073
(C4×D4).347C22 = C42.491C23φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).347C2^2128,2074
(C4×D4).348C22 = C4×2- 1+4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).348C2^2128,2162
(C4×D4).349C22 = C22.50C25φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).349C2^2128,2193
(C4×D4).350C22 = C2×D4×Q8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).350C2^2128,2198
(C4×D4).351C22 = C2×C22.46C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).351C2^2128,2202
(C4×D4).352C22 = C2×D4⋊3Q8φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).352C2^2128,2204
(C4×D4).353C22 = C2×C22.50C24φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).353C2^2128,2206
(C4×D4).354C22 = Q8×C4○D4φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).354C2^2128,2210
(C4×D4).355C22 = C22.69C25φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).355C2^2128,2212
(C4×D4).356C22 = C22.71C25φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).356C2^2128,2214
(C4×D4).357C22 = C22.72C25φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).357C2^2128,2215
(C4×D4).358C22 = C22.98C25φ: C22/C2 → C2 ⊆ Out C4×D464(C4xD4).358C2^2128,2241
(C4×D4).359C22 = D4×C2×C8φ: trivial image64(C4xD4).359C2^2128,1658
(C4×D4).360C22 = D4×M4(2)φ: trivial image32(C4xD4).360C2^2128,1666
(C4×D4).361C22 = C8×C4○D4φ: trivial image64(C4xD4).361C2^2128,1696
(C4×D4).362C22 = C42.691C23φ: trivial image32(C4xD4).362C2^2128,1704
(C4×D4).363C22 = D4⋊7M4(2)φ: trivial image32(C4xD4).363C2^2128,1706
(C4×D4).364C22 = C42.697C23φ: trivial image64(C4xD4).364C2^2128,1720
(C4×D4).365C22 = D4⋊8M4(2)φ: trivial image64(C4xD4).365C2^2128,1722

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