Extensions 1→N→G→Q→1 with N=C2×C3⋊D4 and Q=C22

Direct product G=N×Q with N=C2×C3⋊D4 and Q=C22
dρLabelID
C23×C3⋊D496C2^3xC3:D4192,1529

Semidirect products G=N:Q with N=C2×C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4)⋊1C22 = C24.38D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):1C2^2192,1049
(C2×C3⋊D4)⋊2C22 = D4×D12φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):2C2^2192,1108
(C2×C3⋊D4)⋊3C22 = D1223D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):3C2^2192,1109
(C2×C3⋊D4)⋊4C22 = D45D12φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):4C2^2192,1113
(C2×C3⋊D4)⋊5C22 = C4219D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):5C2^2192,1119
(C2×C3⋊D4)⋊6C22 = C24.67D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):6C2^2192,1145
(C2×C3⋊D4)⋊7C22 = S3×C22≀C2φ: C22/C1C22 ⊆ Out C2×C3⋊D424(C2xC3:D4):7C2^2192,1147
(C2×C3⋊D4)⋊8C22 = C24.44D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):8C2^2192,1150
(C2×C3⋊D4)⋊9C22 = C24.45D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):9C2^2192,1151
(C2×C3⋊D4)⋊10C22 = C24.46D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):10C2^2192,1152
(C2×C3⋊D4)⋊11C22 = C24.47D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):11C2^2192,1154
(C2×C3⋊D4)⋊12C22 = S3×C4⋊D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):12C2^2192,1163
(C2×C3⋊D4)⋊13C22 = C6.372+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):13C2^2192,1164
(C2×C3⋊D4)⋊14C22 = C6.382+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):14C2^2192,1166
(C2×C3⋊D4)⋊15C22 = D1219D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):15C2^2192,1168
(C2×C3⋊D4)⋊16C22 = C6.402+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):16C2^2192,1169
(C2×C3⋊D4)⋊17C22 = C6.482+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):17C2^2192,1179
(C2×C3⋊D4)⋊18C22 = C6.1202+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):18C2^2192,1212
(C2×C3⋊D4)⋊19C22 = C4⋊C428D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):19C2^2192,1215
(C2×C3⋊D4)⋊20C22 = C6.612+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):20C2^2192,1216
(C2×C3⋊D4)⋊21C22 = C6.682+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):21C2^2192,1225
(C2×C3⋊D4)⋊22C22 = C4220D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):22C2^2192,1233
(C2×C3⋊D4)⋊23C22 = D1210D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):23C2^2192,1235
(C2×C3⋊D4)⋊24C22 = C4222D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):24C2^2192,1237
(C2×C3⋊D4)⋊25C22 = S3×C41D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):25C2^2192,1273
(C2×C3⋊D4)⋊26C22 = C4228D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):26C2^2192,1274
(C2×C3⋊D4)⋊27C22 = D1211D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):27C2^2192,1276
(C2×C3⋊D4)⋊28C22 = C24.52D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):28C2^2192,1364
(C2×C3⋊D4)⋊29C22 = C24.53D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):29C2^2192,1365
(C2×C3⋊D4)⋊30C22 = C6.1452+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):30C2^2192,1388
(C2×C3⋊D4)⋊31C22 = C6.1462+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4):31C2^2192,1389
(C2×C3⋊D4)⋊32C22 = S3×2+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D4248+(C2xC3:D4):32C2^2192,1524
(C2×C3⋊D4)⋊33C22 = D6.C24φ: C22/C1C22 ⊆ Out C2×C3⋊D4488-(C2xC3:D4):33C2^2192,1525
(C2×C3⋊D4)⋊34C22 = C2×D6⋊D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):34C2^2192,1046
(C2×C3⋊D4)⋊35C22 = C2×Dic3⋊D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):35C2^2192,1048
(C2×C3⋊D4)⋊36C22 = C234D12φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):36C2^2192,1052
(C2×C3⋊D4)⋊37C22 = C4214D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):37C2^2192,1106
(C2×C3⋊D4)⋊38C22 = C247D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):38C2^2192,1148
(C2×C3⋊D4)⋊39C22 = C248D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):39C2^2192,1149
(C2×C3⋊D4)⋊40C22 = D1220D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):40C2^2192,1171
(C2×C3⋊D4)⋊41C22 = C6.1212+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):41C2^2192,1213
(C2×C3⋊D4)⋊42C22 = C2×C127D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):42C2^2192,1349
(C2×C3⋊D4)⋊43C22 = C2×C232D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):43C2^2192,1358
(C2×C3⋊D4)⋊44C22 = C2×D63D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):44C2^2192,1359
(C2×C3⋊D4)⋊45C22 = D4×C3⋊D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):45C2^2192,1360
(C2×C3⋊D4)⋊46C22 = C2×C23.14D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):46C2^2192,1361
(C2×C3⋊D4)⋊47C22 = C2×C123D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):47C2^2192,1362
(C2×C3⋊D4)⋊48C22 = C2412D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):48C2^2192,1363
(C2×C3⋊D4)⋊49C22 = C2×C244S3φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):49C2^2192,1399
(C2×C3⋊D4)⋊50C22 = C22×S3×D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):50C2^2192,1514
(C2×C3⋊D4)⋊51C22 = C22×D42S3φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4):51C2^2192,1515
(C2×C3⋊D4)⋊52C22 = C2×D46D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):52C2^2192,1516
(C2×C3⋊D4)⋊53C22 = C2×S3×C4○D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):53C2^2192,1520
(C2×C3⋊D4)⋊54C22 = C2×D4○D12φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):54C2^2192,1521
(C2×C3⋊D4)⋊55C22 = C6.C25φ: C22/C2C2 ⊆ Out C2×C3⋊D4484(C2xC3:D4):55C2^2192,1523
(C2×C3⋊D4)⋊56C22 = C22×C4○D12φ: trivial image96(C2xC3:D4):56C2^2192,1513

Non-split extensions G=N.Q with N=C2×C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4).1C22 = C23⋊C45S3φ: C22/C1C22 ⊆ Out C2×C3⋊D4488-(C2xC3:D4).1C2^2192,299
(C2×C3⋊D4).2C22 = C23⋊D12φ: C22/C1C22 ⊆ Out C2×C3⋊D4248+(C2xC3:D4).2C2^2192,300
(C2×C3⋊D4).3C22 = C23.5D12φ: C22/C1C22 ⊆ Out C2×C3⋊D4488-(C2xC3:D4).3C2^2192,301
(C2×C3⋊D4).4C22 = S3×C23⋊C4φ: C22/C1C22 ⊆ Out C2×C3⋊D4248+(C2xC3:D4).4C2^2192,302
(C2×C3⋊D4).5C22 = C246D6φ: C22/C1C22 ⊆ Out C2×C3⋊D4244(C2xC3:D4).5C2^2192,591
(C2×C3⋊D4).6C22 = C22⋊C4⋊D6φ: C22/C1C22 ⊆ Out C2×C3⋊D4484(C2xC3:D4).6C2^2192,612
(C2×C3⋊D4).7C22 = C24.41D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).7C2^2192,1053
(C2×C3⋊D4).8C22 = C24.42D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).8C2^2192,1054
(C2×C3⋊D4).9C22 = C4212D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).9C2^2192,1086
(C2×C3⋊D4).10C22 = C42.96D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).10C2^2192,1090
(C2×C3⋊D4).11C22 = C42.99D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).11C2^2192,1093
(C2×C3⋊D4).12C22 = C42.100D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).12C2^2192,1094
(C2×C3⋊D4).13C22 = C42.104D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).13C2^2192,1099
(C2×C3⋊D4).14C22 = Dic624D4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).14C2^2192,1112
(C2×C3⋊D4).15C22 = D46D12φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).15C2^2192,1114
(C2×C3⋊D4).16C22 = C4218D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).16C2^2192,1115
(C2×C3⋊D4).17C22 = C42.113D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).17C2^2192,1117
(C2×C3⋊D4).18C22 = C42.115D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).18C2^2192,1120
(C2×C3⋊D4).19C22 = C42.116D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).19C2^2192,1121
(C2×C3⋊D4).20C22 = C42.117D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).20C2^2192,1122
(C2×C3⋊D4).21C22 = C42.119D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).21C2^2192,1124
(C2×C3⋊D4).22C22 = C249D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).22C2^2192,1153
(C2×C3⋊D4).23C22 = C12⋊(C4○D4)φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).23C2^2192,1155
(C2×C3⋊D4).24C22 = C6.322+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).24C2^2192,1156
(C2×C3⋊D4).25C22 = Dic620D4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).25C2^2192,1158
(C2×C3⋊D4).26C22 = C6.342+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).26C2^2192,1160
(C2×C3⋊D4).27C22 = C4⋊C421D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).27C2^2192,1165
(C2×C3⋊D4).28C22 = C6.722- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).28C2^2192,1167
(C2×C3⋊D4).29C22 = C6.732- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).29C2^2192,1170
(C2×C3⋊D4).30C22 = C6.422+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).30C2^2192,1172
(C2×C3⋊D4).31C22 = C6.432+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).31C2^2192,1173
(C2×C3⋊D4).32C22 = C6.442+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).32C2^2192,1174
(C2×C3⋊D4).33C22 = C6.452+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).33C2^2192,1175
(C2×C3⋊D4).34C22 = C6.462+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).34C2^2192,1176
(C2×C3⋊D4).35C22 = C6.472+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).35C2^2192,1178
(C2×C3⋊D4).36C22 = C6.492+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).36C2^2192,1180
(C2×C3⋊D4).37C22 = C4⋊C4.187D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).37C2^2192,1183
(C2×C3⋊D4).38C22 = C4⋊C426D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).38C2^2192,1186
(C2×C3⋊D4).39C22 = C6.242- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).39C2^2192,1202
(C2×C3⋊D4).40C22 = C6.562+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).40C2^2192,1203
(C2×C3⋊D4).41C22 = C6.782- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).41C2^2192,1204
(C2×C3⋊D4).42C22 = C6.252- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).42C2^2192,1205
(C2×C3⋊D4).43C22 = C6.592+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).43C2^2192,1206
(C2×C3⋊D4).44C22 = C6.792- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).44C2^2192,1207
(C2×C3⋊D4).45C22 = C4⋊C4.197D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).45C2^2192,1208
(C2×C3⋊D4).46C22 = S3×C22.D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).46C2^2192,1211
(C2×C3⋊D4).47C22 = C6.1222+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).47C2^2192,1217
(C2×C3⋊D4).48C22 = C6.632+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).48C2^2192,1219
(C2×C3⋊D4).49C22 = C6.642+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).49C2^2192,1220
(C2×C3⋊D4).50C22 = C6.652+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).50C2^2192,1221
(C2×C3⋊D4).51C22 = C6.662+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).51C2^2192,1222
(C2×C3⋊D4).52C22 = C6.672+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).52C2^2192,1223
(C2×C3⋊D4).53C22 = C6.852- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).53C2^2192,1224
(C2×C3⋊D4).54C22 = C6.692+ 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).54C2^2192,1226
(C2×C3⋊D4).55C22 = C42.233D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).55C2^2192,1227
(C2×C3⋊D4).56C22 = C42.137D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).56C2^2192,1228
(C2×C3⋊D4).57C22 = C42.138D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).57C2^2192,1229
(C2×C3⋊D4).58C22 = S3×C4.4D4φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).58C2^2192,1232
(C2×C3⋊D4).59C22 = C42.141D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).59C2^2192,1234
(C2×C3⋊D4).60C22 = Dic610D4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).60C2^2192,1236
(C2×C3⋊D4).61C22 = C4223D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).61C2^2192,1238
(C2×C3⋊D4).62C22 = C42.234D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).62C2^2192,1239
(C2×C3⋊D4).63C22 = C42.143D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).63C2^2192,1240
(C2×C3⋊D4).64C22 = C42.144D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).64C2^2192,1241
(C2×C3⋊D4).65C22 = C4224D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).65C2^2192,1242
(C2×C3⋊D4).66C22 = C42.145D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).66C2^2192,1243
(C2×C3⋊D4).67C22 = C42.160D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).67C2^2192,1261
(C2×C3⋊D4).68C22 = C4225D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).68C2^2192,1263
(C2×C3⋊D4).69C22 = C4226D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).69C2^2192,1264
(C2×C3⋊D4).70C22 = C42.189D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).70C2^2192,1265
(C2×C3⋊D4).71C22 = C42.161D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).71C2^2192,1266
(C2×C3⋊D4).72C22 = C42.162D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).72C2^2192,1267
(C2×C3⋊D4).73C22 = C42.163D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).73C2^2192,1268
(C2×C3⋊D4).74C22 = C42.164D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).74C2^2192,1269
(C2×C3⋊D4).75C22 = C4227D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).75C2^2192,1270
(C2×C3⋊D4).76C22 = C42.165D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).76C2^2192,1271
(C2×C3⋊D4).77C22 = C42.238D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).77C2^2192,1275
(C2×C3⋊D4).78C22 = Dic611D4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).78C2^2192,1277
(C2×C3⋊D4).79C22 = C42.168D6φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).79C2^2192,1278
(C2×C3⋊D4).80C22 = C4230D6φ: C22/C1C22 ⊆ Out C2×C3⋊D448(C2xC3:D4).80C2^2192,1279
(C2×C3⋊D4).81C22 = C6.1042- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).81C2^2192,1383
(C2×C3⋊D4).82C22 = C6.1082- 1+4φ: C22/C1C22 ⊆ Out C2×C3⋊D496(C2xC3:D4).82C2^2192,1392
(C2×C3⋊D4).83C22 = C2×C23.6D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).83C2^2192,513
(C2×C3⋊D4).84C22 = (C2×D12)⋊13C4φ: C22/C2C2 ⊆ Out C2×C3⋊D4484(C2xC3:D4).84C2^2192,565
(C2×C3⋊D4).85C22 = C42.276D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).85C2^2192,1036
(C2×C3⋊D4).86C22 = C42.277D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).86C2^2192,1038
(C2×C3⋊D4).87C22 = C2×Dic34D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).87C2^2192,1044
(C2×C3⋊D4).88C22 = C24.35D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).88C2^2192,1045
(C2×C3⋊D4).89C22 = C2×C23.9D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).89C2^2192,1047
(C2×C3⋊D4).90C22 = C2×C23.11D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).90C2^2192,1050
(C2×C3⋊D4).91C22 = C2×C23.21D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).91C2^2192,1051
(C2×C3⋊D4).92C22 = C6.2- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).92C2^2192,1066
(C2×C3⋊D4).93C22 = C6.2+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).93C2^2192,1069
(C2×C3⋊D4).94C22 = C6.52- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).94C2^2192,1072
(C2×C3⋊D4).95C22 = C6.112+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).95C2^2192,1073
(C2×C3⋊D4).96C22 = C6.62- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).96C2^2192,1074
(C2×C3⋊D4).97C22 = C42.188D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).97C2^2192,1081
(C2×C3⋊D4).98C22 = C42.91D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).98C2^2192,1082
(C2×C3⋊D4).99C22 = C4210D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).99C2^2192,1083
(C2×C3⋊D4).100C22 = C4211D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).100C2^2192,1084
(C2×C3⋊D4).101C22 = C42.92D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).101C2^2192,1085
(C2×C3⋊D4).102C22 = C42.93D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).102C2^2192,1087
(C2×C3⋊D4).103C22 = C42.94D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).103C2^2192,1088
(C2×C3⋊D4).104C22 = C42.95D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).104C2^2192,1089
(C2×C3⋊D4).105C22 = C42.97D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).105C2^2192,1091
(C2×C3⋊D4).106C22 = C42.98D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).106C2^2192,1092
(C2×C3⋊D4).107C22 = C4×D42S3φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).107C2^2192,1095
(C2×C3⋊D4).108C22 = C42.102D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).108C2^2192,1097
(C2×C3⋊D4).109C22 = C4×S3×D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).109C2^2192,1103
(C2×C3⋊D4).110C22 = C4213D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).110C2^2192,1104
(C2×C3⋊D4).111C22 = C42.108D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).111C2^2192,1105
(C2×C3⋊D4).112C22 = C42.228D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).112C2^2192,1107
(C2×C3⋊D4).113C22 = D1224D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).113C2^2192,1110
(C2×C3⋊D4).114C22 = Dic623D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).114C2^2192,1111
(C2×C3⋊D4).115C22 = C42.229D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).115C2^2192,1116
(C2×C3⋊D4).116C22 = C42.114D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).116C2^2192,1118
(C2×C3⋊D4).117C22 = C42.118D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).117C2^2192,1123
(C2×C3⋊D4).118C22 = Dic619D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).118C2^2192,1157
(C2×C3⋊D4).119C22 = C6.1152+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).119C2^2192,1177
(C2×C3⋊D4).120C22 = C6.162- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).120C2^2192,1187
(C2×C3⋊D4).121C22 = C6.172- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).121C2^2192,1188
(C2×C3⋊D4).122C22 = D1221D4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).122C2^2192,1189
(C2×C3⋊D4).123C22 = D1222D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).123C2^2192,1190
(C2×C3⋊D4).124C22 = Dic621D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).124C2^2192,1191
(C2×C3⋊D4).125C22 = Dic622D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).125C2^2192,1192
(C2×C3⋊D4).126C22 = C6.1182+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).126C2^2192,1194
(C2×C3⋊D4).127C22 = C6.522+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).127C2^2192,1195
(C2×C3⋊D4).128C22 = C6.532+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).128C2^2192,1196
(C2×C3⋊D4).129C22 = C6.202- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).129C2^2192,1197
(C2×C3⋊D4).130C22 = C6.212- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).130C2^2192,1198
(C2×C3⋊D4).131C22 = C6.222- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).131C2^2192,1199
(C2×C3⋊D4).132C22 = C6.232- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).132C2^2192,1200
(C2×C3⋊D4).133C22 = C6.772- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).133C2^2192,1201
(C2×C3⋊D4).134C22 = C6.822- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).134C2^2192,1214
(C2×C3⋊D4).135C22 = C6.622+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).135C2^2192,1218
(C2×C3⋊D4).136C22 = C2×C23.28D6φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).136C2^2192,1348
(C2×C3⋊D4).137C22 = C24.83D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).137C2^2192,1350
(C2×C3⋊D4).138C22 = C6.442- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).138C2^2192,1375
(C2×C3⋊D4).139C22 = C6.452- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).139C2^2192,1376
(C2×C3⋊D4).140C22 = (C2×D4)⋊43D6φ: C22/C2C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).140C2^2192,1387
(C2×C3⋊D4).141C22 = C6.1072- 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).141C2^2192,1390
(C2×C3⋊D4).142C22 = (C2×C12)⋊17D4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).142C2^2192,1391
(C2×C3⋊D4).143C22 = C6.1482+ 1+4φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).143C2^2192,1393
(C2×C3⋊D4).144C22 = C2×Q8○D12φ: C22/C2C2 ⊆ Out C2×C3⋊D496(C2xC3:D4).144C2^2192,1522
(C2×C3⋊D4).145C22 = C4×C4○D12φ: trivial image96(C2xC3:D4).145C2^2192,1033
(C2×C3⋊D4).146C22 = C6.82+ 1+4φ: trivial image96(C2xC3:D4).146C2^2192,1063
(C2×C3⋊D4).147C22 = C6.102+ 1+4φ: trivial image96(C2xC3:D4).147C2^2192,1070
(C2×C3⋊D4).148C22 = C2×C4×C3⋊D4φ: trivial image96(C2xC3:D4).148C2^2192,1347
(C2×C3⋊D4).149C22 = Q8×C3⋊D4φ: trivial image96(C2xC3:D4).149C2^2192,1374
(C2×C3⋊D4).150C22 = C2×Q8.15D6φ: trivial image96(C2xC3:D4).150C2^2192,1519

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