Extensions 1→N→G→Q→1 with N=C22×C14 and Q=C23

Direct product G=N×Q with N=C22×C14 and Q=C23
dρLabelID
C25×C14448C2^5xC14448,1396

Semidirect products G=N:Q with N=C22×C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C14)⋊1C23 = D7×C22≀C2φ: C23/C1C23 ⊆ Aut C22×C1456(C2^2xC14):1C2^3448,1041
(C22×C14)⋊2C23 = D7×2+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14568+(C2^2xC14):2C2^3448,1379
(C22×C14)⋊3C23 = C14×C22≀C2φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14):3C2^3448,1304
(C22×C14)⋊4C23 = C14×2+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14):4C2^3448,1389
(C22×C14)⋊5C23 = C2×C23⋊D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14):5C2^3448,1252
(C22×C14)⋊6C23 = C22×D4×D7φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14):6C2^3448,1369
(C22×C14)⋊7C23 = C2×D46D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14):7C2^3448,1371
(C22×C14)⋊8C23 = D4×C22×C14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14):8C2^3448,1386
(C22×C14)⋊9C23 = C23×C7⋊D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14):9C2^3448,1384
(C22×C14)⋊10C23 = D7×C25φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14):10C2^3448,1395

Non-split extensions G=N.Q with N=C22×C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C14).1C23 = C23⋊C45D7φ: C23/C1C23 ⊆ Aut C22×C141128-(C2^2xC14).1C2^3448,274
(C22×C14).2C23 = C23⋊D28φ: C23/C1C23 ⊆ Aut C22×C14568+(C2^2xC14).2C2^3448,275
(C22×C14).3C23 = C23.5D28φ: C23/C1C23 ⊆ Aut C22×C141128-(C2^2xC14).3C2^3448,276
(C22×C14).4C23 = D7×C23⋊C4φ: C23/C1C23 ⊆ Aut C22×C14568+(C2^2xC14).4C2^3448,277
(C22×C14).5C23 = 2+ 1+4.2D7φ: C23/C1C23 ⊆ Aut C22×C141128-(C2^2xC14).5C2^3448,777
(C22×C14).6C23 = 2+ 1+42D7φ: C23/C1C23 ⊆ Aut C22×C14568+(C2^2xC14).6C2^3448,778
(C22×C14).7C23 = C24.56D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).7C2^3448,1039
(C22×C14).8C23 = C242D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).8C2^3448,1042
(C22×C14).9C23 = C24.33D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).9C2^3448,1044
(C22×C14).10C23 = C24.34D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).10C2^3448,1045
(C22×C14).11C23 = C28⋊(C4○D4)φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).11C2^3448,1049
(C22×C14).12C23 = C14.682- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).12C2^3448,1050
(C22×C14).13C23 = Dic1419D4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).13C2^3448,1051
(C22×C14).14C23 = Dic1420D4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).14C2^3448,1052
(C22×C14).15C23 = C4⋊C4.178D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).15C2^3448,1053
(C22×C14).16C23 = C14.342+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).16C2^3448,1054
(C22×C14).17C23 = C14.352+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).17C2^3448,1055
(C22×C14).18C23 = C14.372+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).18C2^3448,1058
(C22×C14).19C23 = C4⋊C421D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).19C2^3448,1059
(C22×C14).20C23 = C14.382+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).20C2^3448,1060
(C22×C14).21C23 = C14.402+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).21C2^3448,1063
(C22×C14).22C23 = C14.732- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).22C2^3448,1064
(C22×C14).23C23 = D2820D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).23C2^3448,1065
(C22×C14).24C23 = C14.422+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).24C2^3448,1066
(C22×C14).25C23 = C14.432+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).25C2^3448,1067
(C22×C14).26C23 = C14.442+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).26C2^3448,1068
(C22×C14).27C23 = C14.462+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).27C2^3448,1070
(C22×C14).28C23 = C14.792- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).28C2^3448,1101
(C22×C14).29C23 = C4⋊C4.197D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).29C2^3448,1102
(C22×C14).30C23 = C14.802- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).30C2^3448,1103
(C22×C14).31C23 = D7×C22.D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).31C2^3448,1105
(C22×C14).32C23 = C14.1202+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).32C2^3448,1106
(C22×C14).33C23 = C14.1212+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).33C2^3448,1107
(C22×C14).34C23 = C14.822- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).34C2^3448,1108
(C22×C14).35C23 = C4⋊C428D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).35C2^3448,1109
(C22×C14).36C23 = C14.832- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).36C2^3448,1113
(C22×C14).37C23 = C14.642+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).37C2^3448,1114
(C22×C14).38C23 = C14.842- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).38C2^3448,1115
(C22×C14).39C23 = C14.662+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).39C2^3448,1116
(C22×C14).40C23 = C14.672+ 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).40C2^3448,1117
(C22×C14).41C23 = C14.852- 1+4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).41C2^3448,1118
(C22×C14).42C23 = C42.233D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).42C2^3448,1121
(C22×C14).43C23 = C42.137D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).43C2^3448,1122
(C22×C14).44C23 = C42.138D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).44C2^3448,1123
(C22×C14).45C23 = C42.139D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).45C2^3448,1124
(C22×C14).46C23 = C42.140D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).46C2^3448,1125
(C22×C14).47C23 = D7×C4.4D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).47C2^3448,1126
(C22×C14).48C23 = C4218D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).48C2^3448,1127
(C22×C14).49C23 = C42.141D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).49C2^3448,1128
(C22×C14).50C23 = D2810D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).50C2^3448,1129
(C22×C14).51C23 = Dic1410D4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).51C2^3448,1130
(C22×C14).52C23 = C4220D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).52C2^3448,1131
(C22×C14).53C23 = C4221D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).53C2^3448,1132
(C22×C14).54C23 = C42.234D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).54C2^3448,1133
(C22×C14).55C23 = C42.143D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).55C2^3448,1134
(C22×C14).56C23 = C42.144D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).56C2^3448,1135
(C22×C14).57C23 = C4222D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).57C2^3448,1136
(C22×C14).58C23 = C42.145D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).58C2^3448,1137
(C22×C14).59C23 = C42.159D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).59C2^3448,1154
(C22×C14).60C23 = C42.160D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).60C2^3448,1155
(C22×C14).61C23 = D7×C422C2φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).61C2^3448,1156
(C22×C14).62C23 = C4223D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).62C2^3448,1157
(C22×C14).63C23 = C4224D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).63C2^3448,1158
(C22×C14).64C23 = C42.189D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).64C2^3448,1159
(C22×C14).65C23 = C42.161D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).65C2^3448,1160
(C22×C14).66C23 = C42.162D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).66C2^3448,1161
(C22×C14).67C23 = C42.163D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).67C2^3448,1162
(C22×C14).68C23 = C42.164D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).68C2^3448,1163
(C22×C14).69C23 = C4225D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).69C2^3448,1164
(C22×C14).70C23 = C42.165D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).70C2^3448,1165
(C22×C14).71C23 = C42.166D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).71C2^3448,1166
(C22×C14).72C23 = D7×C41D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).72C2^3448,1167
(C22×C14).73C23 = C4226D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).73C2^3448,1168
(C22×C14).74C23 = C42.238D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).74C2^3448,1169
(C22×C14).75C23 = D2811D4φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).75C2^3448,1170
(C22×C14).76C23 = Dic1411D4φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).76C2^3448,1171
(C22×C14).77C23 = C42.168D14φ: C23/C1C23 ⊆ Aut C22×C14224(C2^2xC14).77C2^3448,1172
(C22×C14).78C23 = C4228D14φ: C23/C1C23 ⊆ Aut C22×C14112(C2^2xC14).78C2^3448,1173
(C22×C14).79C23 = D14.C24φ: C23/C1C23 ⊆ Aut C22×C141128-(C2^2xC14).79C2^3448,1380
(C22×C14).80C23 = C14×C23⋊C4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).80C2^3448,817
(C22×C14).81C23 = C7×C23.C23φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).81C2^3448,818
(C22×C14).82C23 = C7×C2≀C22φ: C23/C2C22 ⊆ Aut C22×C14564(C2^2xC14).82C2^3448,865
(C22×C14).83C23 = C7×C23.7D4φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).83C2^3448,866
(C22×C14).84C23 = C7×C22.19C24φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).84C2^3448,1308
(C22×C14).85C23 = C14×C4.4D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).85C2^3448,1309
(C22×C14).86C23 = C14×C422C2φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).86C2^3448,1311
(C22×C14).87C23 = C7×C23.36C23φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).87C2^3448,1312
(C22×C14).88C23 = C14×C41D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).88C2^3448,1313
(C22×C14).89C23 = C7×C22.26C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).89C2^3448,1315
(C22×C14).90C23 = C7×C233D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).90C2^3448,1317
(C22×C14).91C23 = C7×C22.29C24φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).91C2^3448,1318
(C22×C14).92C23 = C7×C22.31C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).92C2^3448,1320
(C22×C14).93C23 = C7×C22.32C24φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).93C2^3448,1321
(C22×C14).94C23 = C7×C22.33C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).94C2^3448,1322
(C22×C14).95C23 = C7×C22.34C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).95C2^3448,1323
(C22×C14).96C23 = C7×C22.35C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).96C2^3448,1324
(C22×C14).97C23 = C7×C22.36C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).97C2^3448,1325
(C22×C14).98C23 = C7×D45D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).98C2^3448,1329
(C22×C14).99C23 = C7×D46D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).99C2^3448,1330
(C22×C14).100C23 = C7×Q85D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).100C2^3448,1331
(C22×C14).101C23 = C7×Q86D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).101C2^3448,1333
(C22×C14).102C23 = C7×C22.47C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).102C2^3448,1336
(C22×C14).103C23 = C7×C22.49C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).103C2^3448,1338
(C22×C14).104C23 = C7×C22.50C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).104C2^3448,1339
(C22×C14).105C23 = C7×C22.53C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).105C2^3448,1342
(C22×C14).106C23 = C7×C22.54C24φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).106C2^3448,1343
(C22×C14).107C23 = C7×C24⋊C22φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).107C2^3448,1344
(C22×C14).108C23 = C7×C22.56C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).108C2^3448,1345
(C22×C14).109C23 = C7×C22.57C24φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).109C2^3448,1346
(C22×C14).110C23 = C7×C2.C25φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).110C2^3448,1391
(C22×C14).111C23 = C2×C23.1D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).111C2^3448,488
(C22×C14).112C23 = (C2×D28)⋊13C4φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).112C2^3448,540
(C22×C14).113C23 = C24⋊D14φ: C23/C2C22 ⊆ Aut C22×C14564(C2^2xC14).113C2^3448,566
(C22×C14).114C23 = C22⋊C4⋊D14φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).114C2^3448,587
(C22×C14).115C23 = C2×C23⋊Dic7φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).115C2^3448,753
(C22×C14).116C23 = (D4×C14)⋊10C4φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).116C2^3448,774
(C22×C14).117C23 = C2×C22⋊Dic14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).117C2^3448,934
(C22×C14).118C23 = C2×C23.D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).118C2^3448,935
(C22×C14).119C23 = C232Dic14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).119C2^3448,936
(C22×C14).120C23 = C2×D7×C22⋊C4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).120C2^3448,937
(C22×C14).121C23 = C2×Dic74D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).121C2^3448,938
(C22×C14).122C23 = C24.24D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).122C2^3448,939
(C22×C14).123C23 = C2×C22⋊D28φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).123C2^3448,940
(C22×C14).124C23 = C2×D14.D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).124C2^3448,941
(C22×C14).125C23 = C2×D14⋊D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).125C2^3448,942
(C22×C14).126C23 = C2×C22.D28φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).126C2^3448,945
(C22×C14).127C23 = C233D28φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).127C2^3448,946
(C22×C14).128C23 = C24.30D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).128C2^3448,947
(C22×C14).129C23 = C24.31D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).129C2^3448,948
(C22×C14).130C23 = C42.87D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).130C2^3448,969
(C22×C14).131C23 = C42.88D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).131C2^3448,970
(C22×C14).132C23 = C42.89D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).132C2^3448,971
(C22×C14).133C23 = C42.90D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).133C2^3448,972
(C22×C14).134C23 = D7×C42⋊C2φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).134C2^3448,973
(C22×C14).135C23 = C427D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).135C2^3448,974
(C22×C14).136C23 = C42.188D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).136C2^3448,975
(C22×C14).137C23 = C42.91D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).137C2^3448,976
(C22×C14).138C23 = C428D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).138C2^3448,977
(C22×C14).139C23 = C429D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).139C2^3448,978
(C22×C14).140C23 = C42.92D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).140C2^3448,979
(C22×C14).141C23 = C4210D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).141C2^3448,980
(C22×C14).142C23 = C42.93D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).142C2^3448,981
(C22×C14).143C23 = C42.94D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).143C2^3448,982
(C22×C14).144C23 = C42.95D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).144C2^3448,983
(C22×C14).145C23 = C42.96D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).145C2^3448,984
(C22×C14).146C23 = C42.97D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).146C2^3448,985
(C22×C14).147C23 = C42.98D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).147C2^3448,986
(C22×C14).148C23 = C42.99D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).148C2^3448,987
(C22×C14).149C23 = C42.100D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).149C2^3448,988
(C22×C14).150C23 = C4×D42D7φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).150C2^3448,989
(C22×C14).151C23 = D4×Dic14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).151C2^3448,990
(C22×C14).152C23 = C42.102D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).152C2^3448,991
(C22×C14).153C23 = D45Dic14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).153C2^3448,992
(C22×C14).154C23 = C42.104D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).154C2^3448,993
(C22×C14).155C23 = C42.105D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).155C2^3448,994
(C22×C14).156C23 = C42.106D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).156C2^3448,995
(C22×C14).157C23 = D46Dic14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).157C2^3448,996
(C22×C14).158C23 = C4×D4×D7φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).158C2^3448,997
(C22×C14).159C23 = C4211D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).159C2^3448,998
(C22×C14).160C23 = C42.108D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).160C2^3448,999
(C22×C14).161C23 = C4212D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).161C2^3448,1000
(C22×C14).162C23 = C42.228D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).162C2^3448,1001
(C22×C14).163C23 = D4×D28φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).163C2^3448,1002
(C22×C14).164C23 = D2823D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).164C2^3448,1003
(C22×C14).165C23 = D2824D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).165C2^3448,1004
(C22×C14).166C23 = Dic1423D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).166C2^3448,1005
(C22×C14).167C23 = Dic1424D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).167C2^3448,1006
(C22×C14).168C23 = D45D28φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).168C2^3448,1007
(C22×C14).169C23 = D46D28φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).169C2^3448,1008
(C22×C14).170C23 = C4216D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).170C2^3448,1009
(C22×C14).171C23 = C42.229D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).171C2^3448,1010
(C22×C14).172C23 = C42.113D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).172C2^3448,1011
(C22×C14).173C23 = C42.114D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).173C2^3448,1012
(C22×C14).174C23 = C4217D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).174C2^3448,1013
(C22×C14).175C23 = C42.115D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).175C2^3448,1014
(C22×C14).176C23 = C42.116D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).176C2^3448,1015
(C22×C14).177C23 = C42.117D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).177C2^3448,1016
(C22×C14).178C23 = C42.118D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).178C2^3448,1017
(C22×C14).179C23 = C42.119D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).179C2^3448,1018
(C22×C14).180C23 = C24.32D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).180C2^3448,1040
(C22×C14).181C23 = C243D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).181C2^3448,1043
(C22×C14).182C23 = C24.35D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).182C2^3448,1046
(C22×C14).183C23 = C244D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).183C2^3448,1047
(C22×C14).184C23 = C24.36D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).184C2^3448,1048
(C22×C14).185C23 = C14.712- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).185C2^3448,1056
(C22×C14).186C23 = D7×C4⋊D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).186C2^3448,1057
(C22×C14).187C23 = C14.722- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).187C2^3448,1061
(C22×C14).188C23 = D2819D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).188C2^3448,1062
(C22×C14).189C23 = C14.452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).189C2^3448,1069
(C22×C14).190C23 = C14.1152+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).190C2^3448,1071
(C22×C14).191C23 = C14.472+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).191C2^3448,1072
(C22×C14).192C23 = C14.482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).192C2^3448,1073
(C22×C14).193C23 = C14.492+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).193C2^3448,1074
(C22×C14).194C23 = (Q8×Dic7)⋊C2φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).194C2^3448,1075
(C22×C14).195C23 = C14.752- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).195C2^3448,1076
(C22×C14).196C23 = C22⋊Q825D7φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).196C2^3448,1077
(C22×C14).197C23 = C14.152- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).197C2^3448,1078
(C22×C14).198C23 = D7×C22⋊Q8φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).198C2^3448,1079
(C22×C14).199C23 = C4⋊C426D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).199C2^3448,1080
(C22×C14).200C23 = C14.162- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).200C2^3448,1081
(C22×C14).201C23 = C14.172- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).201C2^3448,1082
(C22×C14).202C23 = D2821D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).202C2^3448,1083
(C22×C14).203C23 = D2822D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).203C2^3448,1084
(C22×C14).204C23 = Dic1421D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).204C2^3448,1085
(C22×C14).205C23 = Dic1422D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).205C2^3448,1086
(C22×C14).206C23 = C14.512+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).206C2^3448,1087
(C22×C14).207C23 = C14.1182+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).207C2^3448,1088
(C22×C14).208C23 = C14.522+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).208C2^3448,1089
(C22×C14).209C23 = C14.532+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).209C2^3448,1090
(C22×C14).210C23 = C14.202- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).210C2^3448,1091
(C22×C14).211C23 = C14.212- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).211C2^3448,1092
(C22×C14).212C23 = C14.222- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).212C2^3448,1093
(C22×C14).213C23 = C14.232- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).213C2^3448,1094
(C22×C14).214C23 = C14.772- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).214C2^3448,1095
(C22×C14).215C23 = C14.242- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).215C2^3448,1096
(C22×C14).216C23 = C14.562+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).216C2^3448,1097
(C22×C14).217C23 = C14.572+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).217C2^3448,1098
(C22×C14).218C23 = C14.582+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).218C2^3448,1099
(C22×C14).219C23 = C14.262- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).219C2^3448,1100
(C22×C14).220C23 = C14.602+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).220C2^3448,1104
(C22×C14).221C23 = C14.612+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).221C2^3448,1110
(C22×C14).222C23 = C14.1222+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).222C2^3448,1111
(C22×C14).223C23 = C14.622+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).223C2^3448,1112
(C22×C14).224C23 = C14.682+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).224C2^3448,1119
(C22×C14).225C23 = C14.862- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).225C2^3448,1120
(C22×C14).226C23 = C2×D4×Dic7φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).226C2^3448,1248
(C22×C14).227C23 = C2×C23.18D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).227C2^3448,1249
(C22×C14).228C23 = C2×C28.17D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).228C2^3448,1250
(C22×C14).229C23 = C24.38D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).229C2^3448,1251
(C22×C14).230C23 = D4×C7⋊D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).230C2^3448,1254
(C22×C14).231C23 = C2×Dic7⋊D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).231C2^3448,1255
(C22×C14).232C23 = C2×C28⋊D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).232C2^3448,1256
(C22×C14).233C23 = C247D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).233C2^3448,1257
(C22×C14).234C23 = C24.41D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).234C2^3448,1258
(C22×C14).235C23 = C24.42D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).235C2^3448,1259
(C22×C14).236C23 = C14.1042- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).236C2^3448,1277
(C22×C14).237C23 = C14.1052- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).237C2^3448,1278
(C22×C14).238C23 = C4○D4×Dic7φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).238C2^3448,1279
(C22×C14).239C23 = C14.1062- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).239C2^3448,1280
(C22×C14).240C23 = (C2×C28)⋊15D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).240C2^3448,1281
(C22×C14).241C23 = C14.1452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).241C2^3448,1282
(C22×C14).242C23 = C14.1462+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).242C2^3448,1283
(C22×C14).243C23 = C14.1072- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).243C2^3448,1284
(C22×C14).244C23 = (C2×C28)⋊17D4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).244C2^3448,1285
(C22×C14).245C23 = C14.1082- 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).245C2^3448,1286
(C22×C14).246C23 = C14.1482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).246C2^3448,1287
(C22×C14).247C23 = C2×D7×C4○D4φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).247C2^3448,1375
(C22×C14).248C23 = C2×D48D14φ: C23/C2C22 ⊆ Aut C22×C14112(C2^2xC14).248C2^3448,1376
(C22×C14).249C23 = C2×D4.10D14φ: C23/C2C22 ⊆ Aut C22×C14224(C2^2xC14).249C2^3448,1377
(C22×C14).250C23 = C14.C25φ: C23/C2C22 ⊆ Aut C22×C141124(C2^2xC14).250C2^3448,1378
(C22×C14).251C23 = C22⋊C4×C2×C14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).251C2^3448,1295
(C22×C14).252C23 = D4×C2×C28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).252C2^3448,1298
(C22×C14).253C23 = C4○D4×C28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).253C2^3448,1300
(C22×C14).254C23 = C7×C22.11C24φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).254C2^3448,1301
(C22×C14).255C23 = C7×C23.32C23φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).255C2^3448,1302
(C22×C14).256C23 = C7×C23.33C23φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).256C2^3448,1303
(C22×C14).257C23 = C14×C4⋊D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).257C2^3448,1305
(C22×C14).258C23 = C14×C22⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).258C2^3448,1306
(C22×C14).259C23 = C14×C22.D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).259C2^3448,1307
(C22×C14).260C23 = C7×C23.37C23φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).260C2^3448,1316
(C22×C14).261C23 = C7×C23.38C23φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).261C2^3448,1319
(C22×C14).262C23 = C7×C232Q8φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).262C2^3448,1326
(C22×C14).263C23 = C7×C23.41C23φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).263C2^3448,1327
(C22×C14).264C23 = C7×D42φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).264C2^3448,1328
(C22×C14).265C23 = C7×D4×Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).265C2^3448,1332
(C22×C14).266C23 = C7×C22.45C24φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).266C2^3448,1334
(C22×C14).267C23 = C7×C22.46C24φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).267C2^3448,1335
(C22×C14).268C23 = C7×D43Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).268C2^3448,1337
(C22×C14).269C23 = C4○D4×C2×C14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).269C2^3448,1388
(C22×C14).270C23 = C14×2- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).270C2^3448,1390
(C22×C14).271C23 = (C2×C28)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).271C2^3448,180
(C22×C14).272C23 = C14.(C4×Q8)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).272C2^3448,181
(C22×C14).273C23 = Dic7.5C42φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).273C2^3448,182
(C22×C14).274C23 = Dic7⋊C42φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).274C2^3448,183
(C22×C14).275C23 = C7⋊(C428C4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).275C2^3448,184
(C22×C14).276C23 = C7⋊(C425C4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).276C2^3448,185
(C22×C14).277C23 = Dic7⋊C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).277C2^3448,186
(C22×C14).278C23 = C4⋊Dic77C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).278C2^3448,187
(C22×C14).279C23 = C4⋊Dic78C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).279C2^3448,188
(C22×C14).280C23 = C14.(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).280C2^3448,189
(C22×C14).281C23 = (C2×Dic7)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).281C2^3448,190
(C22×C14).282C23 = C2.(C28⋊Q8)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).282C2^3448,191
(C22×C14).283C23 = (C2×Dic7).Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).283C2^3448,192
(C22×C14).284C23 = (C2×C28).28D4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).284C2^3448,193
(C22×C14).285C23 = (C2×C4).Dic14φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).285C2^3448,194
(C22×C14).286C23 = C14.(C4⋊Q8)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).286C2^3448,195
(C22×C14).287C23 = (C22×C4).D14φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).287C2^3448,196
(C22×C14).288C23 = D7×C2.C42φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).288C2^3448,197
(C22×C14).289C23 = C22.58(D4×D7)φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).289C2^3448,198
(C22×C14).290C23 = (C2×C4)⋊9D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).290C2^3448,199
(C22×C14).291C23 = D14⋊C42φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).291C2^3448,200
(C22×C14).292C23 = D14⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).292C2^3448,201
(C22×C14).293C23 = D14⋊C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).293C2^3448,202
(C22×C14).294C23 = D14⋊C45C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).294C2^3448,203
(C22×C14).295C23 = C2.(C4×D28)φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).295C2^3448,204
(C22×C14).296C23 = (C2×C28)⋊5D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).296C2^3448,205
(C22×C14).297C23 = (C2×Dic7)⋊3D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).297C2^3448,206
(C22×C14).298C23 = (C2×C4).20D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).298C2^3448,207
(C22×C14).299C23 = (C2×C4).21D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).299C2^3448,208
(C22×C14).300C23 = (C22×D7).9D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).300C2^3448,209
(C22×C14).301C23 = (C22×D7).Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).301C2^3448,210
(C22×C14).302C23 = (C2×C28).33D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).302C2^3448,211
(C22×C14).303C23 = C284(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).303C2^3448,462
(C22×C14).304C23 = (C2×C28)⋊10Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).304C2^3448,463
(C22×C14).305C23 = C42×Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).305C2^3448,464
(C22×C14).306C23 = C4×Dic7⋊C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).306C2^3448,465
(C22×C14).307C23 = C424Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).307C2^3448,466
(C22×C14).308C23 = (C2×C42).D7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).308C2^3448,467
(C22×C14).309C23 = C4×C4⋊Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).309C2^3448,468
(C22×C14).310C23 = C428Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).310C2^3448,469
(C22×C14).311C23 = C429Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).311C2^3448,470
(C22×C14).312C23 = C425Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).312C2^3448,471
(C22×C14).313C23 = C4×D14⋊C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).313C2^3448,472
(C22×C14).314C23 = (C2×C4)⋊6D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).314C2^3448,473
(C22×C14).315C23 = (C2×C42)⋊D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).315C2^3448,474
(C22×C14).316C23 = C22⋊C4×Dic7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).316C2^3448,475
(C22×C14).317C23 = C24.44D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).317C2^3448,476
(C22×C14).318C23 = C23.42D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).318C2^3448,477
(C22×C14).319C23 = C24.3D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).319C2^3448,478
(C22×C14).320C23 = C24.4D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).320C2^3448,479
(C22×C14).321C23 = C24.46D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).321C2^3448,480
(C22×C14).322C23 = C23⋊Dic14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).322C2^3448,481
(C22×C14).323C23 = C24.6D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).323C2^3448,482
(C22×C14).324C23 = C24.7D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).324C2^3448,483
(C22×C14).325C23 = C24.47D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).325C2^3448,484
(C22×C14).326C23 = C24.8D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).326C2^3448,485
(C22×C14).327C23 = C24.9D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).327C2^3448,486
(C22×C14).328C23 = C24.10D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).328C2^3448,487
(C22×C14).329C23 = C23.44D28φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).329C2^3448,489
(C22×C14).330C23 = C24.12D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).330C2^3448,490
(C22×C14).331C23 = C24.13D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).331C2^3448,491
(C22×C14).332C23 = C23.45D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).332C2^3448,492
(C22×C14).333C23 = C24.14D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).333C2^3448,493
(C22×C14).334C23 = C232D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).334C2^3448,494
(C22×C14).335C23 = C23.16D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).335C2^3448,495
(C22×C14).336C23 = Dic7⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).336C2^3448,506
(C22×C14).337C23 = C28⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).337C2^3448,507
(C22×C14).338C23 = (C2×Dic7)⋊6Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).338C2^3448,508
(C22×C14).339C23 = C4⋊C4×Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).339C2^3448,509
(C22×C14).340C23 = (C4×Dic7)⋊8C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).340C2^3448,510
(C22×C14).341C23 = (C4×Dic7)⋊9C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).341C2^3448,511
(C22×C14).342C23 = C22.23(Q8×D7)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).342C2^3448,512
(C22×C14).343C23 = (C2×C4)⋊Dic14φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).343C2^3448,513
(C22×C14).344C23 = (C2×C28).287D4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).344C2^3448,514
(C22×C14).345C23 = C4⋊C45Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).345C2^3448,515
(C22×C14).346C23 = (C2×C28).288D4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).346C2^3448,516
(C22×C14).347C23 = (C2×C4).44D28φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).347C2^3448,517
(C22×C14).348C23 = (C2×C28).54D4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).348C2^3448,518
(C22×C14).349C23 = C4⋊(C4⋊Dic7)φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).349C2^3448,519
(C22×C14).350C23 = (C2×C28).55D4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).350C2^3448,520
(C22×C14).351C23 = C4⋊(D14⋊C4)φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).351C2^3448,521
(C22×C14).352C23 = (C2×D28)⋊10C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).352C2^3448,522
(C22×C14).353C23 = D14⋊C46C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).353C2^3448,523
(C22×C14).354C23 = D14⋊C47C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).354C2^3448,524
(C22×C14).355C23 = (C2×C4)⋊3D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).355C2^3448,525
(C22×C14).356C23 = (C2×C28).289D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).356C2^3448,526
(C22×C14).357C23 = (C2×C28).290D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).357C2^3448,527
(C22×C14).358C23 = (C2×C4).45D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).358C2^3448,528
(C22×C14).359C23 = C2×C14.C42φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).359C2^3448,742
(C22×C14).360C23 = C4×C23.D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).360C2^3448,743
(C22×C14).361C23 = C24.62D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).361C2^3448,744
(C22×C14).362C23 = C24.63D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).362C2^3448,745
(C22×C14).363C23 = C23.27D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).363C2^3448,746
(C22×C14).364C23 = C23.28D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).364C2^3448,747
(C22×C14).365C23 = C24.18D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).365C2^3448,754
(C22×C14).366C23 = C24.19D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).366C2^3448,755
(C22×C14).367C23 = C24.20D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).367C2^3448,756
(C22×C14).368C23 = C24.21D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).368C2^3448,757
(C22×C14).369C23 = C14.C22≀C2φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).369C2^3448,763
(C22×C14).370C23 = (Q8×C14)⋊7C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).370C2^3448,764
(C22×C14).371C23 = (C22×Q8)⋊D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).371C2^3448,765
(C22×C14).372C23 = C25.D7φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).372C2^3448,781
(C22×C14).373C23 = C2×C4×Dic14φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).373C2^3448,920
(C22×C14).374C23 = C2×C282Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).374C2^3448,921
(C22×C14).375C23 = C2×C28.6Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).375C2^3448,922
(C22×C14).376C23 = C42.274D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).376C2^3448,923
(C22×C14).377C23 = D7×C2×C42φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).377C2^3448,924
(C22×C14).378C23 = C2×C42⋊D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).378C2^3448,925
(C22×C14).379C23 = C2×C4×D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).379C2^3448,926
(C22×C14).380C23 = C4×C4○D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).380C2^3448,927
(C22×C14).381C23 = C2×C284D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).381C2^3448,928
(C22×C14).382C23 = C2×C4.D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).382C2^3448,929
(C22×C14).383C23 = C42.276D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).383C2^3448,930
(C22×C14).384C23 = C2×C422D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).384C2^3448,931
(C22×C14).385C23 = C42.277D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).385C2^3448,932
(C22×C14).386C23 = C2×C23.11D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).386C2^3448,933
(C22×C14).387C23 = C24.27D14φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).387C2^3448,943
(C22×C14).388C23 = C2×Dic7.D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).388C2^3448,944
(C22×C14).389C23 = C2×Dic73Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).389C2^3448,949
(C22×C14).390C23 = C2×C28⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).390C2^3448,950
(C22×C14).391C23 = C2×Dic7.Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).391C2^3448,951
(C22×C14).392C23 = C2×C28.3Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).392C2^3448,952
(C22×C14).393C23 = C14.72+ 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).393C2^3448,953
(C22×C14).394C23 = C2×D7×C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).394C2^3448,954
(C22×C14).395C23 = C2×C4⋊C47D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).395C2^3448,955
(C22×C14).396C23 = C2×D28⋊C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).396C2^3448,956
(C22×C14).397C23 = C14.82+ 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).397C2^3448,957
(C22×C14).398C23 = C2×D14.5D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).398C2^3448,958
(C22×C14).399C23 = C2×C4⋊D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).399C2^3448,959
(C22×C14).400C23 = C14.2- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).400C2^3448,960
(C22×C14).401C23 = C2×D14⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).401C2^3448,961
(C22×C14).402C23 = C2×D142Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).402C2^3448,962
(C22×C14).403C23 = C14.2+ 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).403C2^3448,963
(C22×C14).404C23 = C14.102+ 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).404C2^3448,964
(C22×C14).405C23 = C2×C4⋊C4⋊D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).405C2^3448,965
(C22×C14).406C23 = C14.52- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).406C2^3448,966
(C22×C14).407C23 = C14.112+ 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).407C2^3448,967
(C22×C14).408C23 = C14.62- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).408C2^3448,968
(C22×C14).409C23 = C22×C4×Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).409C2^3448,1235
(C22×C14).410C23 = C22×Dic7⋊C4φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).410C2^3448,1236
(C22×C14).411C23 = C2×C28.48D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).411C2^3448,1237
(C22×C14).412C23 = C22×C4⋊Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).412C2^3448,1238
(C22×C14).413C23 = C2×C23.21D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).413C2^3448,1239
(C22×C14).414C23 = C22×D14⋊C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).414C2^3448,1240
(C22×C14).415C23 = C2×C4×C7⋊D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).415C2^3448,1241
(C22×C14).416C23 = C2×C23.23D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).416C2^3448,1242
(C22×C14).417C23 = C2×C287D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).417C2^3448,1243
(C22×C14).418C23 = C24.72D14φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).418C2^3448,1244
(C22×C14).419C23 = C2×C282D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).419C2^3448,1253
(C22×C14).420C23 = C2×Dic7⋊Q8φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).420C2^3448,1263
(C22×C14).421C23 = C2×Q8×Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).421C2^3448,1264
(C22×C14).422C23 = C14.422- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).422C2^3448,1265
(C22×C14).423C23 = C2×D143Q8φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).423C2^3448,1266
(C22×C14).424C23 = C2×C28.23D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).424C2^3448,1267
(C22×C14).425C23 = Q8×C7⋊D4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).425C2^3448,1268
(C22×C14).426C23 = C14.442- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).426C2^3448,1269
(C22×C14).427C23 = C14.452- 1+4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).427C2^3448,1270
(C22×C14).428C23 = C22×C23.D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).428C2^3448,1292
(C22×C14).429C23 = C2×C24⋊D7φ: C23/C22C2 ⊆ Aut C22×C14112(C2^2xC14).429C2^3448,1293
(C22×C14).430C23 = C23×Dic14φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).430C2^3448,1365
(C22×C14).431C23 = D7×C23×C4φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).431C2^3448,1366
(C22×C14).432C23 = C23×D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).432C2^3448,1367
(C22×C14).433C23 = C22×C4○D28φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).433C2^3448,1368
(C22×C14).434C23 = C22×D42D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).434C2^3448,1370
(C22×C14).435C23 = C22×Q8×D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).435C2^3448,1372
(C22×C14).436C23 = C22×Q82D7φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).436C2^3448,1373
(C22×C14).437C23 = C2×Q8.10D14φ: C23/C22C2 ⊆ Aut C22×C14224(C2^2xC14).437C2^3448,1374
(C22×C14).438C23 = C24×Dic7φ: C23/C22C2 ⊆ Aut C22×C14448(C2^2xC14).438C2^3448,1383
(C22×C14).439C23 = C14×C2.C42central extension (φ=1)448(C2^2xC14).439C2^3448,783
(C22×C14).440C23 = C7×C424C4central extension (φ=1)448(C2^2xC14).440C2^3448,784
(C22×C14).441C23 = C22⋊C4×C28central extension (φ=1)224(C2^2xC14).441C2^3448,785
(C22×C14).442C23 = C4⋊C4×C28central extension (φ=1)448(C2^2xC14).442C2^3448,786
(C22×C14).443C23 = C7×C243C4central extension (φ=1)112(C2^2xC14).443C2^3448,787
(C22×C14).444C23 = C7×C23.7Q8central extension (φ=1)224(C2^2xC14).444C2^3448,788
(C22×C14).445C23 = C7×C23.34D4central extension (φ=1)224(C2^2xC14).445C2^3448,789
(C22×C14).446C23 = C7×C428C4central extension (φ=1)448(C2^2xC14).446C2^3448,790
(C22×C14).447C23 = C7×C425C4central extension (φ=1)448(C2^2xC14).447C2^3448,791
(C22×C14).448C23 = C7×C429C4central extension (φ=1)448(C2^2xC14).448C2^3448,792
(C22×C14).449C23 = C7×C23.8Q8central extension (φ=1)224(C2^2xC14).449C2^3448,793
(C22×C14).450C23 = C7×C23.23D4central extension (φ=1)224(C2^2xC14).450C2^3448,794
(C22×C14).451C23 = C7×C23.63C23central extension (φ=1)448(C2^2xC14).451C2^3448,795
(C22×C14).452C23 = C7×C24.C22central extension (φ=1)224(C2^2xC14).452C2^3448,796
(C22×C14).453C23 = C7×C23.65C23central extension (φ=1)448(C2^2xC14).453C2^3448,797
(C22×C14).454C23 = C7×C24.3C22central extension (φ=1)224(C2^2xC14).454C2^3448,798
(C22×C14).455C23 = C7×C23.67C23central extension (φ=1)448(C2^2xC14).455C2^3448,799
(C22×C14).456C23 = C7×C232D4central extension (φ=1)224(C2^2xC14).456C2^3448,800
(C22×C14).457C23 = C7×C23⋊Q8central extension (φ=1)224(C2^2xC14).457C2^3448,801
(C22×C14).458C23 = C7×C23.10D4central extension (φ=1)224(C2^2xC14).458C2^3448,802
(C22×C14).459C23 = C7×C23.78C23central extension (φ=1)448(C2^2xC14).459C2^3448,803
(C22×C14).460C23 = C7×C23.Q8central extension (φ=1)224(C2^2xC14).460C2^3448,804
(C22×C14).461C23 = C7×C23.11D4central extension (φ=1)224(C2^2xC14).461C2^3448,805
(C22×C14).462C23 = C7×C23.81C23central extension (φ=1)448(C2^2xC14).462C2^3448,806
(C22×C14).463C23 = C7×C23.4Q8central extension (φ=1)224(C2^2xC14).463C2^3448,807
(C22×C14).464C23 = C7×C23.83C23central extension (φ=1)448(C2^2xC14).464C2^3448,808
(C22×C14).465C23 = C7×C23.84C23central extension (φ=1)448(C2^2xC14).465C2^3448,809
(C22×C14).466C23 = C4⋊C4×C2×C14central extension (φ=1)448(C2^2xC14).466C2^3448,1296
(C22×C14).467C23 = C14×C42⋊C2central extension (φ=1)224(C2^2xC14).467C2^3448,1297
(C22×C14).468C23 = Q8×C2×C28central extension (φ=1)448(C2^2xC14).468C2^3448,1299
(C22×C14).469C23 = C14×C42.C2central extension (φ=1)448(C2^2xC14).469C2^3448,1310
(C22×C14).470C23 = C14×C4⋊Q8central extension (φ=1)448(C2^2xC14).470C2^3448,1314
(C22×C14).471C23 = Q8×C22×C14central extension (φ=1)448(C2^2xC14).471C2^3448,1387

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