Extensions 1→N→G→Q→1 with N=C23xD7 and Q=C22

Direct product G=NxQ with N=C23xD7 and Q=C22
dρLabelID
D7xC25224D7xC2^5448,1395

Semidirect products G=N:Q with N=C23xD7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C23xD7):1C22 = C23:D28φ: C22/C1C22 ⊆ Out C23xD7568+(C2^3xD7):1C2^2448,275
(C23xD7):2C22 = 2+ 1+4:2D7φ: C22/C1C22 ⊆ Out C23xD7568+(C2^3xD7):2C2^2448,778
(C23xD7):3C22 = C2xC22:D28φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):3C2^2448,940
(C23xD7):4C22 = C23:3D28φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):4C2^2448,946
(C23xD7):5C22 = D4xD28φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):5C2^2448,1002
(C23xD7):6C22 = C24:2D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):6C2^2448,1042
(C23xD7):7C22 = C24:3D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):7C2^2448,1043
(C23xD7):8C22 = C24:4D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):8C2^2448,1047
(C23xD7):9C22 = C14.372+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):9C2^2448,1058
(C23xD7):10C22 = D28:19D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):10C2^2448,1062
(C23xD7):11C22 = C14.1202+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):11C2^2448,1106
(C23xD7):12C22 = C42:22D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):12C2^2448,1136
(C23xD7):13C22 = D28:11D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):13C2^2448,1170
(C23xD7):14C22 = D4xC7:D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):14C2^2448,1254
(C23xD7):15C22 = C24:7D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):15C2^2448,1257
(C23xD7):16C22 = C2xC24:D7φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):16C2^2448,1293
(C23xD7):17C22 = C2xD4:6D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):17C2^2448,1371
(C23xD7):18C22 = C2xD4:8D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7):18C2^2448,1376
(C23xD7):19C22 = D7x2+ 1+4φ: C22/C1C22 ⊆ Out C23xD7568+(C2^3xD7):19C2^2448,1379
(C23xD7):20C22 = D7xC22wrC2φ: C22/C2C2 ⊆ Out C23xD756(C2^3xD7):20C2^2448,1041
(C23xD7):21C22 = C2xC23:D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7):21C2^2448,1252
(C23xD7):22C22 = C23xD28φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7):22C2^2448,1367
(C23xD7):23C22 = C22xD4xD7φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7):23C2^2448,1369
(C23xD7):24C22 = C23xC7:D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7):24C2^2448,1384

Non-split extensions G=N.Q with N=C23xD7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C23xD7).1C22 = D14:C4:5C4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).1C2^2448,203
(C23xD7).2C22 = C2.(C4xD28)φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).2C2^2448,204
(C23xD7).3C22 = (C2xC28):5D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).3C2^2448,205
(C23xD7).4C22 = (C2xDic7):3D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).4C2^2448,206
(C23xD7).5C22 = (C2xC4).20D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).5C2^2448,207
(C23xD7).6C22 = (C2xC4).21D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).6C2^2448,208
(C23xD7).7C22 = (C22xD7).9D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).7C2^2448,209
(C23xD7).8C22 = (C22xD7).Q8φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).8C2^2448,210
(C23xD7).9C22 = (C2xC28).33D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).9C2^2448,211
(C23xD7).10C22 = D7xC23:C4φ: C22/C1C22 ⊆ Out C23xD7568+(C2^3xD7).10C2^2448,277
(C23xD7).11C22 = (C2xC4):6D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).11C2^2448,473
(C23xD7).12C22 = (C2xC42):D7φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).12C2^2448,474
(C23xD7).13C22 = C24.13D14φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).13C2^2448,491
(C23xD7).14C22 = C23.45D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).14C2^2448,492
(C23xD7).15C22 = C24.14D14φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).15C2^2448,493
(C23xD7).16C22 = C23:2D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).16C2^2448,494
(C23xD7).17C22 = C23.16D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).17C2^2448,495
(C23xD7).18C22 = (C2xD28):10C4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).18C2^2448,522
(C23xD7).19C22 = D14:C4:7C4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).19C2^2448,524
(C23xD7).20C22 = (C2xC4):3D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).20C2^2448,525
(C23xD7).21C22 = (C2xC28).289D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).21C2^2448,526
(C23xD7).22C22 = (C2xC28).290D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).22C2^2448,527
(C23xD7).23C22 = (C2xC4).45D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).23C2^2448,528
(C23xD7).24C22 = C23.28D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).24C2^2448,747
(C23xD7).25C22 = C24.21D14φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).25C2^2448,757
(C23xD7).26C22 = (C22xQ8):D7φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).26C2^2448,765
(C23xD7).27C22 = C2xC28:4D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).27C2^2448,928
(C23xD7).28C22 = C2xC4.D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).28C2^2448,929
(C23xD7).29C22 = C2xC42:2D7φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).29C2^2448,931
(C23xD7).30C22 = C24.24D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).30C2^2448,939
(C23xD7).31C22 = C24.27D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).31C2^2448,943
(C23xD7).32C22 = C2xDic7.D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).32C2^2448,944
(C23xD7).33C22 = C2xC22.D28φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).33C2^2448,945
(C23xD7).34C22 = C2xC4:C4:D7φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).34C2^2448,965
(C23xD7).35C22 = C42:7D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).35C2^2448,974
(C23xD7).36C22 = C42:9D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).36C2^2448,978
(C23xD7).37C22 = C42:10D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).37C2^2448,980
(C23xD7).38C22 = C42:11D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).38C2^2448,998
(C23xD7).39C22 = D28:23D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).39C2^2448,1003
(C23xD7).40C22 = D4:5D28φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).40C2^2448,1007
(C23xD7).41C22 = C42:16D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).41C2^2448,1009
(C23xD7).42C22 = C42:17D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).42C2^2448,1013
(C23xD7).43C22 = C24.33D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).43C2^2448,1044
(C23xD7).44C22 = C24.34D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).44C2^2448,1045
(C23xD7).45C22 = D7xC4:D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).45C2^2448,1057
(C23xD7).46C22 = C14.382+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).46C2^2448,1060
(C23xD7).47C22 = C14.402+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).47C2^2448,1063
(C23xD7).48C22 = D28:20D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).48C2^2448,1065
(C23xD7).49C22 = C14.422+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).49C2^2448,1066
(C23xD7).50C22 = C14.462+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).50C2^2448,1070
(C23xD7).51C22 = C14.482+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).51C2^2448,1073
(C23xD7).52C22 = D28:21D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).52C2^2448,1083
(C23xD7).53C22 = C14.512+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).53C2^2448,1087
(C23xD7).54C22 = C14.532+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).54C2^2448,1090
(C23xD7).55C22 = C14.562+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).55C2^2448,1097
(C23xD7).56C22 = D7xC22.D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).56C2^2448,1105
(C23xD7).57C22 = C14.1212+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).57C2^2448,1107
(C23xD7).58C22 = C14.612+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).58C2^2448,1110
(C23xD7).59C22 = C14.1222+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).59C2^2448,1111
(C23xD7).60C22 = C14.622+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).60C2^2448,1112
(C23xD7).61C22 = C14.682+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).61C2^2448,1119
(C23xD7).62C22 = D7xC4.4D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).62C2^2448,1126
(C23xD7).63C22 = C42:18D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).63C2^2448,1127
(C23xD7).64C22 = D28:10D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).64C2^2448,1129
(C23xD7).65C22 = C42:20D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).65C2^2448,1131
(C23xD7).66C22 = C42:21D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).66C2^2448,1132
(C23xD7).67C22 = D7xC42:2C2φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).67C2^2448,1156
(C23xD7).68C22 = C42:23D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).68C2^2448,1157
(C23xD7).69C22 = C42:24D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).69C2^2448,1158
(C23xD7).70C22 = C42:25D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).70C2^2448,1164
(C23xD7).71C22 = D7xC4:1D4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).71C2^2448,1167
(C23xD7).72C22 = C42:26D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).72C2^2448,1168
(C23xD7).73C22 = C42:28D14φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).73C2^2448,1173
(C23xD7).74C22 = C2xC23.23D14φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).74C2^2448,1242
(C23xD7).75C22 = C2xC28:7D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).75C2^2448,1243
(C23xD7).76C22 = C2xDic7:D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).76C2^2448,1255
(C23xD7).77C22 = C2xC28:D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).77C2^2448,1256
(C23xD7).78C22 = C2xC28.23D4φ: C22/C1C22 ⊆ Out C23xD7224(C2^3xD7).78C2^2448,1267
(C23xD7).79C22 = C14.1452+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).79C2^2448,1282
(C23xD7).80C22 = C14.1462+ 1+4φ: C22/C1C22 ⊆ Out C23xD7112(C2^3xD7).80C2^2448,1283
(C23xD7).81C22 = C22.58(D4xD7)φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).81C2^2448,198
(C23xD7).82C22 = (C2xC4):9D28φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).82C2^2448,199
(C23xD7).83C22 = D14:C42φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).83C2^2448,200
(C23xD7).84C22 = D14:(C4:C4)φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).84C2^2448,201
(C23xD7).85C22 = D14:C4:C4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).85C2^2448,202
(C23xD7).86C22 = C4xD14:C4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).86C2^2448,472
(C23xD7).87C22 = C23.44D28φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).87C2^2448,489
(C23xD7).88C22 = C24.12D14φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).88C2^2448,490
(C23xD7).89C22 = C4:(D14:C4)φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).89C2^2448,521
(C23xD7).90C22 = D14:C4:6C4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).90C2^2448,523
(C23xD7).91C22 = C2xC42:D7φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).91C2^2448,925
(C23xD7).92C22 = C2xC4xD28φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).92C2^2448,926
(C23xD7).93C22 = C2xD7xC22:C4φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).93C2^2448,937
(C23xD7).94C22 = C2xDic7:4D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).94C2^2448,938
(C23xD7).95C22 = C2xD14.D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).95C2^2448,941
(C23xD7).96C22 = C2xD14:D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).96C2^2448,942
(C23xD7).97C22 = C2xC4:C4:7D7φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).97C2^2448,955
(C23xD7).98C22 = C2xD28:C4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).98C2^2448,956
(C23xD7).99C22 = C2xD14.5D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).99C2^2448,958
(C23xD7).100C22 = C2xC4:D28φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).100C2^2448,959
(C23xD7).101C22 = C2xD14:Q8φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).101C2^2448,961
(C23xD7).102C22 = C2xD14:2Q8φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).102C2^2448,962
(C23xD7).103C22 = D7xC42:C2φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).103C2^2448,973
(C23xD7).104C22 = C42:8D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).104C2^2448,977
(C23xD7).105C22 = C4xD4xD7φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).105C2^2448,997
(C23xD7).106C22 = C42:12D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).106C2^2448,1000
(C23xD7).107C22 = C4:C4:21D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).107C2^2448,1059
(C23xD7).108C22 = D7xC22:Q8φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).108C2^2448,1079
(C23xD7).109C22 = C4:C4:26D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).109C2^2448,1080
(C23xD7).110C22 = C4:C4:28D14φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).110C2^2448,1109
(C23xD7).111C22 = C22xD14:C4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).111C2^2448,1240
(C23xD7).112C22 = C2xC4xC7:D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).112C2^2448,1241
(C23xD7).113C22 = C2xC28:2D4φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).113C2^2448,1253
(C23xD7).114C22 = C2xD14:3Q8φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).114C2^2448,1266
(C23xD7).115C22 = (C2xC28):15D4φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).115C2^2448,1281
(C23xD7).116C22 = C22xC4oD28φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).116C2^2448,1368
(C23xD7).117C22 = C22xD4:2D7φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).117C2^2448,1370
(C23xD7).118C22 = C22xQ8:2D7φ: C22/C2C2 ⊆ Out C23xD7224(C2^3xD7).118C2^2448,1373
(C23xD7).119C22 = C2xD7xC4oD4φ: C22/C2C2 ⊆ Out C23xD7112(C2^3xD7).119C2^2448,1375
(C23xD7).120C22 = D7xC2.C42φ: trivial image224(C2^3xD7).120C2^2448,197
(C23xD7).121C22 = D7xC2xC42φ: trivial image224(C2^3xD7).121C2^2448,924
(C23xD7).122C22 = C2xD7xC4:C4φ: trivial image224(C2^3xD7).122C2^2448,954
(C23xD7).123C22 = D7xC23xC4φ: trivial image224(C2^3xD7).123C2^2448,1366
(C23xD7).124C22 = C22xQ8xD7φ: trivial image224(C2^3xD7).124C2^2448,1372

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