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

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

Semidirect products G=N:Q with N=C23×C14 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C23×C14)⋊1C22 = C7×C2≀C22φ: C22/C1C22 ⊆ Aut C23×C14564(C2^3xC14):1C2^2448,865
(C23×C14)⋊2C22 = C14×C22≀C2φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):2C2^2448,1304
(C23×C14)⋊3C22 = C7×C233D4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):3C2^2448,1317
(C23×C14)⋊4C22 = C7×D42φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):4C2^2448,1328
(C23×C14)⋊5C22 = C7×C24⋊C22φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):5C2^2448,1344
(C23×C14)⋊6C22 = C14×2+ 1+4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):6C2^2448,1389
(C23×C14)⋊7C22 = C24⋊D14φ: C22/C1C22 ⊆ Aut C23×C14564(C2^3xC14):7C2^2448,566
(C23×C14)⋊8C22 = D7×C22≀C2φ: C22/C1C22 ⊆ Aut C23×C1456(C2^3xC14):8C2^2448,1041
(C23×C14)⋊9C22 = C242D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):9C2^2448,1042
(C23×C14)⋊10C22 = C243D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):10C2^2448,1043
(C23×C14)⋊11C22 = C244D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):11C2^2448,1047
(C23×C14)⋊12C22 = C2×C23⋊D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):12C2^2448,1252
(C23×C14)⋊13C22 = D4×C7⋊D4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):13C2^2448,1254
(C23×C14)⋊14C22 = C247D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):14C2^2448,1257
(C23×C14)⋊15C22 = C22×D4×D7φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):15C2^2448,1369
(C23×C14)⋊16C22 = C2×D46D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14):16C2^2448,1371
(C23×C14)⋊17C22 = D4×C22×C14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14):17C2^2448,1386
(C23×C14)⋊18C22 = C2×C24⋊D7φ: C22/C2C2 ⊆ Aut C23×C14112(C2^3xC14):18C2^2448,1293
(C23×C14)⋊19C22 = C23×C7⋊D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14):19C2^2448,1384
(C23×C14)⋊20C22 = D7×C25φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14):20C2^2448,1395

Non-split extensions G=N.Q with N=C23×C14 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C23×C14).1C22 = C7×C23.9D4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).1C2^2448,146
(C23×C14).2C22 = C7×C24.C22φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).2C2^2448,796
(C23×C14).3C22 = C7×C24.3C22φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).3C2^2448,798
(C23×C14).4C22 = C7×C232D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).4C2^2448,800
(C23×C14).5C22 = C7×C23⋊Q8φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).5C2^2448,801
(C23×C14).6C22 = C7×C23.10D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).6C2^2448,802
(C23×C14).7C22 = C7×C23.Q8φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).7C2^2448,804
(C23×C14).8C22 = C7×C23.11D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).8C2^2448,805
(C23×C14).9C22 = C7×C23.4Q8φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).9C2^2448,807
(C23×C14).10C22 = C14×C23⋊C4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).10C2^2448,817
(C23×C14).11C22 = C7×C22.11C24φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).11C2^2448,1301
(C23×C14).12C22 = C14×C4⋊D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).12C2^2448,1305
(C23×C14).13C22 = C14×C4.4D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).13C2^2448,1309
(C23×C14).14C22 = C14×C422C2φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).14C2^2448,1311
(C23×C14).15C22 = C14×C41D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).15C2^2448,1313
(C23×C14).16C22 = C7×C22.29C24φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).16C2^2448,1318
(C23×C14).17C22 = C7×C22.32C24φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).17C2^2448,1321
(C23×C14).18C22 = C7×C232Q8φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).18C2^2448,1326
(C23×C14).19C22 = C7×D45D4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).19C2^2448,1329
(C23×C14).20C22 = C7×C22.45C24φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).20C2^2448,1334
(C23×C14).21C22 = C7×C22.54C24φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).21C2^2448,1343
(C23×C14).22C22 = C24.D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).22C2^2448,83
(C23×C14).23C22 = C24.2D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).23C2^2448,84
(C23×C14).24C22 = C22⋊C4×Dic7φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).24C2^2448,475
(C23×C14).25C22 = C24.44D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).25C2^2448,476
(C23×C14).26C22 = C23.42D28φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).26C2^2448,477
(C23×C14).27C22 = C24.3D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).27C2^2448,478
(C23×C14).28C22 = C24.4D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).28C2^2448,479
(C23×C14).29C22 = C24.46D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).29C2^2448,480
(C23×C14).30C22 = C23⋊Dic14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).30C2^2448,481
(C23×C14).31C22 = C24.6D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).31C2^2448,482
(C23×C14).32C22 = C24.7D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).32C2^2448,483
(C23×C14).33C22 = C24.47D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).33C2^2448,484
(C23×C14).34C22 = C24.8D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).34C2^2448,485
(C23×C14).35C22 = C24.9D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).35C2^2448,486
(C23×C14).36C22 = C24.10D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).36C2^2448,487
(C23×C14).37C22 = C2×C23.1D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).37C2^2448,488
(C23×C14).38C22 = C23.44D28φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).38C2^2448,489
(C23×C14).39C22 = C24.12D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).39C2^2448,490
(C23×C14).40C22 = C24.13D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).40C2^2448,491
(C23×C14).41C22 = C23.45D28φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).41C2^2448,492
(C23×C14).42C22 = C24.14D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).42C2^2448,493
(C23×C14).43C22 = C232D28φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).43C2^2448,494
(C23×C14).44C22 = C23.16D28φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).44C2^2448,495
(C23×C14).45C22 = C2×C23⋊Dic7φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).45C2^2448,753
(C23×C14).46C22 = C24.18D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).46C2^2448,754
(C23×C14).47C22 = C24.19D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).47C2^2448,755
(C23×C14).48C22 = C24.20D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).48C2^2448,756
(C23×C14).49C22 = C24.21D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).49C2^2448,757
(C23×C14).50C22 = C2×C23.11D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).50C2^2448,933
(C23×C14).51C22 = C2×C22⋊Dic14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).51C2^2448,934
(C23×C14).52C22 = C2×C23.D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).52C2^2448,935
(C23×C14).53C22 = C232Dic14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).53C2^2448,936
(C23×C14).54C22 = C2×D7×C22⋊C4φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).54C2^2448,937
(C23×C14).55C22 = C2×Dic74D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).55C2^2448,938
(C23×C14).56C22 = C24.24D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).56C2^2448,939
(C23×C14).57C22 = C2×C22⋊D28φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).57C2^2448,940
(C23×C14).58C22 = C2×D14.D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).58C2^2448,941
(C23×C14).59C22 = C2×D14⋊D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).59C2^2448,942
(C23×C14).60C22 = C24.27D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).60C2^2448,943
(C23×C14).61C22 = C2×Dic7.D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).61C2^2448,944
(C23×C14).62C22 = C2×C22.D28φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).62C2^2448,945
(C23×C14).63C22 = C233D28φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).63C2^2448,946
(C23×C14).64C22 = C24.30D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).64C2^2448,947
(C23×C14).65C22 = C24.31D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).65C2^2448,948
(C23×C14).66C22 = C24.56D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).66C2^2448,1039
(C23×C14).67C22 = C24.32D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).67C2^2448,1040
(C23×C14).68C22 = C24.33D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).68C2^2448,1044
(C23×C14).69C22 = C24.34D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).69C2^2448,1045
(C23×C14).70C22 = C24.35D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).70C2^2448,1046
(C23×C14).71C22 = C24.36D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).71C2^2448,1048
(C23×C14).72C22 = C2×D4×Dic7φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).72C2^2448,1248
(C23×C14).73C22 = C2×C23.18D14φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).73C2^2448,1249
(C23×C14).74C22 = C2×C28.17D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).74C2^2448,1250
(C23×C14).75C22 = C24.38D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).75C2^2448,1251
(C23×C14).76C22 = C2×C282D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).76C2^2448,1253
(C23×C14).77C22 = C2×Dic7⋊D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).77C2^2448,1255
(C23×C14).78C22 = C2×C28⋊D4φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).78C2^2448,1256
(C23×C14).79C22 = C24.41D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).79C2^2448,1258
(C23×C14).80C22 = C24.42D14φ: C22/C1C22 ⊆ Aut C23×C14112(C2^3xC14).80C2^2448,1259
(C23×C14).81C22 = C22×D42D7φ: C22/C1C22 ⊆ Aut C23×C14224(C2^3xC14).81C2^2448,1370
(C23×C14).82C22 = C22⋊C4×C28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).82C2^2448,785
(C23×C14).83C22 = C7×C243C4φ: C22/C2C2 ⊆ Aut C23×C14112(C2^3xC14).83C2^2448,787
(C23×C14).84C22 = C7×C23.7Q8φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).84C2^2448,788
(C23×C14).85C22 = C7×C23.34D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).85C2^2448,789
(C23×C14).86C22 = C7×C23.8Q8φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).86C2^2448,793
(C23×C14).87C22 = C7×C23.23D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).87C2^2448,794
(C23×C14).88C22 = C22⋊C4×C2×C14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).88C2^2448,1295
(C23×C14).89C22 = C14×C42⋊C2φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).89C2^2448,1297
(C23×C14).90C22 = D4×C2×C28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).90C2^2448,1298
(C23×C14).91C22 = C14×C22⋊Q8φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).91C2^2448,1306
(C23×C14).92C22 = C14×C22.D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).92C2^2448,1307
(C23×C14).93C22 = C7×C22.19C24φ: C22/C2C2 ⊆ Aut C23×C14112(C2^3xC14).93C2^2448,1308
(C23×C14).94C22 = C4○D4×C2×C14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).94C2^2448,1388
(C23×C14).95C22 = C2×C14.C42φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).95C2^2448,742
(C23×C14).96C22 = C4×C23.D7φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).96C2^2448,743
(C23×C14).97C22 = C24.62D14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).97C2^2448,744
(C23×C14).98C22 = C24.63D14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).98C2^2448,745
(C23×C14).99C22 = C23.27D28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).99C2^2448,746
(C23×C14).100C22 = C23.28D28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).100C2^2448,747
(C23×C14).101C22 = C25.D7φ: C22/C2C2 ⊆ Aut C23×C14112(C2^3xC14).101C2^2448,781
(C23×C14).102C22 = C22×C4×Dic7φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).102C2^2448,1235
(C23×C14).103C22 = C22×Dic7⋊C4φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).103C2^2448,1236
(C23×C14).104C22 = C2×C28.48D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).104C2^2448,1237
(C23×C14).105C22 = C22×C4⋊Dic7φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).105C2^2448,1238
(C23×C14).106C22 = C2×C23.21D14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).106C2^2448,1239
(C23×C14).107C22 = C22×D14⋊C4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).107C2^2448,1240
(C23×C14).108C22 = C2×C4×C7⋊D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).108C2^2448,1241
(C23×C14).109C22 = C2×C23.23D14φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).109C2^2448,1242
(C23×C14).110C22 = C2×C287D4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).110C2^2448,1243
(C23×C14).111C22 = C24.72D14φ: C22/C2C2 ⊆ Aut C23×C14112(C2^3xC14).111C2^2448,1244
(C23×C14).112C22 = C22×C23.D7φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).112C2^2448,1292
(C23×C14).113C22 = C23×Dic14φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).113C2^2448,1365
(C23×C14).114C22 = D7×C23×C4φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).114C2^2448,1366
(C23×C14).115C22 = C23×D28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).115C2^2448,1367
(C23×C14).116C22 = C22×C4○D28φ: C22/C2C2 ⊆ Aut C23×C14224(C2^3xC14).116C2^2448,1368
(C23×C14).117C22 = C24×Dic7φ: C22/C2C2 ⊆ Aut C23×C14448(C2^3xC14).117C2^2448,1383
(C23×C14).118C22 = C14×C2.C42central extension (φ=1)448(C2^3xC14).118C2^2448,783
(C23×C14).119C22 = C4⋊C4×C2×C14central extension (φ=1)448(C2^3xC14).119C2^2448,1296
(C23×C14).120C22 = Q8×C22×C14central extension (φ=1)448(C2^3xC14).120C2^2448,1387

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