# Extensions 1→N→G→Q→1 with N=C23×D7 and Q=C22

Direct product G=N×Q with N=C23×D7 and Q=C22
dρLabelID
D7×C25224D7xC2^5448,1395

Semidirect products G=N:Q with N=C23×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C23×D7)⋊1C22 = C23⋊D28φ: C22/C1C22 ⊆ Out C23×D7568+(C2^3xD7):1C2^2448,275
(C23×D7)⋊2C22 = 2+ 1+42D7φ: C22/C1C22 ⊆ Out C23×D7568+(C2^3xD7):2C2^2448,778
(C23×D7)⋊3C22 = C2×C22⋊D28φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):3C2^2448,940
(C23×D7)⋊4C22 = C233D28φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):4C2^2448,946
(C23×D7)⋊5C22 = D4×D28φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):5C2^2448,1002
(C23×D7)⋊6C22 = C242D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):6C2^2448,1042
(C23×D7)⋊7C22 = C243D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):7C2^2448,1043
(C23×D7)⋊8C22 = C244D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):8C2^2448,1047
(C23×D7)⋊9C22 = C14.372+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):9C2^2448,1058
(C23×D7)⋊10C22 = D2819D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):10C2^2448,1062
(C23×D7)⋊11C22 = C14.1202+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):11C2^2448,1106
(C23×D7)⋊12C22 = C4222D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):12C2^2448,1136
(C23×D7)⋊13C22 = D2811D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):13C2^2448,1170
(C23×D7)⋊14C22 = D4×C7⋊D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):14C2^2448,1254
(C23×D7)⋊15C22 = C247D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):15C2^2448,1257
(C23×D7)⋊16C22 = C2×C24⋊D7φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):16C2^2448,1293
(C23×D7)⋊17C22 = C2×D46D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):17C2^2448,1371
(C23×D7)⋊18C22 = C2×D48D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7):18C2^2448,1376
(C23×D7)⋊19C22 = D7×2+ 1+4φ: C22/C1C22 ⊆ Out C23×D7568+(C2^3xD7):19C2^2448,1379
(C23×D7)⋊20C22 = D7×C22≀C2φ: C22/C2C2 ⊆ Out C23×D756(C2^3xD7):20C2^2448,1041
(C23×D7)⋊21C22 = C2×C23⋊D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7):21C2^2448,1252
(C23×D7)⋊22C22 = C23×D28φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7):22C2^2448,1367
(C23×D7)⋊23C22 = C22×D4×D7φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7):23C2^2448,1369
(C23×D7)⋊24C22 = C23×C7⋊D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7):24C2^2448,1384

Non-split extensions G=N.Q with N=C23×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C23×D7).1C22 = D14⋊C45C4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).1C2^2448,203
(C23×D7).2C22 = C2.(C4×D28)φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).2C2^2448,204
(C23×D7).3C22 = (C2×C28)⋊5D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).3C2^2448,205
(C23×D7).4C22 = (C2×Dic7)⋊3D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).4C2^2448,206
(C23×D7).5C22 = (C2×C4).20D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).5C2^2448,207
(C23×D7).6C22 = (C2×C4).21D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).6C2^2448,208
(C23×D7).7C22 = (C22×D7).9D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).7C2^2448,209
(C23×D7).8C22 = (C22×D7).Q8φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).8C2^2448,210
(C23×D7).9C22 = (C2×C28).33D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).9C2^2448,211
(C23×D7).10C22 = D7×C23⋊C4φ: C22/C1C22 ⊆ Out C23×D7568+(C2^3xD7).10C2^2448,277
(C23×D7).11C22 = (C2×C4)⋊6D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).11C2^2448,473
(C23×D7).12C22 = (C2×C42)⋊D7φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).12C2^2448,474
(C23×D7).13C22 = C24.13D14φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).13C2^2448,491
(C23×D7).14C22 = C23.45D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).14C2^2448,492
(C23×D7).15C22 = C24.14D14φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).15C2^2448,493
(C23×D7).16C22 = C232D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).16C2^2448,494
(C23×D7).17C22 = C23.16D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).17C2^2448,495
(C23×D7).18C22 = (C2×D28)⋊10C4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).18C2^2448,522
(C23×D7).19C22 = D14⋊C47C4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).19C2^2448,524
(C23×D7).20C22 = (C2×C4)⋊3D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).20C2^2448,525
(C23×D7).21C22 = (C2×C28).289D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).21C2^2448,526
(C23×D7).22C22 = (C2×C28).290D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).22C2^2448,527
(C23×D7).23C22 = (C2×C4).45D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).23C2^2448,528
(C23×D7).24C22 = C23.28D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).24C2^2448,747
(C23×D7).25C22 = C24.21D14φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).25C2^2448,757
(C23×D7).26C22 = (C22×Q8)⋊D7φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).26C2^2448,765
(C23×D7).27C22 = C2×C284D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).27C2^2448,928
(C23×D7).28C22 = C2×C4.D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).28C2^2448,929
(C23×D7).29C22 = C2×C422D7φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).29C2^2448,931
(C23×D7).30C22 = C24.24D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).30C2^2448,939
(C23×D7).31C22 = C24.27D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).31C2^2448,943
(C23×D7).32C22 = C2×Dic7.D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).32C2^2448,944
(C23×D7).33C22 = C2×C22.D28φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).33C2^2448,945
(C23×D7).34C22 = C2×C4⋊C4⋊D7φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).34C2^2448,965
(C23×D7).35C22 = C427D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).35C2^2448,974
(C23×D7).36C22 = C429D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).36C2^2448,978
(C23×D7).37C22 = C4210D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).37C2^2448,980
(C23×D7).38C22 = C4211D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).38C2^2448,998
(C23×D7).39C22 = D2823D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).39C2^2448,1003
(C23×D7).40C22 = D45D28φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).40C2^2448,1007
(C23×D7).41C22 = C4216D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).41C2^2448,1009
(C23×D7).42C22 = C4217D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).42C2^2448,1013
(C23×D7).43C22 = C24.33D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).43C2^2448,1044
(C23×D7).44C22 = C24.34D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).44C2^2448,1045
(C23×D7).45C22 = D7×C4⋊D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).45C2^2448,1057
(C23×D7).46C22 = C14.382+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).46C2^2448,1060
(C23×D7).47C22 = C14.402+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).47C2^2448,1063
(C23×D7).48C22 = D2820D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).48C2^2448,1065
(C23×D7).49C22 = C14.422+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).49C2^2448,1066
(C23×D7).50C22 = C14.462+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).50C2^2448,1070
(C23×D7).51C22 = C14.482+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).51C2^2448,1073
(C23×D7).52C22 = D2821D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).52C2^2448,1083
(C23×D7).53C22 = C14.512+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).53C2^2448,1087
(C23×D7).54C22 = C14.532+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).54C2^2448,1090
(C23×D7).55C22 = C14.562+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).55C2^2448,1097
(C23×D7).56C22 = D7×C22.D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).56C2^2448,1105
(C23×D7).57C22 = C14.1212+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).57C2^2448,1107
(C23×D7).58C22 = C14.612+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).58C2^2448,1110
(C23×D7).59C22 = C14.1222+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).59C2^2448,1111
(C23×D7).60C22 = C14.622+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).60C2^2448,1112
(C23×D7).61C22 = C14.682+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).61C2^2448,1119
(C23×D7).62C22 = D7×C4.4D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).62C2^2448,1126
(C23×D7).63C22 = C4218D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).63C2^2448,1127
(C23×D7).64C22 = D2810D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).64C2^2448,1129
(C23×D7).65C22 = C4220D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).65C2^2448,1131
(C23×D7).66C22 = C4221D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).66C2^2448,1132
(C23×D7).67C22 = D7×C422C2φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).67C2^2448,1156
(C23×D7).68C22 = C4223D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).68C2^2448,1157
(C23×D7).69C22 = C4224D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).69C2^2448,1158
(C23×D7).70C22 = C4225D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).70C2^2448,1164
(C23×D7).71C22 = D7×C41D4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).71C2^2448,1167
(C23×D7).72C22 = C4226D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).72C2^2448,1168
(C23×D7).73C22 = C4228D14φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).73C2^2448,1173
(C23×D7).74C22 = C2×C23.23D14φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).74C2^2448,1242
(C23×D7).75C22 = C2×C287D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).75C2^2448,1243
(C23×D7).76C22 = C2×Dic7⋊D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).76C2^2448,1255
(C23×D7).77C22 = C2×C28⋊D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).77C2^2448,1256
(C23×D7).78C22 = C2×C28.23D4φ: C22/C1C22 ⊆ Out C23×D7224(C2^3xD7).78C2^2448,1267
(C23×D7).79C22 = C14.1452+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).79C2^2448,1282
(C23×D7).80C22 = C14.1462+ 1+4φ: C22/C1C22 ⊆ Out C23×D7112(C2^3xD7).80C2^2448,1283
(C23×D7).81C22 = C22.58(D4×D7)φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).81C2^2448,198
(C23×D7).82C22 = (C2×C4)⋊9D28φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).82C2^2448,199
(C23×D7).83C22 = D14⋊C42φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).83C2^2448,200
(C23×D7).84C22 = D14⋊(C4⋊C4)φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).84C2^2448,201
(C23×D7).85C22 = D14⋊C4⋊C4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).85C2^2448,202
(C23×D7).86C22 = C4×D14⋊C4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).86C2^2448,472
(C23×D7).87C22 = C23.44D28φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).87C2^2448,489
(C23×D7).88C22 = C24.12D14φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).88C2^2448,490
(C23×D7).89C22 = C4⋊(D14⋊C4)φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).89C2^2448,521
(C23×D7).90C22 = D14⋊C46C4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).90C2^2448,523
(C23×D7).91C22 = C2×C42⋊D7φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).91C2^2448,925
(C23×D7).92C22 = C2×C4×D28φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).92C2^2448,926
(C23×D7).93C22 = C2×D7×C22⋊C4φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).93C2^2448,937
(C23×D7).94C22 = C2×Dic74D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).94C2^2448,938
(C23×D7).95C22 = C2×D14.D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).95C2^2448,941
(C23×D7).96C22 = C2×D14⋊D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).96C2^2448,942
(C23×D7).97C22 = C2×C4⋊C47D7φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).97C2^2448,955
(C23×D7).98C22 = C2×D28⋊C4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).98C2^2448,956
(C23×D7).99C22 = C2×D14.5D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).99C2^2448,958
(C23×D7).100C22 = C2×C4⋊D28φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).100C2^2448,959
(C23×D7).101C22 = C2×D14⋊Q8φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).101C2^2448,961
(C23×D7).102C22 = C2×D142Q8φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).102C2^2448,962
(C23×D7).103C22 = D7×C42⋊C2φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).103C2^2448,973
(C23×D7).104C22 = C428D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).104C2^2448,977
(C23×D7).105C22 = C4×D4×D7φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).105C2^2448,997
(C23×D7).106C22 = C4212D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).106C2^2448,1000
(C23×D7).107C22 = C4⋊C421D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).107C2^2448,1059
(C23×D7).108C22 = D7×C22⋊Q8φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).108C2^2448,1079
(C23×D7).109C22 = C4⋊C426D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).109C2^2448,1080
(C23×D7).110C22 = C4⋊C428D14φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).110C2^2448,1109
(C23×D7).111C22 = C22×D14⋊C4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).111C2^2448,1240
(C23×D7).112C22 = C2×C4×C7⋊D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).112C2^2448,1241
(C23×D7).113C22 = C2×C282D4φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).113C2^2448,1253
(C23×D7).114C22 = C2×D143Q8φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).114C2^2448,1266
(C23×D7).115C22 = (C2×C28)⋊15D4φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).115C2^2448,1281
(C23×D7).116C22 = C22×C4○D28φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).116C2^2448,1368
(C23×D7).117C22 = C22×D42D7φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).117C2^2448,1370
(C23×D7).118C22 = C22×Q82D7φ: C22/C2C2 ⊆ Out C23×D7224(C2^3xD7).118C2^2448,1373
(C23×D7).119C22 = C2×D7×C4○D4φ: C22/C2C2 ⊆ Out C23×D7112(C2^3xD7).119C2^2448,1375
(C23×D7).120C22 = D7×C2.C42φ: trivial image224(C2^3xD7).120C2^2448,197
(C23×D7).121C22 = D7×C2×C42φ: trivial image224(C2^3xD7).121C2^2448,924
(C23×D7).122C22 = C2×D7×C4⋊C4φ: trivial image224(C2^3xD7).122C2^2448,954
(C23×D7).123C22 = D7×C23×C4φ: trivial image224(C2^3xD7).123C2^2448,1366
(C23×D7).124C22 = C22×Q8×D7φ: trivial image224(C2^3xD7).124C2^2448,1372

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