# Extensions 1→N→G→Q→1 with N=C28 and Q=C24

Direct product G=N×Q with N=C28 and Q=C24
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C28 and Q=C24
extensionφ:Q→Aut NdρLabelID
C28⋊C24 = C22×D4×D7φ: C24/C22C22 ⊆ Aut C28112C28:C2^4448,1369
C282C24 = C23×D28φ: C24/C23C2 ⊆ Aut C28224C28:2C2^4448,1367
C283C24 = D7×C23×C4φ: C24/C23C2 ⊆ Aut C28224C28:3C2^4448,1366
C284C24 = D4×C22×C14φ: C24/C23C2 ⊆ Aut C28224C28:4C2^4448,1386

Non-split extensions G=N.Q with N=C28 and Q=C24
extensionφ:Q→Aut NdρLabelID
C28.1C24 = C2×D7×D8φ: C24/C22C22 ⊆ Aut C28112C28.1C2^4448,1207
C28.2C24 = C2×D8⋊D7φ: C24/C22C22 ⊆ Aut C28112C28.2C2^4448,1208
C28.3C24 = C2×D83D7φ: C24/C22C22 ⊆ Aut C28224C28.3C2^4448,1209
C28.4C24 = D813D14φ: C24/C22C22 ⊆ Aut C281124C28.4C2^4448,1210
C28.5C24 = C2×D7×SD16φ: C24/C22C22 ⊆ Aut C28112C28.5C2^4448,1211
C28.6C24 = C2×D56⋊C2φ: C24/C22C22 ⊆ Aut C28112C28.6C2^4448,1212
C28.7C24 = C2×SD16⋊D7φ: C24/C22C22 ⊆ Aut C28224C28.7C2^4448,1213
C28.8C24 = C2×SD163D7φ: C24/C22C22 ⊆ Aut C28224C28.8C2^4448,1214
C28.9C24 = D28.29D4φ: C24/C22C22 ⊆ Aut C281124C28.9C2^4448,1215
C28.10C24 = C2×D7×Q16φ: C24/C22C22 ⊆ Aut C28224C28.10C2^4448,1216
C28.11C24 = C2×Q16⋊D7φ: C24/C22C22 ⊆ Aut C28224C28.11C2^4448,1217
C28.12C24 = C2×Q8.D14φ: C24/C22C22 ⊆ Aut C28224C28.12C2^4448,1218
C28.13C24 = D28.30D4φ: C24/C22C22 ⊆ Aut C282244C28.13C2^4448,1219
C28.14C24 = D7×C4○D8φ: C24/C22C22 ⊆ Aut C281124C28.14C2^4448,1220
C28.15C24 = D810D14φ: C24/C22C22 ⊆ Aut C281124C28.15C2^4448,1221
C28.16C24 = D815D14φ: C24/C22C22 ⊆ Aut C281124+C28.16C2^4448,1222
C28.17C24 = D811D14φ: C24/C22C22 ⊆ Aut C281124C28.17C2^4448,1223
C28.18C24 = D8.10D14φ: C24/C22C22 ⊆ Aut C282244-C28.18C2^4448,1224
C28.19C24 = D7×C8⋊C22φ: C24/C22C22 ⊆ Aut C28568+C28.19C2^4448,1225
C28.20C24 = SD16⋊D14φ: C24/C22C22 ⊆ Aut C281128-C28.20C2^4448,1226
C28.21C24 = D85D14φ: C24/C22C22 ⊆ Aut C281128+C28.21C2^4448,1227
C28.22C24 = D86D14φ: C24/C22C22 ⊆ Aut C281128-C28.22C2^4448,1228
C28.23C24 = D7×C8.C22φ: C24/C22C22 ⊆ Aut C281128-C28.23C2^4448,1229
C28.24C24 = D56⋊C22φ: C24/C22C22 ⊆ Aut C281128+C28.24C2^4448,1230
C28.25C24 = C56.C23φ: C24/C22C22 ⊆ Aut C281128+C28.25C2^4448,1231
C28.26C24 = D28.44D4φ: C24/C22C22 ⊆ Aut C282248-C28.26C2^4448,1232
C28.27C24 = C22×D4⋊D7φ: C24/C22C22 ⊆ Aut C28224C28.27C2^4448,1245
C28.28C24 = C2×D4.D14φ: C24/C22C22 ⊆ Aut C28112C28.28C2^4448,1246
C28.29C24 = C22×D4.D7φ: C24/C22C22 ⊆ Aut C28224C28.29C2^4448,1247
C28.30C24 = C22×Q8⋊D7φ: C24/C22C22 ⊆ Aut C28224C28.30C2^4448,1260
C28.31C24 = C2×C28.C23φ: C24/C22C22 ⊆ Aut C28224C28.31C2^4448,1261
C28.32C24 = C22×C7⋊Q16φ: C24/C22C22 ⊆ Aut C28448C28.32C2^4448,1262
C28.33C24 = C2×D4⋊D14φ: C24/C22C22 ⊆ Aut C28112C28.33C2^4448,1273
C28.34C24 = C2×D4.8D14φ: C24/C22C22 ⊆ Aut C28224C28.34C2^4448,1274
C28.35C24 = C28.C24φ: C24/C22C22 ⊆ Aut C281124C28.35C2^4448,1275
C28.36C24 = C2×D4.9D14φ: C24/C22C22 ⊆ Aut C28224C28.36C2^4448,1276
C28.37C24 = D28.32C23φ: C24/C22C22 ⊆ Aut C281128+C28.37C2^4448,1288
C28.38C24 = D28.33C23φ: C24/C22C22 ⊆ Aut C281128-C28.38C2^4448,1289
C28.39C24 = D28.34C23φ: C24/C22C22 ⊆ Aut C281128+C28.39C2^4448,1290
C28.40C24 = D28.35C23φ: C24/C22C22 ⊆ Aut C282248-C28.40C2^4448,1291
C28.41C24 = C22×D42D7φ: C24/C22C22 ⊆ Aut C28224C28.41C2^4448,1370
C28.42C24 = C2×D46D14φ: C24/C22C22 ⊆ Aut C28112C28.42C2^4448,1371
C28.43C24 = C22×Q8×D7φ: C24/C22C22 ⊆ Aut C28224C28.43C2^4448,1372
C28.44C24 = C22×Q82D7φ: C24/C22C22 ⊆ Aut C28224C28.44C2^4448,1373
C28.45C24 = C2×Q8.10D14φ: C24/C22C22 ⊆ Aut C28224C28.45C2^4448,1374
C28.46C24 = C2×D7×C4○D4φ: C24/C22C22 ⊆ Aut C28112C28.46C2^4448,1375
C28.47C24 = C2×D48D14φ: C24/C22C22 ⊆ Aut C28112C28.47C2^4448,1376
C28.48C24 = C2×D4.10D14φ: C24/C22C22 ⊆ Aut C28224C28.48C2^4448,1377
C28.49C24 = C14.C25φ: C24/C22C22 ⊆ Aut C281124C28.49C2^4448,1378
C28.50C24 = D7×2+ 1+4φ: C24/C22C22 ⊆ Aut C28568+C28.50C2^4448,1379
C28.51C24 = D14.C24φ: C24/C22C22 ⊆ Aut C281128-C28.51C2^4448,1380
C28.52C24 = D7×2- 1+4φ: C24/C22C22 ⊆ Aut C281128-C28.52C2^4448,1381
C28.53C24 = D28.39C23φ: C24/C22C22 ⊆ Aut C281128+C28.53C2^4448,1382
C28.54C24 = C22×C56⋊C2φ: C24/C23C2 ⊆ Aut C28224C28.54C2^4448,1192
C28.55C24 = C22×D56φ: C24/C23C2 ⊆ Aut C28224C28.55C2^4448,1193
C28.56C24 = C2×D567C2φ: C24/C23C2 ⊆ Aut C28224C28.56C2^4448,1194
C28.57C24 = C22×Dic28φ: C24/C23C2 ⊆ Aut C28448C28.57C2^4448,1195
C28.58C24 = C2×C8⋊D14φ: C24/C23C2 ⊆ Aut C28112C28.58C2^4448,1199
C28.59C24 = C2×C8.D14φ: C24/C23C2 ⊆ Aut C28224C28.59C2^4448,1200
C28.60C24 = C56.9C23φ: C24/C23C2 ⊆ Aut C281124C28.60C2^4448,1201
C28.61C24 = D4.11D28φ: C24/C23C2 ⊆ Aut C281124C28.61C2^4448,1204
C28.62C24 = D4.12D28φ: C24/C23C2 ⊆ Aut C281124+C28.62C2^4448,1205
C28.63C24 = D4.13D28φ: C24/C23C2 ⊆ Aut C282244-C28.63C2^4448,1206
C28.64C24 = C23×Dic14φ: C24/C23C2 ⊆ Aut C28448C28.64C2^4448,1365
C28.65C24 = D7×C22×C8φ: C24/C23C2 ⊆ Aut C28224C28.65C2^4448,1189
C28.66C24 = C22×C8⋊D7φ: C24/C23C2 ⊆ Aut C28224C28.66C2^4448,1190
C28.67C24 = C2×D28.2C4φ: C24/C23C2 ⊆ Aut C28224C28.67C2^4448,1191
C28.68C24 = C2×D7×M4(2)φ: C24/C23C2 ⊆ Aut C28112C28.68C2^4448,1196
C28.69C24 = C2×D28.C4φ: C24/C23C2 ⊆ Aut C28224C28.69C2^4448,1197
C28.70C24 = C28.70C24φ: C24/C23C2 ⊆ Aut C281124C28.70C2^4448,1198
C28.71C24 = D7×C8○D4φ: C24/C23C2 ⊆ Aut C281124C28.71C2^4448,1202
C28.72C24 = C56.49C23φ: C24/C23C2 ⊆ Aut C281124C28.72C2^4448,1203
C28.73C24 = C23×C7⋊C8φ: C24/C23C2 ⊆ Aut C28448C28.73C2^4448,1233
C28.74C24 = C22×C4.Dic7φ: C24/C23C2 ⊆ Aut C28224C28.74C2^4448,1234
C28.75C24 = C2×Q8.Dic7φ: C24/C23C2 ⊆ Aut C28224C28.75C2^4448,1271
C28.76C24 = C28.76C24φ: C24/C23C2 ⊆ Aut C281124C28.76C2^4448,1272
C28.77C24 = C22×C4○D28φ: C24/C23C2 ⊆ Aut C28224C28.77C2^4448,1368
C28.78C24 = D8×C2×C14φ: C24/C23C2 ⊆ Aut C28224C28.78C2^4448,1352
C28.79C24 = SD16×C2×C14φ: C24/C23C2 ⊆ Aut C28224C28.79C2^4448,1353
C28.80C24 = Q16×C2×C14φ: C24/C23C2 ⊆ Aut C28448C28.80C2^4448,1354
C28.81C24 = C14×C4○D8φ: C24/C23C2 ⊆ Aut C28224C28.81C2^4448,1355
C28.82C24 = C14×C8⋊C22φ: C24/C23C2 ⊆ Aut C28112C28.82C2^4448,1356
C28.83C24 = C14×C8.C22φ: C24/C23C2 ⊆ Aut C28224C28.83C2^4448,1357
C28.84C24 = C7×D8⋊C22φ: C24/C23C2 ⊆ Aut C281124C28.84C2^4448,1358
C28.85C24 = C7×D4○D8φ: C24/C23C2 ⊆ Aut C281124C28.85C2^4448,1359
C28.86C24 = C7×D4○SD16φ: C24/C23C2 ⊆ Aut C281124C28.86C2^4448,1360
C28.87C24 = C7×Q8○D8φ: C24/C23C2 ⊆ Aut C282244C28.87C2^4448,1361
C28.88C24 = Q8×C22×C14φ: C24/C23C2 ⊆ Aut C28448C28.88C2^4448,1387
C28.89C24 = C4○D4×C2×C14φ: C24/C23C2 ⊆ Aut C28224C28.89C2^4448,1388
C28.90C24 = C14×2+ 1+4φ: C24/C23C2 ⊆ Aut C28112C28.90C2^4448,1389
C28.91C24 = C14×2- 1+4φ: C24/C23C2 ⊆ Aut C28224C28.91C2^4448,1390
C28.92C24 = M4(2)×C2×C14central extension (φ=1)224C28.92C2^4448,1349
C28.93C24 = C14×C8○D4central extension (φ=1)224C28.93C2^4448,1350
C28.94C24 = C7×Q8○M4(2)central extension (φ=1)1124C28.94C2^4448,1351
C28.95C24 = C7×C2.C25central extension (φ=1)1124C28.95C2^4448,1391

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