# Extensions 1→N→G→Q→1 with N=C12 and Q=C24

Direct product G=N×Q with N=C12 and Q=C24
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C12 and Q=C24
extensionφ:Q→Aut NdρLabelID
C12⋊C24 = C22×S3×D4φ: C24/C22C22 ⊆ Aut C1248C12:C2^4192,1514
C122C24 = C23×D12φ: C24/C23C2 ⊆ Aut C1296C12:2C2^4192,1512
C123C24 = S3×C23×C4φ: C24/C23C2 ⊆ Aut C1296C12:3C2^4192,1511
C124C24 = D4×C22×C6φ: C24/C23C2 ⊆ Aut C1296C12:4C2^4192,1531

Non-split extensions G=N.Q with N=C12 and Q=C24
extensionφ:Q→Aut NdρLabelID
C12.1C24 = C2×S3×D8φ: C24/C22C22 ⊆ Aut C1248C12.1C2^4192,1313
C12.2C24 = C2×D8⋊S3φ: C24/C22C22 ⊆ Aut C1248C12.2C2^4192,1314
C12.3C24 = C2×D83S3φ: C24/C22C22 ⊆ Aut C1296C12.3C2^4192,1315
C12.4C24 = D813D6φ: C24/C22C22 ⊆ Aut C12484C12.4C2^4192,1316
C12.5C24 = C2×S3×SD16φ: C24/C22C22 ⊆ Aut C1248C12.5C2^4192,1317
C12.6C24 = C2×Q83D6φ: C24/C22C22 ⊆ Aut C1248C12.6C2^4192,1318
C12.7C24 = C2×D4.D6φ: C24/C22C22 ⊆ Aut C1296C12.7C2^4192,1319
C12.8C24 = C2×Q8.7D6φ: C24/C22C22 ⊆ Aut C1296C12.8C2^4192,1320
C12.9C24 = SD1613D6φ: C24/C22C22 ⊆ Aut C12484C12.9C2^4192,1321
C12.10C24 = C2×S3×Q16φ: C24/C22C22 ⊆ Aut C1296C12.10C2^4192,1322
C12.11C24 = C2×Q16⋊S3φ: C24/C22C22 ⊆ Aut C1296C12.11C2^4192,1323
C12.12C24 = C2×D24⋊C2φ: C24/C22C22 ⊆ Aut C1296C12.12C2^4192,1324
C12.13C24 = D12.30D4φ: C24/C22C22 ⊆ Aut C12964C12.13C2^4192,1325
C12.14C24 = S3×C4○D8φ: C24/C22C22 ⊆ Aut C12484C12.14C2^4192,1326
C12.15C24 = SD16⋊D6φ: C24/C22C22 ⊆ Aut C12484C12.15C2^4192,1327
C12.16C24 = D815D6φ: C24/C22C22 ⊆ Aut C12484+C12.16C2^4192,1328
C12.17C24 = D811D6φ: C24/C22C22 ⊆ Aut C12484C12.17C2^4192,1329
C12.18C24 = D8.10D6φ: C24/C22C22 ⊆ Aut C12964-C12.18C2^4192,1330
C12.19C24 = S3×C8⋊C22φ: C24/C22C22 ⊆ Aut C12248+C12.19C2^4192,1331
C12.20C24 = D84D6φ: C24/C22C22 ⊆ Aut C12488-C12.20C2^4192,1332
C12.21C24 = D85D6φ: C24/C22C22 ⊆ Aut C12488+C12.21C2^4192,1333
C12.22C24 = D86D6φ: C24/C22C22 ⊆ Aut C12488-C12.22C2^4192,1334
C12.23C24 = S3×C8.C22φ: C24/C22C22 ⊆ Aut C12488-C12.23C2^4192,1335
C12.24C24 = D24⋊C22φ: C24/C22C22 ⊆ Aut C12488+C12.24C2^4192,1336
C12.25C24 = C24.C23φ: C24/C22C22 ⊆ Aut C12488+C12.25C2^4192,1337
C12.26C24 = SD16.D6φ: C24/C22C22 ⊆ Aut C12968-C12.26C2^4192,1338
C12.27C24 = C22×D4⋊S3φ: C24/C22C22 ⊆ Aut C1296C12.27C2^4192,1351
C12.28C24 = C2×D126C22φ: C24/C22C22 ⊆ Aut C1248C12.28C2^4192,1352
C12.29C24 = C22×D4.S3φ: C24/C22C22 ⊆ Aut C1296C12.29C2^4192,1353
C12.30C24 = C22×Q82S3φ: C24/C22C22 ⊆ Aut C1296C12.30C2^4192,1366
C12.31C24 = C2×Q8.11D6φ: C24/C22C22 ⊆ Aut C1296C12.31C2^4192,1367
C12.32C24 = C22×C3⋊Q16φ: C24/C22C22 ⊆ Aut C12192C12.32C2^4192,1368
C12.33C24 = C2×D4⋊D6φ: C24/C22C22 ⊆ Aut C1248C12.33C2^4192,1379
C12.34C24 = C2×Q8.13D6φ: C24/C22C22 ⊆ Aut C1296C12.34C2^4192,1380
C12.35C24 = C12.C24φ: C24/C22C22 ⊆ Aut C12484C12.35C2^4192,1381
C12.36C24 = C2×Q8.14D6φ: C24/C22C22 ⊆ Aut C1296C12.36C2^4192,1382
C12.37C24 = D12.32C23φ: C24/C22C22 ⊆ Aut C12488+C12.37C2^4192,1394
C12.38C24 = D12.33C23φ: C24/C22C22 ⊆ Aut C12488-C12.38C2^4192,1395
C12.39C24 = D12.34C23φ: C24/C22C22 ⊆ Aut C12488+C12.39C2^4192,1396
C12.40C24 = D12.35C23φ: C24/C22C22 ⊆ Aut C12968-C12.40C2^4192,1397
C12.41C24 = C22×D42S3φ: C24/C22C22 ⊆ Aut C1296C12.41C2^4192,1515
C12.42C24 = C2×D46D6φ: C24/C22C22 ⊆ Aut C1248C12.42C2^4192,1516
C12.43C24 = C22×S3×Q8φ: C24/C22C22 ⊆ Aut C1296C12.43C2^4192,1517
C12.44C24 = C22×Q83S3φ: C24/C22C22 ⊆ Aut C1296C12.44C2^4192,1518
C12.45C24 = C2×Q8.15D6φ: C24/C22C22 ⊆ Aut C1296C12.45C2^4192,1519
C12.46C24 = C2×S3×C4○D4φ: C24/C22C22 ⊆ Aut C1248C12.46C2^4192,1520
C12.47C24 = C2×D4○D12φ: C24/C22C22 ⊆ Aut C1248C12.47C2^4192,1521
C12.48C24 = C2×Q8○D12φ: C24/C22C22 ⊆ Aut C1296C12.48C2^4192,1522
C12.49C24 = C6.C25φ: C24/C22C22 ⊆ Aut C12484C12.49C2^4192,1523
C12.50C24 = S3×2+ 1+4φ: C24/C22C22 ⊆ Aut C12248+C12.50C2^4192,1524
C12.51C24 = D6.C24φ: C24/C22C22 ⊆ Aut C12488-C12.51C2^4192,1525
C12.52C24 = S3×2- 1+4φ: C24/C22C22 ⊆ Aut C12488-C12.52C2^4192,1526
C12.53C24 = D12.39C23φ: C24/C22C22 ⊆ Aut C12488+C12.53C2^4192,1527
C12.54C24 = C22×C24⋊C2φ: C24/C23C2 ⊆ Aut C1296C12.54C2^4192,1298
C12.55C24 = C22×D24φ: C24/C23C2 ⊆ Aut C1296C12.55C2^4192,1299
C12.56C24 = C2×C4○D24φ: C24/C23C2 ⊆ Aut C1296C12.56C2^4192,1300
C12.57C24 = C22×Dic12φ: C24/C23C2 ⊆ Aut C12192C12.57C2^4192,1301
C12.58C24 = C2×C8⋊D6φ: C24/C23C2 ⊆ Aut C1248C12.58C2^4192,1305
C12.59C24 = C2×C8.D6φ: C24/C23C2 ⊆ Aut C1296C12.59C2^4192,1306
C12.60C24 = C24.9C23φ: C24/C23C2 ⊆ Aut C12484C12.60C2^4192,1307
C12.61C24 = D4.11D12φ: C24/C23C2 ⊆ Aut C12484C12.61C2^4192,1310
C12.62C24 = D4.12D12φ: C24/C23C2 ⊆ Aut C12484+C12.62C2^4192,1311
C12.63C24 = D4.13D12φ: C24/C23C2 ⊆ Aut C12964-C12.63C2^4192,1312
C12.64C24 = C23×Dic6φ: C24/C23C2 ⊆ Aut C12192C12.64C2^4192,1510
C12.65C24 = S3×C22×C8φ: C24/C23C2 ⊆ Aut C1296C12.65C2^4192,1295
C12.66C24 = C22×C8⋊S3φ: C24/C23C2 ⊆ Aut C1296C12.66C2^4192,1296
C12.67C24 = C2×C8○D12φ: C24/C23C2 ⊆ Aut C1296C12.67C2^4192,1297
C12.68C24 = C2×S3×M4(2)φ: C24/C23C2 ⊆ Aut C1248C12.68C2^4192,1302
C12.69C24 = C2×D12.C4φ: C24/C23C2 ⊆ Aut C1296C12.69C2^4192,1303
C12.70C24 = M4(2)⋊26D6φ: C24/C23C2 ⊆ Aut C12484C12.70C2^4192,1304
C12.71C24 = S3×C8○D4φ: C24/C23C2 ⊆ Aut C12484C12.71C2^4192,1308
C12.72C24 = M4(2)⋊28D6φ: C24/C23C2 ⊆ Aut C12484C12.72C2^4192,1309
C12.73C24 = C23×C3⋊C8φ: C24/C23C2 ⊆ Aut C12192C12.73C2^4192,1339
C12.74C24 = C22×C4.Dic3φ: C24/C23C2 ⊆ Aut C1296C12.74C2^4192,1340
C12.75C24 = C2×D4.Dic3φ: C24/C23C2 ⊆ Aut C1296C12.75C2^4192,1377
C12.76C24 = C12.76C24φ: C24/C23C2 ⊆ Aut C12484C12.76C2^4192,1378
C12.77C24 = C22×C4○D12φ: C24/C23C2 ⊆ Aut C1296C12.77C2^4192,1513
C12.78C24 = C2×C6×D8φ: C24/C23C2 ⊆ Aut C1296C12.78C2^4192,1458
C12.79C24 = C2×C6×SD16φ: C24/C23C2 ⊆ Aut C1296C12.79C2^4192,1459
C12.80C24 = C2×C6×Q16φ: C24/C23C2 ⊆ Aut C12192C12.80C2^4192,1460
C12.81C24 = C6×C4○D8φ: C24/C23C2 ⊆ Aut C1296C12.81C2^4192,1461
C12.82C24 = C6×C8⋊C22φ: C24/C23C2 ⊆ Aut C1248C12.82C2^4192,1462
C12.83C24 = C6×C8.C22φ: C24/C23C2 ⊆ Aut C1296C12.83C2^4192,1463
C12.84C24 = C3×D8⋊C22φ: C24/C23C2 ⊆ Aut C12484C12.84C2^4192,1464
C12.85C24 = C3×D4○D8φ: C24/C23C2 ⊆ Aut C12484C12.85C2^4192,1465
C12.86C24 = C3×D4○SD16φ: C24/C23C2 ⊆ Aut C12484C12.86C2^4192,1466
C12.87C24 = C3×Q8○D8φ: C24/C23C2 ⊆ Aut C12964C12.87C2^4192,1467
C12.88C24 = Q8×C22×C6φ: C24/C23C2 ⊆ Aut C12192C12.88C2^4192,1532
C12.89C24 = C2×C6×C4○D4φ: C24/C23C2 ⊆ Aut C1296C12.89C2^4192,1533
C12.90C24 = C6×2+ 1+4φ: C24/C23C2 ⊆ Aut C1248C12.90C2^4192,1534
C12.91C24 = C6×2- 1+4φ: C24/C23C2 ⊆ Aut C1296C12.91C2^4192,1535
C12.92C24 = C2×C6×M4(2)central extension (φ=1)96C12.92C2^4192,1455
C12.93C24 = C6×C8○D4central extension (φ=1)96C12.93C2^4192,1456
C12.94C24 = C3×Q8○M4(2)central extension (φ=1)484C12.94C2^4192,1457
C12.95C24 = C3×C2.C25central extension (φ=1)484C12.95C2^4192,1536

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