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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=C23

Direct product G=N×Q with N=C3⋊C8 and Q=C23
dρLabelID
C23×C3⋊C8192C2^3xC3:C8192,1339

Semidirect products G=N:Q with N=C3⋊C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1C23 = C2×D8⋊S3φ: C23/C2 → C22 ⊆ Out C3⋊C848C3:C8:1C2^3192,1314
C3⋊C8⋊2C23 = C2×Q8⋊3D6φ: C23/C2 → C22 ⊆ Out C3⋊C848C3:C8:2C2^3192,1318
C3⋊C8⋊3C23 = S3×C8⋊C22φ: C23/C2 → C22 ⊆ Out C3⋊C8248+C3:C8:3C2^3192,1331
C3⋊C8⋊4C23 = C2×D12⋊6C22φ: C23/C2 → C22 ⊆ Out C3⋊C848C3:C8:4C2^3192,1352
C3⋊C8⋊5C23 = C2×D4⋊D6φ: C23/C2 → C22 ⊆ Out C3⋊C848C3:C8:5C2^3192,1379
C3⋊C8⋊6C23 = C2×S3×D8φ: C23/C22 → C2 ⊆ Out C3⋊C848C3:C8:6C2^3192,1313
C3⋊C8⋊7C23 = C2×S3×SD16φ: C23/C22 → C2 ⊆ Out C3⋊C848C3:C8:7C2^3192,1317
C3⋊C8⋊8C23 = C22×D4⋊S3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8:8C2^3192,1351
C3⋊C8⋊9C23 = C22×D4.S3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8:9C2^3192,1353
C3⋊C8⋊10C23 = C22×Q8⋊2S3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8:10C2^3192,1366
C3⋊C8⋊11C23 = C22×C8⋊S3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8:11C2^3192,1296
C3⋊C8⋊12C23 = C2×S3×M4(2)φ: C23/C22 → C2 ⊆ Out C3⋊C848C3:C8:12C2^3192,1302
C3⋊C8⋊13C23 = C22×C4.Dic3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8:13C2^3192,1340
C3⋊C8⋊14C23 = S3×C22×C8φ: trivial image96C3:C8:14C2^3192,1295

Non-split extensions G=N.Q with N=C3⋊C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C3⋊C8.1C23 = D8⋊13D6φ: C23/C2 → C22 ⊆ Out C3⋊C8484C3:C8.1C2^3192,1316
C3⋊C8.2C23 = C2×D4.D6φ: C23/C2 → C22 ⊆ Out C3⋊C896C3:C8.2C2^3192,1319
C3⋊C8.3C23 = SD16⋊13D6φ: C23/C2 → C22 ⊆ Out C3⋊C8484C3:C8.3C2^3192,1321
C3⋊C8.4C23 = C2×Q16⋊S3φ: C23/C2 → C22 ⊆ Out C3⋊C896C3:C8.4C2^3192,1323
C3⋊C8.5C23 = D12.30D4φ: C23/C2 → C22 ⊆ Out C3⋊C8964C3:C8.5C2^3192,1325
C3⋊C8.6C23 = SD16⋊D6φ: C23/C2 → C22 ⊆ Out C3⋊C8484C3:C8.6C2^3192,1327
C3⋊C8.7C23 = D8⋊15D6φ: C23/C2 → C22 ⊆ Out C3⋊C8484+C3:C8.7C2^3192,1328
C3⋊C8.8C23 = D8⋊11D6φ: C23/C2 → C22 ⊆ Out C3⋊C8484C3:C8.8C2^3192,1329
C3⋊C8.9C23 = D8.10D6φ: C23/C2 → C22 ⊆ Out C3⋊C8964-C3:C8.9C2^3192,1330
C3⋊C8.10C23 = D8⋊4D6φ: C23/C2 → C22 ⊆ Out C3⋊C8488-C3:C8.10C2^3192,1332
C3⋊C8.11C23 = S3×C8.C22φ: C23/C2 → C22 ⊆ Out C3⋊C8488-C3:C8.11C2^3192,1335
C3⋊C8.12C23 = D24⋊C22φ: C23/C2 → C22 ⊆ Out C3⋊C8488+C3:C8.12C2^3192,1336
C3⋊C8.13C23 = C2×Q8.11D6φ: C23/C2 → C22 ⊆ Out C3⋊C896C3:C8.13C2^3192,1367
C3⋊C8.14C23 = C12.C24φ: C23/C2 → C22 ⊆ Out C3⋊C8484C3:C8.14C2^3192,1381
C3⋊C8.15C23 = C2×Q8.14D6φ: C23/C2 → C22 ⊆ Out C3⋊C896C3:C8.15C2^3192,1382
C3⋊C8.16C23 = D12.32C23φ: C23/C2 → C22 ⊆ Out C3⋊C8488+C3:C8.16C2^3192,1394
C3⋊C8.17C23 = D12.33C23φ: C23/C2 → C22 ⊆ Out C3⋊C8488-C3:C8.17C2^3192,1395
C3⋊C8.18C23 = D12.34C23φ: C23/C2 → C22 ⊆ Out C3⋊C8488+C3:C8.18C2^3192,1396
C3⋊C8.19C23 = D12.35C23φ: C23/C2 → C22 ⊆ Out C3⋊C8968-C3:C8.19C2^3192,1397
C3⋊C8.20C23 = C2×D8⋊3S3φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.20C2^3192,1315
C3⋊C8.21C23 = C2×Q8.7D6φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.21C2^3192,1320
C3⋊C8.22C23 = C2×S3×Q16φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.22C2^3192,1322
C3⋊C8.23C23 = C2×D24⋊C2φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.23C2^3192,1324
C3⋊C8.24C23 = S3×C4○D8φ: C23/C22 → C2 ⊆ Out C3⋊C8484C3:C8.24C2^3192,1326
C3⋊C8.25C23 = D8⋊5D6φ: C23/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.25C2^3192,1333
C3⋊C8.26C23 = D8⋊6D6φ: C23/C22 → C2 ⊆ Out C3⋊C8488-C3:C8.26C2^3192,1334
C3⋊C8.27C23 = C24.C23φ: C23/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.27C2^3192,1337
C3⋊C8.28C23 = SD16.D6φ: C23/C22 → C2 ⊆ Out C3⋊C8968-C3:C8.28C2^3192,1338
C3⋊C8.29C23 = C22×C3⋊Q16φ: C23/C22 → C2 ⊆ Out C3⋊C8192C3:C8.29C2^3192,1368
C3⋊C8.30C23 = C2×Q8.13D6φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.30C2^3192,1380
C3⋊C8.31C23 = C2×C8○D12φ: C23/C22 → C2 ⊆ Out C3⋊C896C3:C8.31C2^3192,1297
C3⋊C8.32C23 = M4(2)⋊26D6φ: C23/C22 → C2 ⊆ Out C3⋊C8484C3:C8.32C2^3192,1304
C3⋊C8.33C23 = M4(2)⋊28D6φ: C23/C22 → C2 ⊆ Out C3⋊C8484C3:C8.33C2^3192,1309
C3⋊C8.34C23 = C12.76C24φ: C23/C22 → C2 ⊆ Out C3⋊C8484C3:C8.34C2^3192,1378
C3⋊C8.35C23 = C2×D12.C4φ: trivial image96C3:C8.35C2^3192,1303
C3⋊C8.36C23 = S3×C8○D4φ: trivial image484C3:C8.36C2^3192,1308
C3⋊C8.37C23 = C2×D4.Dic3φ: trivial image96C3:C8.37C2^3192,1377

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