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Extensions 1→N→G→Q→1 with N=C23⋊Q8 and Q=C2

Direct product G=N×Q with N=C23⋊Q8 and Q=C2
dρLabelID
C2×C23⋊Q864C2xC2^3:Q8128,1117

Semidirect products G=N:Q with N=C23⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊Q8⋊1C2 = C23⋊2SD16φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:1C2128,333
C23⋊Q8⋊2C2 = C24.12D4φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:2C2128,338
C23⋊Q8⋊3C2 = C23.304C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:3C2128,1136
C23⋊Q8⋊4C2 = C23.309C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:4C2128,1141
C23⋊Q8⋊5C2 = C24.262C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:5C2128,1162
C23⋊Q8⋊6C2 = C24.565C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:6C2128,1168
C23⋊Q8⋊7C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:7C2128,1169
C23⋊Q8⋊8C2 = C23.350C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:8C2128,1182
C23⋊Q8⋊9C2 = C23.352C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:9C2128,1184
C23⋊Q8⋊10C2 = C24.279C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:10C2128,1190
C23⋊Q8⋊11C2 = C23.359C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:11C2128,1191
C23⋊Q8⋊12C2 = C24.283C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:12C2128,1195
C23⋊Q8⋊13C2 = C23.372C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:13C2128,1204
C23⋊Q8⋊14C2 = C23.377C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:14C2128,1209
C23⋊Q8⋊15C2 = C23.388C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:15C2128,1220
C23⋊Q8⋊16C2 = C23.391C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:16C2128,1223
C23⋊Q8⋊17C2 = C23.457C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:17C2128,1289
C23⋊Q8⋊18C2 = C24.332C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:18C2128,1292
C23⋊Q8⋊19C2 = C23.461C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:19C2128,1293
C23⋊Q8⋊20C2 = C42.173D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:20C2128,1295
C23⋊Q8⋊21C2 = C24.583C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:21C2128,1296
C23⋊Q8⋊22C2 = C23.472C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:22C2128,1304
C23⋊Q8⋊23C2 = C42.178D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:23C2128,1312
C23⋊Q8⋊24C2 = C42.182D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:24C2128,1324
C23⋊Q8⋊25C2 = C42⋊26D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:25C2128,1342
C23⋊Q8⋊26C2 = C23.514C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:26C2128,1346
C23⋊Q8⋊27C2 = C24.360C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:27C2128,1347
C23⋊Q8⋊28C2 = C24⋊5Q8φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:28C2128,1358
C23⋊Q8⋊29C2 = C42⋊29D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:29C2128,1363
C23⋊Q8⋊30C2 = C42.189D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:30C2128,1364
C23⋊Q8⋊31C2 = C24.374C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:31C2128,1370
C23⋊Q8⋊32C2 = C24.592C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:32C2128,1371
C23⋊Q8⋊33C2 = C42.193D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:33C2128,1372
C23⋊Q8⋊34C2 = C23.553C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:34C2128,1385
C23⋊Q8⋊35C2 = C42⋊32D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:35C2128,1394
C23⋊Q8⋊36C2 = C24.378C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:36C2128,1395
C23⋊Q8⋊37C2 = C23.570C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:37C2128,1402
C23⋊Q8⋊38C2 = C23.574C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:38C2128,1406
C23⋊Q8⋊39C2 = C23.576C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:39C2128,1408
C23⋊Q8⋊40C2 = C23.581C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:40C2128,1413
C23⋊Q8⋊41C2 = C23.584C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:41C2128,1416
C23⋊Q8⋊42C2 = C24.393C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:42C2128,1418
C23⋊Q8⋊43C2 = C24.394C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:43C2128,1419
C23⋊Q8⋊44C2 = C23.592C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:44C2128,1424
C23⋊Q8⋊45C2 = C24.403C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:45C2128,1428
C23⋊Q8⋊46C2 = C23.600C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:46C2128,1432
C23⋊Q8⋊47C2 = C23.602C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:47C2128,1434
C23⋊Q8⋊48C2 = C24.412C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:48C2128,1442
C23⋊Q8⋊49C2 = C23.612C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:49C2128,1444
C23⋊Q8⋊50C2 = C24.418C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:50C2128,1455
C23⋊Q8⋊51C2 = C23.631C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:51C2128,1463
C23⋊Q8⋊52C2 = C23.636C24φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:52C2128,1468
C23⋊Q8⋊53C2 = C23.637C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:53C2128,1469
C23⋊Q8⋊54C2 = C23.651C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:54C2128,1483
C23⋊Q8⋊55C2 = C23.660C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:55C2128,1492
C23⋊Q8⋊56C2 = C24.450C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:56C2128,1516
C23⋊Q8⋊57C2 = C23.685C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:57C2128,1517
C23⋊Q8⋊58C2 = C24.456C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:58C2128,1536
C23⋊Q8⋊59C2 = C23.708C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:59C2128,1540
C23⋊Q8⋊60C2 = C23.714C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:60C2128,1546
C23⋊Q8⋊61C2 = C23.716C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:61C2128,1548
C23⋊Q8⋊62C2 = C42⋊34D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:62C2128,1551
C23⋊Q8⋊63C2 = C23.724C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:63C2128,1556
C23⋊Q8⋊64C2 = C23.730C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:64C2128,1562
C23⋊Q8⋊65C2 = C23.732C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8:65C2128,1564
C23⋊Q8⋊66C2 = C24⋊6Q8φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8:66C2128,1572
C23⋊Q8⋊67C2 = C23.288C24φ: trivial image64C2^3:Q8:67C2128,1120
C23⋊Q8⋊68C2 = C42.163D4φ: trivial image64C2^3:Q8:68C2128,1130

Non-split extensions G=N.Q with N=C23⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊Q8.1C2 = C23.Q16φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8.1C2128,83
C23⋊Q8.2C2 = C23⋊Q16φ: C2/C1 → C2 ⊆ Out C23⋊Q832C2^3:Q8.2C2128,334
C23⋊Q8.3C2 = C24.267C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.3C2128,1171
C23⋊Q8.4C2 = C24.285C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.4C2128,1197
C23⋊Q8.5C2 = C23.369C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.5C2128,1201
C23⋊Q8.6C2 = C23.392C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.6C2128,1224
C23⋊Q8.7C2 = C24.313C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.7C2128,1255
C23⋊Q8.8C2 = C24.315C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.8C2128,1259
C23⋊Q8.9C2 = C23.432C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.9C2128,1264
C23⋊Q8.10C2 = C24.338C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.10C2128,1306
C23⋊Q8.11C2 = C24.346C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.11C2128,1321
C23⋊Q8.12C2 = C42.183D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.12C2128,1331
C23⋊Q8.13C2 = C42.184D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.13C2128,1336
C23⋊Q8.14C2 = C24.355C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.14C2128,1339
C23⋊Q8.15C2 = C42.187D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.15C2128,1360
C23⋊Q8.16C2 = C42.192D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.16C2128,1369
C23⋊Q8.17C2 = C23.550C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.17C2128,1382
C23⋊Q8.18C2 = C24.379C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.18C2128,1397
C23⋊Q8.19C2 = C24.385C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.19C2128,1409
C23⋊Q8.20C2 = C23.616C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.20C2128,1448
C23⋊Q8.21C2 = C24.421C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.21C2128,1461
C23⋊Q8.22C2 = C24.428C23φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.22C2128,1474
C23⋊Q8.23C2 = C23.645C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.23C2128,1477
C23⋊Q8.24C2 = C23.654C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.24C2128,1486
C23⋊Q8.25C2 = C23.659C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.25C2128,1491
C23⋊Q8.26C2 = C23.663C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.26C2128,1495
C23⋊Q8.27C2 = C23.664C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.27C2128,1496
C23⋊Q8.28C2 = C23.675C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.28C2128,1507
C23⋊Q8.29C2 = C23.688C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.29C2128,1520
C23⋊Q8.30C2 = C23.698C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.30C2128,1530
C23⋊Q8.31C2 = C42.200D4φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.31C2128,1553
C23⋊Q8.32C2 = C23.731C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.32C2128,1563
C23⋊Q8.33C2 = C23.735C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.33C2128,1567
C23⋊Q8.34C2 = C23.738C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.34C2128,1570
C23⋊Q8.35C2 = C23.741C24φ: C2/C1 → C2 ⊆ Out C23⋊Q864C2^3:Q8.35C2128,1573
C23⋊Q8.36C2 = C42.162D4φ: trivial image64C2^3:Q8.36C2128,1128

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