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Extensions 1→N→G→Q→1 with N=C23⋊2D4 and Q=C2

Direct product G=N×Q with N=C23⋊2D4 and Q=C2
dρLabelID
C2×C23⋊2D464C2xC2^3:2D4128,1116

Semidirect products G=N:Q with N=C23⋊2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊2D4⋊1C2 = C23⋊D8φ: C2/C1 → C2 ⊆ Out C23⋊2D416C2^3:2D4:1C2128,327
C23⋊2D4⋊2C2 = C24.9D4φ: C2/C1 → C2 ⊆ Out C23⋊2D416C2^3:2D4:2C2128,332
C23⋊2D4⋊3C2 = C24⋊7D4φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:3C2128,1135
C23⋊2D4⋊4C2 = C23.304C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:4C2128,1136
C23⋊2D4⋊5C2 = C24.244C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:5C2128,1139
C23⋊2D4⋊6C2 = C23.308C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:6C2128,1140
C23⋊2D4⋊7C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:7C2128,1142
C23⋊2D4⋊8C2 = C24.249C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:8C2128,1146
C23⋊2D4⋊9C2 = C23.324C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:9C2128,1156
C23⋊2D4⋊10C2 = C23.328C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:10C2128,1160
C23⋊2D4⋊11C2 = C24.262C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:11C2128,1162
C23⋊2D4⋊12C2 = C24.263C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:12C2128,1163
C23⋊2D4⋊13C2 = C23.333C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:13C2128,1165
C23⋊2D4⋊14C2 = C23.356C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:14C2128,1188
C23⋊2D4⋊15C2 = C23.364C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:15C2128,1196
C23⋊2D4⋊16C2 = C42⋊17D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:16C2128,1267
C23⋊2D4⋊17C2 = C23.439C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:17C2128,1271
C23⋊2D4⋊18C2 = C42⋊19D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:18C2128,1272
C23⋊2D4⋊19C2 = C42⋊20D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:19C2128,1273
C23⋊2D4⋊20C2 = C23.443C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:20C2128,1275
C23⋊2D4⋊21C2 = C23.455C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:21C2128,1287
C23⋊2D4⋊22C2 = C24⋊9D4φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:22C2128,1345
C23⋊2D4⋊23C2 = C24.360C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:23C2128,1347
C23⋊2D4⋊24C2 = C24⋊10D4φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:24C2128,1349
C23⋊2D4⋊25C2 = C42⋊27D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:25C2128,1351
C23⋊2D4⋊26C2 = C42⋊29D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:26C2128,1363
C23⋊2D4⋊27C2 = C23.535C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:27C2128,1367
C23⋊2D4⋊28C2 = C23.556C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:28C2128,1388
C23⋊2D4⋊29C2 = C42⋊31D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:29C2128,1389
C23⋊2D4⋊30C2 = C24.377C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:30C2128,1393
C23⋊2D4⋊31C2 = C23.568C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:31C2128,1400
C23⋊2D4⋊32C2 = C23.569C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:32C2128,1401
C23⋊2D4⋊33C2 = C23.570C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:33C2128,1402
C23⋊2D4⋊34C2 = C23.571C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:34C2128,1403
C23⋊2D4⋊35C2 = C23.573C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:35C2128,1405
C23⋊2D4⋊36C2 = C24.384C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:36C2128,1407
C23⋊2D4⋊37C2 = C23.576C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:37C2128,1408
C23⋊2D4⋊38C2 = C23.578C24φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:38C2128,1410
C23⋊2D4⋊39C2 = C24.389C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:39C2128,1414
C23⋊2D4⋊40C2 = C24.395C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:40C2128,1420
C23⋊2D4⋊41C2 = C24.406C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:41C2128,1431
C23⋊2D4⋊42C2 = C23.603C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:42C2128,1435
C23⋊2D4⋊43C2 = C24.413C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:43C2128,1446
C23⋊2D4⋊44C2 = C23.633C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:44C2128,1465
C23⋊2D4⋊45C2 = C24⋊11D4φ: C2/C1 → C2 ⊆ Out C23⋊2D432C2^3:2D4:45C2128,1544
C23⋊2D4⋊46C2 = C24.459C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:46C2128,1545
C23⋊2D4⋊47C2 = C23.715C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:47C2128,1547
C23⋊2D4⋊48C2 = C42⋊33D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:48C2128,1550
C23⋊2D4⋊49C2 = C42⋊34D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:49C2128,1551
C23⋊2D4⋊50C2 = C23.725C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:50C2128,1557
C23⋊2D4⋊51C2 = C23.728C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4:51C2128,1560
C23⋊2D4⋊52C2 = C23.288C24φ: trivial image64C2^3:2D4:52C2128,1120
C23⋊2D4⋊53C2 = C42⋊16D4φ: trivial image64C2^3:2D4:53C2128,1129

Non-split extensions G=N.Q with N=C23⋊2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊2D4.1C2 = C24.D4φ: C2/C1 → C2 ⊆ Out C23⋊2D416C2^3:2D4.1C2128,75
C23⋊2D4.2C2 = C23⋊SD16φ: C2/C1 → C2 ⊆ Out C23⋊2D416C2^3:2D4.2C2128,328
C23⋊2D4.3C2 = C24.276C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.3C2128,1187
C23⋊2D4.4C2 = C24.278C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.4C2128,1189
C23⋊2D4.5C2 = C23.359C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.5C2128,1191
C23⋊2D4.6C2 = C24.282C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.6C2128,1193
C23⋊2D4.7C2 = C24.283C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.7C2128,1195
C23⋊2D4.8C2 = C23.367C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.8C2128,1199
C23⋊2D4.9C2 = C24.290C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.9C2128,1203
C23⋊2D4.10C2 = C24.327C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.10C2128,1286
C23⋊2D4.11C2 = C23.457C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.11C2128,1289
C23⋊2D4.12C2 = C42⋊22D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.12C2128,1330
C23⋊2D4.13C2 = C23.500C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.13C2128,1332
C23⋊2D4.14C2 = C23.502C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.14C2128,1334
C23⋊2D4.15C2 = C42⋊24D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.15C2128,1335
C23⋊2D4.16C2 = C42⋊26D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.16C2128,1342
C23⋊2D4.17C2 = C23.530C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.17C2128,1362
C23⋊2D4.18C2 = C42⋊30D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.18C2128,1368
C23⋊2D4.19C2 = C23.548C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.19C2128,1380
C23⋊2D4.20C2 = C42⋊32D4φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.20C2128,1394
C23⋊2D4.21C2 = C23.593C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.21C2128,1425
C23⋊2D4.22C2 = C24.403C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.22C2128,1428
C23⋊2D4.23C2 = C23.605C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.23C2128,1437
C23⋊2D4.24C2 = C23.606C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.24C2128,1438
C23⋊2D4.25C2 = C24.412C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.25C2128,1442
C23⋊2D4.26C2 = C23.612C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.26C2128,1444
C23⋊2D4.27C2 = C23.630C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.27C2128,1462
C23⋊2D4.28C2 = C23.649C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.28C2128,1481
C23⋊2D4.29C2 = C23.652C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.29C2128,1484
C23⋊2D4.30C2 = C24.437C23φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.30C2128,1485
C23⋊2D4.31C2 = C23.656C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.31C2128,1488
C23⋊2D4.32C2 = C23.660C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.32C2128,1492
C23⋊2D4.33C2 = C23.678C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.33C2128,1510
C23⋊2D4.34C2 = C23.697C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.34C2128,1529
C23⋊2D4.35C2 = C23.703C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.35C2128,1535
C23⋊2D4.36C2 = C23.724C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.36C2128,1556
C23⋊2D4.37C2 = C23.726C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.37C2128,1558
C23⋊2D4.38C2 = C23.729C24φ: C2/C1 → C2 ⊆ Out C23⋊2D464C2^3:2D4.38C2128,1561
C23⋊2D4.39C2 = C42⋊15D4φ: trivial image64C2^3:2D4.39C2128,1124

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