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Extensions 1→N→G→Q→1 with N=C42⋊8C4 and Q=C2

Direct product G=N×Q with N=C42⋊8C4 and Q=C2
dρLabelID
C2×C42⋊8C4128C2xC4^2:8C4128,1013

Semidirect products G=N:Q with N=C42⋊8C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊8C4⋊1C2 = C42.58D4φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4:1C2128,244
C42⋊8C4⋊2C2 = C42.61D4φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4:2C2128,249
C42⋊8C4⋊3C2 = C42.100D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:3C2128,536
C42⋊8C4⋊4C2 = C42⋊9(C2×C4)φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4:4C2128,592
C42⋊8C4⋊5C2 = C42.433D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:5C2128,690
C42⋊8C4⋊6C2 = C42.112D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:6C2128,693
C42⋊8C4⋊7C2 = C42⋊12D4φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4:7C2128,772
C42⋊8C4⋊8C2 = C42⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:8C2128,805
C42⋊8C4⋊9C2 = (C2×C8).168D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:9C2128,824
C42⋊8C4⋊10C2 = C24.192C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:10C2128,1046
C42⋊8C4⋊11C2 = C23.199C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:11C2128,1049
C42⋊8C4⋊12C2 = C24.547C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:12C2128,1050
C42⋊8C4⋊13C2 = C42⋊14D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:13C2128,1060
C42⋊8C4⋊14C2 = C24.203C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:14C2128,1066
C42⋊8C4⋊15C2 = C23.225C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:15C2128,1075
C42⋊8C4⋊16C2 = C24.208C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:16C2128,1078
C42⋊8C4⋊17C2 = C23.231C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:17C2128,1081
C42⋊8C4⋊18C2 = C23.234C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:18C2128,1084
C42⋊8C4⋊19C2 = C24.212C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:19C2128,1089
C42⋊8C4⋊20C2 = C23.261C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:20C2128,1111
C42⋊8C4⋊21C2 = C24.254C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:21C2128,1152
C42⋊8C4⋊22C2 = C23.321C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:22C2128,1153
C42⋊8C4⋊23C2 = C24.267C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:23C2128,1171
C42⋊8C4⋊24C2 = C24.569C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:24C2128,1174
C42⋊8C4⋊25C2 = C23.388C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:25C2128,1220
C42⋊8C4⋊26C2 = C24.301C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:26C2128,1221
C42⋊8C4⋊27C2 = C24.304C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:27C2128,1226
C42⋊8C4⋊28C2 = C23.395C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:28C2128,1227
C42⋊8C4⋊29C2 = C24.308C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:29C2128,1231
C42⋊8C4⋊30C2 = C23.400C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:30C2128,1232
C42⋊8C4⋊31C2 = C24.579C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:31C2128,1235
C42⋊8C4⋊32C2 = C23.404C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:32C2128,1236
C42⋊8C4⋊33C2 = C23.405C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:33C2128,1237
C42⋊8C4⋊34C2 = C23.413C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:34C2128,1245
C42⋊8C4⋊35C2 = C24.309C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:35C2128,1247
C42⋊8C4⋊36C2 = C23.417C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:36C2128,1249
C42⋊8C4⋊37C2 = C23.418C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:37C2128,1250
C42⋊8C4⋊38C2 = C23.419C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:38C2128,1251
C42⋊8C4⋊39C2 = C23.429C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:39C2128,1261
C42⋊8C4⋊40C2 = C42⋊17D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:40C2128,1267
C42⋊8C4⋊41C2 = C42.165D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:41C2128,1268
C42⋊8C4⋊42C2 = C24.326C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:42C2128,1285
C42⋊8C4⋊43C2 = C42.173D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:43C2128,1295
C42⋊8C4⋊44C2 = C42.175D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:44C2128,1298
C42⋊8C4⋊45C2 = C24.338C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:45C2128,1306
C42⋊8C4⋊46C2 = C24.339C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:46C2128,1307
C42⋊8C4⋊47C2 = C24.340C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:47C2128,1308
C42⋊8C4⋊48C2 = C42.178D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:48C2128,1312
C42⋊8C4⋊49C2 = C42⋊25D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:49C2128,1341
C42⋊8C4⋊50C2 = C42⋊27D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:50C2128,1351
C42⋊8C4⋊51C2 = C42.186D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:51C2128,1353
C42⋊8C4⋊52C2 = C42.187D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:52C2128,1360
C42⋊8C4⋊53C2 = C42⋊30D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:53C2128,1368
C42⋊8C4⋊54C2 = C42.192D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:54C2128,1369
C42⋊8C4⋊55C2 = C24.405C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:55C2128,1430
C42⋊8C4⋊56C2 = C23.606C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:56C2128,1438
C42⋊8C4⋊57C2 = C24.418C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:57C2128,1455
C42⋊8C4⋊58C2 = C24.430C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:58C2128,1476
C42⋊8C4⋊59C2 = C24.437C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:59C2128,1485
C42⋊8C4⋊60C2 = C23.654C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:60C2128,1486
C42⋊8C4⋊61C2 = C24.440C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:61C2128,1493
C42⋊8C4⋊62C2 = C23.663C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:62C2128,1495
C42⋊8C4⋊63C2 = C24.443C23φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:63C2128,1497
C42⋊8C4⋊64C2 = C23.668C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:64C2128,1500
C42⋊8C4⋊65C2 = C23.672C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:65C2128,1504
C42⋊8C4⋊66C2 = C23.673C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:66C2128,1505
C42⋊8C4⋊67C2 = C23.675C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:67C2128,1507
C42⋊8C4⋊68C2 = C23.681C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:68C2128,1513
C42⋊8C4⋊69C2 = C23.682C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:69C2128,1514
C42⋊8C4⋊70C2 = C23.683C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:70C2128,1515
C42⋊8C4⋊71C2 = C23.685C24φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:71C2128,1517
C42⋊8C4⋊72C2 = C42⋊34D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:72C2128,1551
C42⋊8C4⋊73C2 = C42.199D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:73C2128,1552
C42⋊8C4⋊74C2 = C42⋊46D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:74C2128,1582
C42⋊8C4⋊75C2 = C42.439D4φ: C2/C1 → C2 ⊆ Out C42⋊8C464C4^2:8C4:75C2128,1583
C42⋊8C4⋊76C2 = C23.165C24φ: trivial image64C4^2:8C4:76C2128,1015
C42⋊8C4⋊77C2 = C23.167C24φ: trivial image64C4^2:8C4:77C2128,1017
C42⋊8C4⋊78C2 = C4×C4.4D4φ: trivial image64C4^2:8C4:78C2128,1035

Non-split extensions G=N.Q with N=C42⋊8C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊8C4.1C2 = C42.5Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4.1C2128,18
C42⋊8C4.2C2 = C42.7Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.2C2128,27
C42⋊8C4.3C2 = C42⋊C8φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4.3C2128,56
C42⋊8C4.4C2 = C42.62D4φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4.4C2128,250
C42⋊8C4.5C2 = C42.101D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.5C2128,537
C42⋊8C4.6C2 = C42.56Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.6C2128,567
C42⋊8C4.7C2 = C42.24Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.7C2128,568
C42⋊8C4.8C2 = C42.60Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.8C2128,578
C42⋊8C4.9C2 = C42.26Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.9C2128,579
C42⋊8C4.10C2 = C42.31Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.10C2128,681
C42⋊8C4.11C2 = C42.111D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.11C2128,692
C42⋊8C4.12C2 = C42.437D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.12C2128,723
C42⋊8C4.13C2 = C42.125D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.13C2128,725
C42⋊8C4.14C2 = C42⋊3Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C432C4^2:8C4.14C2128,793
C42⋊8C4.15C2 = (C2×Q8).109D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.15C2128,806
C42⋊8C4.16C2 = (C2×C8).24Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.16C2128,817
C42⋊8C4.17C2 = (C2×C8).171D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.17C2128,829
C42⋊8C4.18C2 = C4⋊C4.Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.18C2128,833
C42⋊8C4.19C2 = C23.202C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.19C2128,1052
C42⋊8C4.20C2 = C42.161D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.20C2128,1059
C42⋊8C4.21C2 = C42⋊4Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.21C2128,1063
C42⋊8C4.22C2 = C23.233C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.22C2128,1083
C42⋊8C4.23C2 = C23.237C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.23C2128,1087
C42⋊8C4.24C2 = C23.238C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.24C2128,1088
C42⋊8C4.25C2 = C23.264C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.25C2128,1114
C42⋊8C4.26C2 = C23.408C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.26C2128,1240
C42⋊8C4.27C2 = C23.409C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.27C2128,1241
C42⋊8C4.28C2 = C23.414C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.28C2128,1246
C42⋊8C4.29C2 = C23.420C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.29C2128,1252
C42⋊8C4.30C2 = C23.424C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.30C2128,1256
C42⋊8C4.31C2 = C23.428C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.31C2128,1260
C42⋊8C4.32C2 = C42⋊6Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.32C2128,1282
C42⋊8C4.33C2 = C42.174D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.33C2128,1297
C42⋊8C4.34C2 = C42.177D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.34C2128,1300
C42⋊8C4.35C2 = C42.36Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.35C2128,1302
C42⋊8C4.36C2 = C42.37Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.36C2128,1303
C42⋊8C4.37C2 = C42.179D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.37C2128,1313
C42⋊8C4.38C2 = C42⋊9Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.38C2128,1344
C42⋊8C4.39C2 = C42.39Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.39C2128,1379
C42⋊8C4.40C2 = C42⋊10Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.40C2128,1392
C42⋊8C4.41C2 = C42⋊11Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.41C2128,1398
C42⋊8C4.42C2 = C23.619C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.42C2128,1451
C42⋊8C4.43C2 = C23.655C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.43C2128,1487
C42⋊8C4.44C2 = C23.662C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.44C2128,1494
C42⋊8C4.45C2 = C23.666C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.45C2128,1498
C42⋊8C4.46C2 = C23.667C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.46C2128,1499
C42⋊8C4.47C2 = C23.669C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.47C2128,1501
C42⋊8C4.48C2 = C23.674C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.48C2128,1506
C42⋊8C4.49C2 = C23.689C24φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.49C2128,1521
C42⋊8C4.50C2 = C42.201D4φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.50C2128,1554
C42⋊8C4.51C2 = C42⋊13Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.51C2128,1576
C42⋊8C4.52C2 = C42.40Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.52C2128,1577
C42⋊8C4.53C2 = C43.15C2φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.53C2128,1591
C42⋊8C4.54C2 = C42⋊18Q8φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.54C2128,1594
C42⋊8C4.55C2 = C43.18C2φ: C2/C1 → C2 ⊆ Out C42⋊8C4128C4^2:8C4.55C2128,1596
C42⋊8C4.56C2 = C4×C42.C2φ: trivial image128C4^2:8C4.56C2128,1037

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