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Extensions 1→N→G→Q→1 with N=C23.78C23 and Q=C2

Direct product G=NxQ with N=C23.78C23 and Q=C2
dρLabelID
C2xC23.78C23128C2xC2^3.78C2^3128,1119

Semidirect products G=N:Q with N=C23.78C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.78C23:1C2 = C4:C4.6D4φ: C2/C1 → C2 ⊆ Out C23.78C2332C2^3.78C2^3:1C2128,335
C23.78C23:2C2 = Q8:D4:C2φ: C2/C1 → C2 ⊆ Out C23.78C2332C2^3.78C2^3:2C2128,336
C23.78C23:3C2 = C24.243C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:3C2128,1138
C23.78C23:4C2 = C23.309C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:4C2128,1141
C23.78C23:5C2 = C24.262C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:5C2128,1162
C23.78C23:6C2 = C23.334C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:6C2128,1166
C23.78C23:7C2 = C24.567C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:7C2128,1170
C23.78C23:8C2 = C24.568C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:8C2128,1172
C23.78C23:9C2 = C23.349C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:9C2128,1181
C23.78C23:10C2 = C24.282C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:10C2128,1193
C23.78C23:11C2 = C24.285C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:11C2128,1197
C23.78C23:12C2 = C23.369C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:12C2128,1201
C23.78C23:13C2 = C23.374C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:13C2128,1206
C23.78C23:14C2 = C24.311C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:14C2128,1253
C23.78C23:15C2 = C23.449C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:15C2128,1281
C23.78C23:16C2 = C23.455C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:16C2128,1287
C23.78C23:17C2 = C23.456C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:17C2128,1288
C23.78C23:18C2 = C24.583C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:18C2128,1296
C23.78C23:19C2 = C24.338C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:19C2128,1306
C23.78C23:20C2 = C23.483C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:20C2128,1315
C23.78C23:21C2 = C42.183D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:21C2128,1331
C23.78C23:22C2 = C42.184D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:22C2128,1336
C23.78C23:23C2 = C42:26D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:23C2128,1342
C23.78C23:24C2 = C23.514C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:24C2128,1346
C23.78C23:25C2 = C24.361C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:25C2128,1348
C23.78C23:26C2 = C23.527C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:26C2128,1359
C23.78C23:27C2 = C42.187D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:27C2128,1360
C23.78C23:28C2 = C42.189D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:28C2128,1364
C23.78C23:29C2 = C42.192D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:29C2128,1369
C23.78C23:30C2 = C24.374C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:30C2128,1370
C23.78C23:31C2 = C23.550C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:31C2128,1382
C23.78C23:32C2 = C23.559C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:32C2128,1391
C23.78C23:33C2 = C42:32D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:33C2128,1394
C23.78C23:34C2 = C24.378C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:34C2128,1395
C23.78C23:35C2 = C24.379C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:35C2128,1397
C23.78C23:36C2 = C23.572C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:36C2128,1404
C23.78C23:37C2 = C23.574C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:37C2128,1406
C23.78C23:38C2 = C24.385C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:38C2128,1409
C23.78C23:39C2 = C23.580C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:39C2128,1412
C23.78C23:40C2 = C23.583C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:40C2128,1415
C23.78C23:41C2 = C24.393C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:41C2128,1418
C23.78C23:42C2 = C23.589C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:42C2128,1421
C23.78C23:43C2 = C23.590C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:43C2128,1422
C23.78C23:44C2 = C23.592C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:44C2128,1424
C23.78C23:45C2 = C24.405C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:45C2128,1430
C23.78C23:46C2 = C23.600C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:46C2128,1432
C23.78C23:47C2 = C24.408C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:47C2128,1436
C23.78C23:48C2 = C23.615C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:48C2128,1447
C23.78C23:49C2 = C23.617C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:49C2128,1449
C23.78C23:50C2 = C23.620C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:50C2128,1452
C23.78C23:51C2 = C24.418C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:51C2128,1455
C23.78C23:52C2 = C24.421C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:52C2128,1461
C23.78C23:53C2 = C23.637C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:53C2128,1469
C23.78C23:54C2 = C24.428C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:54C2128,1474
C23.78C23:55C2 = C23.645C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:55C2128,1477
C23.78C23:56C2 = C23.659C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:56C2128,1491
C23.78C23:57C2 = C23.663C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:57C2128,1495
C23.78C23:58C2 = C23.675C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:58C2128,1507
C23.78C23:59C2 = C24.450C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:59C2128,1516
C23.78C23:60C2 = C23.685C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:60C2128,1517
C23.78C23:61C2 = C23.688C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:61C2128,1520
C23.78C23:62C2 = C23.714C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:62C2128,1546
C23.78C23:63C2 = C24.462C23φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:63C2128,1549
C23.78C23:64C2 = C42.199D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:64C2128,1552
C23.78C23:65C2 = C42.200D4φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:65C2128,1553
C23.78C23:66C2 = C23.730C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:66C2128,1562
C23.78C23:67C2 = C23.731C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:67C2128,1563
C23.78C23:68C2 = C23.732C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:68C2128,1564
C23.78C23:69C2 = C23.735C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:69C2128,1567
C23.78C23:70C2 = C23.738C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:70C2128,1570
C23.78C23:71C2 = C23.741C24φ: C2/C1 → C2 ⊆ Out C23.78C2364C2^3.78C2^3:71C2128,1573
C23.78C23:72C2 = C23.288C24φ: trivial image64C2^3.78C2^3:72C2128,1120
C23.78C23:73C2 = C42.162D4φ: trivial image64C2^3.78C2^3:73C2128,1128

Non-split extensions G=N.Q with N=C23.78C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.78C23.1C2 = C2.7C2wrC4φ: C2/C1 → C2 ⊆ Out C23.78C2332C2^3.78C2^3.1C2128,86
C23.78C23.2C2 = (C2xC4):Q16φ: C2/C1 → C2 ⊆ Out C23.78C2332C2^3.78C2^3.2C2128,337
C23.78C23.3C2 = C23.351C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.3C2128,1183
C23.78C23.4C2 = C23.362C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.4C2128,1194
C23.78C23.5C2 = C23.420C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.5C2128,1252
C23.78C23.6C2 = C42:6Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.6C2128,1282
C23.78C23.7C2 = C42:7Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.7C2128,1283
C23.78C23.8C2 = C42.176D4φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.8C2128,1299
C23.78C23.9C2 = C42.179D4φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.9C2128,1313
C23.78C23.10C2 = C42.181D4φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.10C2128,1316
C23.78C23.11C2 = C23.486C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.11C2128,1318
C23.78C23.12C2 = C23.488C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.12C2128,1320
C23.78C23.13C2 = C42:8Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.13C2128,1337
C23.78C23.14C2 = C42:9Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.14C2128,1344
C23.78C23.15C2 = C42.191D4φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.15C2128,1366
C23.78C23.16C2 = C42:10Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.16C2128,1392
C23.78C23.17C2 = C42:11Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.17C2128,1398
C23.78C23.18C2 = C23.613C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.18C2128,1445
C23.78C23.19C2 = C23.634C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.19C2128,1466
C23.78C23.20C2 = C23.655C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.20C2128,1487
C23.78C23.21C2 = C23.658C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.21C2128,1490
C23.78C23.22C2 = C23.662C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.22C2128,1494
C23.78C23.23C2 = C23.674C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.23C2128,1506
C23.78C23.24C2 = C23.689C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.24C2128,1521
C23.78C23.25C2 = C23.692C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.25C2128,1524
C23.78C23.26C2 = C23.699C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.26C2128,1531
C23.78C23.27C2 = C23.705C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.27C2128,1537
C23.78C23.28C2 = C23.706C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.28C2128,1538
C23.78C23.29C2 = C23.711C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.29C2128,1543
C23.78C23.30C2 = C23.733C24φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.30C2128,1565
C23.78C23.31C2 = C42:12Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.31C2128,1575
C23.78C23.32C2 = C42:13Q8φ: C2/C1 → C2 ⊆ Out C23.78C23128C2^3.78C2^3.32C2128,1576
C23.78C23.33C2 = C42:5Q8φ: trivial image128C2^3.78C2^3.33C2128,1131

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