Extensions 1→N→G→Q→1 with N=C20:7D4 and Q=C2

Direct product G=NxQ with N=C20:7D4 and Q=C2
dρLabelID
C2xC20:7D4160C2xC20:7D4320,1462

Semidirect products G=N:Q with N=C20:7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:7D4:1C2 = D20:13D4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:1C2320,359
C20:7D4:2C2 = C40:29D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:2C2320,742
C20:7D4:3C2 = C23:3D20φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:3C2320,1165
C20:7D4:4C2 = C24.30D10φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:4C2320,1166
C20:7D4:5C2 = C10.2+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:5C2320,1182
C20:7D4:6C2 = C42.104D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:6C2320,1212
C20:7D4:7C2 = D4xD20φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:7C2320,1221
C20:7D4:8C2 = Dic10:23D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:8C2320,1224
C20:7D4:9C2 = D4:5D20φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:9C2320,1226
C20:7D4:10C2 = D4:6D20φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:10C2320,1227
C20:7D4:11C2 = C42:17D10φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:11C2320,1232
C20:7D4:12C2 = C42.116D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:12C2320,1234
C20:7D4:13C2 = C42.119D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:13C2320,1237
C20:7D4:14C2 = C10.682+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:14C2320,1338
C20:7D4:15C2 = C10.692+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:15C2320,1339
C20:7D4:16C2 = D20:14D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:16C2320,361
C20:7D4:17C2 = C24.27D10φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:17C2320,1162
C20:7D4:18C2 = D20:23D4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:18C2320,1222
C20:7D4:19C2 = Dic10:24D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:19C2320,1225
C20:7D4:20C2 = C42.117D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:20C2320,1235
C20:7D4:21C2 = C10.612+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:21C2320,1329
C20:7D4:22C2 = C10.662+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:22C2320,1335
C20:7D4:23C2 = (C2xC10):D8φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:23C2320,665
C20:7D4:24C2 = C4:D4:D5φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:24C2320,666
C20:7D4:25C2 = (C2xC10):8D8φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:25C2320,844
C20:7D4:26C2 = (C5xD4):14D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:26C2320,865
C20:7D4:27C2 = C10.2- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:27C2320,1179
C20:7D4:28C2 = C10.112+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:28C2320,1186
C20:7D4:29C2 = C42.95D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:29C2320,1202
C20:7D4:30C2 = C42.97D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:30C2320,1204
C20:7D4:31C2 = C20:(C4oD4)φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:31C2320,1268
C20:7D4:32C2 = D5xC4:D4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:32C2320,1276
C20:7D4:33C2 = C10.382+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:33C2320,1279
C20:7D4:34C2 = C10.472+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:34C2320,1291
C20:7D4:35C2 = C4:C4:26D10φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:35C2320,1299
C20:7D4:36C2 = C10.172- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:36C2320,1301
C20:7D4:37C2 = D4xC5:D4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:37C2320,1473
C20:7D4:38C2 = C10.452- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:38C2320,1489
C20:7D4:39C2 = C10.1452+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:39C2320,1501
C20:7D4:40C2 = C10.1482+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:40C2320,1506
C20:7D4:41C2 = C40:3D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:41C2320,762
C20:7D4:42C2 = C42.100D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:42C2320,1207
C20:7D4:43C2 = C10.682- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:43C2320,1269
C20:7D4:44C2 = C10.372+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:44C2320,1277
C20:7D4:45C2 = C10.482+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:45C2320,1292
C20:7D4:46C2 = C10.562+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:46C2320,1316
C20:7D4:47C2 = C10.262- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:47C2320,1319
C20:7D4:48C2 = C10.1462+ 1+4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4:48C2320,1502
C20:7D4:49C2 = C10.1472+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4:49C2320,1505
C20:7D4:50C2 = C42.276D10φ: trivial image160C20:7D4:50C2320,1149
C20:7D4:51C2 = C24.72D10φ: trivial image80C20:7D4:51C2320,1463

Non-split extensions G=N.Q with N=C20:7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:7D4.1C2 = C22.2D40φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4.1C2320,28
C20:7D4.2C2 = C23.38D20φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.2C2320,362
C20:7D4.3C2 = C22.D40φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.3C2320,363
C20:7D4.4C2 = Dic10:14D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.4C2320,365
C20:7D4.5C2 = C40:30D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.5C2320,741
C20:7D4.6C2 = C10.62- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.6C2320,1187
C20:7D4.7C2 = (C2xD20):C4φ: C2/C1C2 ⊆ Out C20:7D480C20:7D4.7C2320,9
C20:7D4.8C2 = C23.13D20φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.8C2320,364
C20:7D4.9C2 = (C2xC10).40D8φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.9C2320,594
C20:7D4.10C2 = C4:C4.228D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.10C2320,595
C20:7D4.11C2 = C4:C4.236D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.11C2320,630
C20:7D4.12C2 = C5:2C8:24D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.12C2320,675
C20:7D4.13C2 = C22:Q8:D5φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.13C2320,676
C20:7D4.14C2 = (C5xQ8):13D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.14C2320,854
C20:7D4.15C2 = C22:Q8:25D5φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.15C2320,1296
C20:7D4.16C2 = C10.242- 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.16C2320,1315
C20:7D4.17C2 = C40:2D4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.17C2320,761
C20:7D4.18C2 = C42.99D10φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.18C2320,1206
C20:7D4.19C2 = C10.572+ 1+4φ: C2/C1C2 ⊆ Out C20:7D4160C20:7D4.19C2320,1317
C20:7D4.20C2 = C42.277D10φ: trivial image160C20:7D4.20C2320,1151

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