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Extensions 1→N→G→Q→1 with N=C4:D20 and Q=C2

Direct product G=NxQ with N=C4:D20 and Q=C2
dρLabelID
C2xC4:D20160C2xC4:D20320,1178

Semidirect products G=N:Q with N=C4:D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D20:1C2 = D4:D20φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:1C2320,400
C4:D20:2C2 = D10:D8φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:2C2320,402
C4:D20:3C2 = D4:3D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:3C2320,408
C4:D20:4C2 = C5:(C8:2D4)φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:4C2320,409
C4:D20:5C2 = D20:4D4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:5C2320,438
C4:D20:6C2 = C8:2D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:6C2320,492
C4:D20:7C2 = C8:7D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:7C2320,510
C4:D20:8C2 = C10.2- 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:8C2320,1179
C4:D20:9C2 = C10.2+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:9C2320,1182
C4:D20:10C2 = C10.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:10C2320,1186
C4:D20:11C2 = C42:9D10φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:11C2320,1197
C4:D20:12C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:12C2320,1202
C4:D20:13C2 = C42.97D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:13C2320,1204
C4:D20:14C2 = D4xD20φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:14C2320,1221
C4:D20:15C2 = D4:5D20φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:15C2320,1226
C4:D20:16C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:16C2320,1234
C4:D20:17C2 = Q8:5D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:17C2320,1248
C4:D20:18C2 = Q8:6D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:18C2320,1249
C4:D20:19C2 = Dic10:20D4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:19C2320,1271
C4:D20:20C2 = D5xC4:D4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:20C2320,1276
C4:D20:21C2 = C10.382+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:21C2320,1279
C4:D20:22C2 = D20:19D4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:22C2320,1281
C4:D20:23C2 = C4:C4:26D10φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:23C2320,1299
C4:D20:24C2 = C10.172- 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:24C2320,1301
C4:D20:25C2 = D20:21D4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:25C2320,1302
C4:D20:26C2 = Dic10:22D4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:26C2320,1305
C4:D20:27C2 = C10.562+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:27C2320,1316
C4:D20:28C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:28C2320,1319
C4:D20:29C2 = C10.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:29C2320,1325
C4:D20:30C2 = C10.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:30C2320,1326
C4:D20:31C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:31C2320,1335
C4:D20:32C2 = C10.682+ 1+4φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:32C2320,1338
C4:D20:33C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:33C2320,1367
C4:D20:34C2 = C42.156D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:34C2320,1370
C4:D20:35C2 = C42.158D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:35C2320,1372
C4:D20:36C2 = C42:23D10φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:36C2320,1376
C4:D20:37C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:37C2320,1381
C4:D20:38C2 = C42:25D10φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20:38C2320,1383
C4:D20:39C2 = C42.240D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:39C2320,1397
C4:D20:40C2 = D20:12D4φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:40C2320,1398
C4:D20:41C2 = C42.179D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20:41C2320,1406
C4:D20:42C2 = C42:8D10φ: trivial image80C4:D20:42C2320,1196
C4:D20:43C2 = C42.228D10φ: trivial image160C4:D20:43C2320,1220

Non-split extensions G=N.Q with N=C4:D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D20.1C2 = D10.1D8φ: C2/C1 → C2 ⊆ Out C4:D2080C4:D20.1C2320,206
C4:D20.2C2 = Q8:2D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.2C2320,433
C4:D20.3C2 = D10:2SD16φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.3C2320,434
C4:D20.4C2 = C5:(C8:D4)φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.4C2320,439
C4:D20.5C2 = D10.17SD16φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.5C2320,490
C4:D20.6C2 = C8:8D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.6C2320,491
C4:D20.7C2 = C4.Q8:D5φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.7C2320,493
C4:D20.8C2 = D10.13D8φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.8C2320,509
C4:D20.9C2 = C2.D8:D5φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.9C2320,512
C4:D20.10C2 = C8:3D20φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.10C2320,513
C4:D20.11C2 = C42.133D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.11C2320,1254
C4:D20.12C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.12C2320,1363
C4:D20.13C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.13C2320,1364
C4:D20.14C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out C4:D20160C4:D20.14C2320,1405
C4:D20.15C2 = C42.131D10φ: trivial image160C4:D20.15C2320,1252

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