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Extensions 1→N→G→Q→1 with N=C20:2D4 and Q=C2

Direct product G=NxQ with N=C20:2D4 and Q=C2
dρLabelID
C2xC20:2D4160C2xC20:2D4320,1472

Semidirect products G=N:Q with N=C20:2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:2D4:1C2 = D10:D8φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:1C2320,402
C20:2D4:2C2 = C5:(C8:2D4)φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:2C2320,409
C20:2D4:3C2 = D20:D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:3C2320,783
C20:2D4:4C2 = C40:6D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:4C2320,784
C20:2D4:5C2 = Dic10:D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:5C2320,785
C20:2D4:6C2 = C40:12D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:6C2320,786
C20:2D4:7C2 = D20:7D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:7C2320,799
C20:2D4:8C2 = D20:24D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:8C2320,1223
C20:2D4:9C2 = C42.113D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:9C2320,1230
C20:2D4:10C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:10C2320,1234
C20:2D4:11C2 = C42.117D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:11C2320,1235
C20:2D4:12C2 = C24:3D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:12C2320,1261
C20:2D4:13C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:13C2320,1263
C20:2D4:14C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:14C2320,1265
C20:2D4:15C2 = C24.36D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:15C2320,1267
C20:2D4:16C2 = D5xC4:D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:16C2320,1276
C20:2D4:17C2 = C4:C4:21D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:17C2320,1278
C20:2D4:18C2 = C10.382+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:18C2320,1279
C20:2D4:19C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:19C2320,1280
C20:2D4:20C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:20C2320,1283
C20:2D4:21C2 = D20:20D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:21C2320,1284
C20:2D4:22C2 = C10.422+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:22C2320,1285
C20:2D4:23C2 = C10.432+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:23C2320,1286
C20:2D4:24C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:24C2320,1287
C20:2D4:25C2 = C10.452+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:25C2320,1288
C20:2D4:26C2 = C10.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:26C2320,1290
C20:2D4:27C2 = C10.472+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:27C2320,1291
C20:2D4:28C2 = C10.482+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:28C2320,1292
C20:2D4:29C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:29C2320,1293
C20:2D4:30C2 = C10.612+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:30C2320,1329
C20:2D4:31C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:31C2320,1333
C20:2D4:32C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:32C2320,1339
C20:2D4:33C2 = D20:10D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:33C2320,1348
C20:2D4:34C2 = Dic10:10D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:34C2320,1349
C20:2D4:35C2 = C42.238D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:35C2320,1388
C20:2D4:36C2 = D20:11D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:36C2320,1389
C20:2D4:37C2 = Dic10:11D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:37C2320,1390
C20:2D4:38C2 = C42.168D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:38C2320,1391
C20:2D4:39C2 = D4xC5:D4φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:39C2320,1473
C20:2D4:40C2 = C24.41D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:40C2320,1477
C20:2D4:41C2 = C24.42D10φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4:41C2320,1478
C20:2D4:42C2 = C10.1072- 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:42C2320,1503
C20:2D4:43C2 = C10.1472+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:43C2320,1505
C20:2D4:44C2 = C10.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4:44C2320,1506
C20:2D4:45C2 = C42.228D10φ: trivial image160C20:2D4:45C2320,1220
C20:2D4:46C2 = (C2xC20):15D4φ: trivial image80C20:2D4:46C2320,1500

Non-split extensions G=N.Q with N=C20:2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:2D4.1C2 = D10.SD16φ: C2/C1 → C2 ⊆ Out C20:2D480C20:2D4.1C2320,258
C20:2D4.2C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.2C2320,401
C20:2D4.3C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.3C2320,404
C20:2D4.4C2 = D10:SD16φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.4C2320,405
C20:2D4.5C2 = C40:6C4:C2φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.5C2320,406
C20:2D4.6C2 = C5:2C8:D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.6C2320,407
C20:2D4.7C2 = C40:5C4:C2φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.7C2320,411
C20:2D4.8C2 = D10:8SD16φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.8C2320,797
C20:2D4.9C2 = C40:14D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.9C2320,798
C20:2D4.10C2 = C40:8D4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.10C2320,801
C20:2D4.11C2 = C42.115D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.11C2320,1233
C20:2D4.12C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.12C2320,1332
C20:2D4.13C2 = C42.234D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.13C2320,1352
C20:2D4.14C2 = C42.144D10φ: C2/C1 → C2 ⊆ Out C20:2D4160C20:2D4.14C2320,1354
C20:2D4.15C2 = C42.229D10φ: trivial image160C20:2D4.15C2320,1229

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