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Extensions 1→N→G→Q→1 with N=D10:D4 and Q=C2

Direct product G=NxQ with N=D10:D4 and Q=C2
dρLabelID
C2xD10:D4160C2xD10:D4320,1161

Semidirect products G=N:Q with N=D10:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10:D4:1C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:1C2320,1162
D10:D4:2C2 = C24.30D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:2C2320,1166
D10:D4:3C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:3C2320,1202
D10:D4:4C2 = C42.97D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:4C2320,1204
D10:D4:5C2 = C42.100D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:5C2320,1207
D10:D4:6C2 = C42.104D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:6C2320,1212
D10:D4:7C2 = D20:23D4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:7C2320,1222
D10:D4:8C2 = Dic10:24D4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:8C2320,1225
D10:D4:9C2 = C42.113D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:9C2320,1230
D10:D4:10C2 = C42:17D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:10C2320,1232
D10:D4:11C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:11C2320,1234
D10:D4:12C2 = C24:3D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:12C2320,1261
D10:D4:13C2 = C24:4D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:13C2320,1262
D10:D4:14C2 = C24.34D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:14C2320,1264
D10:D4:15C2 = C24.36D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:15C2320,1267
D10:D4:16C2 = C10.682- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:16C2320,1269
D10:D4:17C2 = Dic10:20D4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:17C2320,1271
D10:D4:18C2 = D5xC4:D4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:18C2320,1276
D10:D4:19C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:19C2320,1280
D10:D4:20C2 = D20:19D4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:20C2320,1281
D10:D4:21C2 = C10.402+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:21C2320,1282
D10:D4:22C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:22C2320,1287
D10:D4:23C2 = C10.482+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:23C2320,1292
D10:D4:24C2 = C10.172- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:24C2320,1301
D10:D4:25C2 = D20:22D4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:25C2320,1303
D10:D4:26C2 = Dic10:22D4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:26C2320,1305
D10:D4:27C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:27C2320,1319
D10:D4:28C2 = C10.1202+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:28C2320,1325
D10:D4:29C2 = C10.1212+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:29C2320,1326
D10:D4:30C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:30C2320,1327
D10:D4:31C2 = C4:C4:28D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:31C2320,1328
D10:D4:32C2 = C10.612+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:32C2320,1329
D10:D4:33C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:33C2320,1333
D10:D4:34C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:34C2320,1335
D10:D4:35C2 = C10.682+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:35C2320,1338
D10:D4:36C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:36C2320,1339
D10:D4:37C2 = C42.233D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:37C2320,1340
D10:D4:38C2 = C42.138D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:38C2320,1342
D10:D4:39C2 = C42:18D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:39C2320,1346
D10:D4:40C2 = D20:10D4φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:40C2320,1348
D10:D4:41C2 = Dic10:10D4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:41C2320,1349
D10:D4:42C2 = C42:20D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:42C2320,1350
D10:D4:43C2 = C42.145D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:43C2320,1356
D10:D4:44C2 = C42:23D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:44C2320,1376
D10:D4:45C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4:45C2320,1381
D10:D4:46C2 = C42:25D10φ: C2/C1 → C2 ⊆ Out D10:D480D10:D4:46C2320,1383
D10:D4:47C2 = C42:12D10φ: trivial image80D10:D4:47C2320,1219
D10:D4:48C2 = C42.228D10φ: trivial image160D10:D4:48C2320,1220

Non-split extensions G=N.Q with N=D10:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10:D4.1C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4.1C2320,1310
D10:D4.2C2 = C10.222- 1+4φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4.2C2320,1312
D10:D4.3C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4.3C2320,1378
D10:D4.4C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4.4C2320,1379
D10:D4.5C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out D10:D4160D10:D4.5C2320,1382
D10:D4.6C2 = C42.93D10φ: trivial image160D10:D4.6C2320,1200

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