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Extensions 1→N→G→Q→1 with N=D10⋊2Q8 and Q=C2

Direct product G=N×Q with N=D10⋊2Q8 and Q=C2
dρLabelID
C2×D10⋊2Q8160C2xD10:2Q8320,1181

Semidirect products G=N:Q with N=D10⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊2Q8⋊1C2 = D20.8D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:1C2320,403
D10⋊2Q8⋊2C2 = D10⋊SD16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:2C2320,405
D10⋊2Q8⋊3C2 = C5⋊2C8⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:3C2320,407
D10⋊2Q8⋊4C2 = D4.D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:4C2320,410
D10⋊2Q8⋊5C2 = Q8.D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:5C2320,437
D10⋊2Q8⋊6C2 = C8⋊8D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:6C2320,491
D10⋊2Q8⋊7C2 = C8⋊3D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:7C2320,513
D10⋊2Q8⋊8C2 = C10.2+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:8C2320,1182
D10⋊2Q8⋊9C2 = C10.102+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:9C2320,1183
D10⋊2Q8⋊10C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:10C2320,1185
D10⋊2Q8⋊11C2 = C42.92D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:11C2320,1198
D10⋊2Q8⋊12C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:12C2320,1201
D10⋊2Q8⋊13C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:13C2320,1205
D10⋊2Q8⋊14C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:14C2320,1226
D10⋊2Q8⋊15C2 = D4⋊6D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:15C2320,1227
D10⋊2Q8⋊16C2 = C42.115D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:16C2320,1233
D10⋊2Q8⋊17C2 = Q8×D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:17C2320,1247
D10⋊2Q8⋊18C2 = Q8⋊5D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:18C2320,1248
D10⋊2Q8⋊19C2 = Dic10⋊19D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:19C2320,1270
D10⋊2Q8⋊20C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:20C2320,1278
D10⋊2Q8⋊21C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:21C2320,1280
D10⋊2Q8⋊22C2 = D20⋊20D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:22C2320,1284
D10⋊2Q8⋊23C2 = D5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:23C2320,1298
D10⋊2Q8⋊24C2 = C10.162- 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:24C2320,1300
D10⋊2Q8⋊25C2 = D20⋊22D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:25C2320,1303
D10⋊2Q8⋊26C2 = Dic10⋊21D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:26C2320,1304
D10⋊2Q8⋊27C2 = C10.512+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:27C2320,1306
D10⋊2Q8⋊28C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:28C2320,1307
D10⋊2Q8⋊29C2 = C10.242- 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:29C2320,1315
D10⋊2Q8⋊30C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:30C2320,1319
D10⋊2Q8⋊31C2 = C10.612+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:31C2320,1329
D10⋊2Q8⋊32C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:32C2320,1330
D10⋊2Q8⋊33C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:33C2320,1337
D10⋊2Q8⋊34C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:34C2320,1339
D10⋊2Q8⋊35C2 = D20⋊7Q8φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:35C2320,1362
D10⋊2Q8⋊36C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:36C2320,1363
D10⋊2Q8⋊37C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:37C2320,1364
D10⋊2Q8⋊38C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:38C2320,1366
D10⋊2Q8⋊39C2 = C42.157D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:39C2320,1371
D10⋊2Q8⋊40C2 = C42⋊24D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8:40C2320,1377
D10⋊2Q8⋊41C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:41C2320,1379
D10⋊2Q8⋊42C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:42C2320,1382
D10⋊2Q8⋊43C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:43C2320,1384
D10⋊2Q8⋊44C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:44C2320,1402
D10⋊2Q8⋊45C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:45C2320,1404
D10⋊2Q8⋊46C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8:46C2320,1405
D10⋊2Q8⋊47C2 = C42⋊8D10φ: trivial image80D10:2Q8:47C2320,1196
D10⋊2Q8⋊48C2 = C42.229D10φ: trivial image160D10:2Q8:48C2320,1229

Non-split extensions G=N.Q with N=D10⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊2Q8.1C2 = D10.1Q16φ: C2/C1 → C2 ⊆ Out D10⋊2Q880D10:2Q8.1C2320,207
D10⋊2Q8.2C2 = D10⋊4Q16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.2C2320,435
D10⋊2Q8.3C2 = D10⋊Q16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.3C2320,440
D10⋊2Q8.4C2 = C5⋊2C8.D4φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.4C2320,443
D10⋊2Q8.5C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.5C2320,489
D10⋊2Q8.6C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.6C2320,494
D10⋊2Q8.7C2 = C8.2D20φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.7C2320,495
D10⋊2Q8.8C2 = D10.8Q16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.8C2320,511
D10⋊2Q8.9C2 = D10⋊2Q16φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.9C2320,514
D10⋊2Q8.10C2 = C2.D8⋊7D5φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.10C2320,515
D10⋊2Q8.11C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.11C2320,1255
D10⋊2Q8.12C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.12C2320,1361
D10⋊2Q8.13C2 = C42.155D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.13C2320,1369
D10⋊2Q8.14C2 = C42.241D10φ: C2/C1 → C2 ⊆ Out D10⋊2Q8160D10:2Q8.14C2320,1400
D10⋊2Q8.15C2 = C42.232D10φ: trivial image160D10:2Q8.15C2320,1250

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