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Extensions 1→N→G→Q→1 with N=C4⋊2D20 and Q=C2

Direct product G=N×Q with N=C4⋊2D20 and Q=C2
dρLabelID
C2×C4⋊2D20160C2xC4:2D20320,1178

Semidirect products G=N:Q with N=C4⋊2D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊2D20⋊1C2 = D4⋊D20φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:1C2320,400
C4⋊2D20⋊2C2 = D10⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:2C2320,402
C4⋊2D20⋊3C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:3C2320,408
C4⋊2D20⋊4C2 = C5⋊(C8⋊2D4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:4C2320,409
C4⋊2D20⋊5C2 = D20⋊4D4φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:5C2320,438
C4⋊2D20⋊6C2 = C8⋊2D20φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:6C2320,492
C4⋊2D20⋊7C2 = C8⋊7D20φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:7C2320,510
C4⋊2D20⋊8C2 = C10.2- (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:8C2320,1179
C4⋊2D20⋊9C2 = C10.2+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:9C2320,1182
C4⋊2D20⋊10C2 = C10.112+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:10C2320,1186
C4⋊2D20⋊11C2 = C42⋊9D10φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:11C2320,1197
C4⋊2D20⋊12C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:12C2320,1202
C4⋊2D20⋊13C2 = C42.97D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:13C2320,1204
C4⋊2D20⋊14C2 = D4×D20φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:14C2320,1221
C4⋊2D20⋊15C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:15C2320,1226
C4⋊2D20⋊16C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:16C2320,1234
C4⋊2D20⋊17C2 = Q8⋊5D20φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:17C2320,1248
C4⋊2D20⋊18C2 = Q8⋊6D20φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:18C2320,1249
C4⋊2D20⋊19C2 = Dic10⋊20D4φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:19C2320,1271
C4⋊2D20⋊20C2 = D5×C4⋊D4φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:20C2320,1276
C4⋊2D20⋊21C2 = C10.382+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:21C2320,1279
C4⋊2D20⋊22C2 = D20⋊19D4φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:22C2320,1281
C4⋊2D20⋊23C2 = C4⋊C4⋊26D10φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:23C2320,1299
C4⋊2D20⋊24C2 = C10.172- (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:24C2320,1301
C4⋊2D20⋊25C2 = D20⋊21D4φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:25C2320,1302
C4⋊2D20⋊26C2 = Dic10⋊22D4φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:26C2320,1305
C4⋊2D20⋊27C2 = C10.562+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:27C2320,1316
C4⋊2D20⋊28C2 = C10.262- (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:28C2320,1319
C4⋊2D20⋊29C2 = C10.1202+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:29C2320,1325
C4⋊2D20⋊30C2 = C10.1212+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:30C2320,1326
C4⋊2D20⋊31C2 = C10.662+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:31C2320,1335
C4⋊2D20⋊32C2 = C10.682+ (1+4)φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:32C2320,1338
C4⋊2D20⋊33C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:33C2320,1367
C4⋊2D20⋊34C2 = C42.156D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:34C2320,1370
C4⋊2D20⋊35C2 = C42.158D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:35C2320,1372
C4⋊2D20⋊36C2 = C42⋊23D10φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:36C2320,1376
C4⋊2D20⋊37C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:37C2320,1381
C4⋊2D20⋊38C2 = C42⋊25D10φ: C2/C1 → C2 ⊆ Out C4⋊2D2080C4:2D20:38C2320,1383
C4⋊2D20⋊39C2 = C42.240D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:39C2320,1397
C4⋊2D20⋊40C2 = D20⋊12D4φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:40C2320,1398
C4⋊2D20⋊41C2 = C42.179D10φ: C2/C1 → C2 ⊆ Out C4⋊2D20160C4:2D20:41C2320,1406
C4⋊2D20⋊42C2 = C42⋊8D10φ: trivial image80C4:2D20:42C2320,1196
C4⋊2D20⋊43C2 = C42.228D10φ: trivial image160C4:2D20:43C2320,1220

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

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