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Extensions 1→N→G→Q→1 with N=C4⋊C4⋊7D5 and Q=C2

Direct product G=N×Q with N=C4⋊C4⋊7D5 and Q=C2
dρLabelID
C2×C4⋊C4⋊7D5160C2xC4:C4:7D5320,1174

Semidirect products G=N:Q with N=C4⋊C4⋊7D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7D5⋊1C2 = (D4×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:1C2320,397
C4⋊C4⋊7D5⋊2C2 = D4⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:2C2320,399
C4⋊C4⋊7D5⋊3C2 = C40⋊6C4⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:3C2320,406
C4⋊C4⋊7D5⋊4C2 = C40⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:4C2320,411
C4⋊C4⋊7D5⋊5C2 = Q8⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:5C2320,431
C4⋊C4⋊7D5⋊6C2 = C4.Q8⋊D5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:6C2320,493
C4⋊C4⋊7D5⋊7C2 = C2.D8⋊D5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:7C2320,512
C4⋊C4⋊7D5⋊8C2 = C10.82+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:8C2320,1176
C4⋊C4⋊7D5⋊9C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:9C2320,1185
C4⋊C4⋊7D5⋊10C2 = C10.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:10C2320,1186
C4⋊C4⋊7D5⋊11C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:11C2320,1195
C4⋊C4⋊7D5⋊12C2 = C42.97D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:12C2320,1204
C4⋊C4⋊7D5⋊13C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:13C2320,1205
C4⋊C4⋊7D5⋊14C2 = C42⋊11D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:14C2320,1217
C4⋊C4⋊7D5⋊15C2 = C42.113D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:15C2320,1230
C4⋊C4⋊7D5⋊16C2 = C42.117D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:16C2320,1235
C4⋊C4⋊7D5⋊17C2 = C42.132D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:17C2320,1253
C4⋊C4⋊7D5⋊18C2 = C42.135D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:18C2320,1256
C4⋊C4⋊7D5⋊19C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:19C2320,1278
C4⋊C4⋊7D5⋊20C2 = C10.382+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:20C2320,1279
C4⋊C4⋊7D5⋊21C2 = C10.452+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:21C2320,1288
C4⋊C4⋊7D5⋊22C2 = C10.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:22C2320,1290
C4⋊C4⋊7D5⋊23C2 = C22⋊Q8⋊25D5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:23C2320,1296
C4⋊C4⋊7D5⋊24C2 = C4⋊C4⋊26D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:24C2320,1299
C4⋊C4⋊7D5⋊25C2 = C10.162- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:25C2320,1300
C4⋊C4⋊7D5⋊26C2 = C10.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:26C2320,1309
C4⋊C4⋊7D5⋊27C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:27C2320,1311
C4⋊C4⋊7D5⋊28C2 = C10.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:28C2320,1312
C4⋊C4⋊7D5⋊29C2 = C10.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:29C2320,1313
C4⋊C4⋊7D5⋊30C2 = C10.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:30C2320,1314
C4⋊C4⋊7D5⋊31C2 = C4⋊C4.197D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:31C2320,1321
C4⋊C4⋊7D5⋊32C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:32C2320,1330
C4⋊C4⋊7D5⋊33C2 = C10.622+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:33C2320,1331
C4⋊C4⋊7D5⋊34C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:34C2320,1335
C4⋊C4⋊7D5⋊35C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:35C2320,1363
C4⋊C4⋊7D5⋊36C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:36C2320,1365
C4⋊C4⋊7D5⋊37C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:37C2320,1366
C4⋊C4⋊7D5⋊38C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:38C2320,1367
C4⋊C4⋊7D5⋊39C2 = C42⋊24D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5:39C2320,1377
C4⋊C4⋊7D5⋊40C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:40C2320,1378
C4⋊C4⋊7D5⋊41C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:41C2320,1380
C4⋊C4⋊7D5⋊42C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:42C2320,1382
C4⋊C4⋊7D5⋊43C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:43C2320,1404
C4⋊C4⋊7D5⋊44C2 = C42.179D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5:44C2320,1406
C4⋊C4⋊7D5⋊45C2 = D5×C42⋊C2φ: trivial image80C4:C4:7D5:45C2320,1192
C4⋊C4⋊7D5⋊46C2 = C4×D4⋊2D5φ: trivial image160C4:C4:7D5:46C2320,1208
C4⋊C4⋊7D5⋊47C2 = C4×Q8⋊2D5φ: trivial image160C4:C4:7D5:47C2320,1245

Non-split extensions G=N.Q with N=C4⋊C4⋊7D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7D5.1C2 = (Q8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.1C2320,429
C4⋊C4⋊7D5.2C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.2C2320,441
C4⋊C4⋊7D5.3C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.3C2320,442
C4⋊C4⋊7D5.4C2 = (C8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.4C2320,487
C4⋊C4⋊7D5.5C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.5C2320,488
C4⋊C4⋊7D5.6C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.6C2320,494
C4⋊C4⋊7D5.7C2 = C8.27(C4×D5)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.7C2320,507
C4⋊C4⋊7D5.8C2 = C40⋊20(C2×C4)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.8C2320,508
C4⋊C4⋊7D5.9C2 = C2.D8⋊7D5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.9C2320,515
C4⋊C4⋊7D5.10C2 = C42.125D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.10C2320,1244
C4⋊C4⋊7D5.11C2 = C42.236D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.11C2320,1360
C4⋊C4⋊7D5.12C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.12C2320,1361
C4⋊C4⋊7D5.13C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.13C2320,1368
C4⋊C4⋊7D5.14C2 = C42.241D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.14C2320,1400
C4⋊C4⋊7D5.15C2 = C42.174D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.15C2320,1401
C4⋊C4⋊7D5.16C2 = C20.C42φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D580C4:C4:7D5.16C2320,213
C4⋊C4⋊7D5.17C2 = D10.C42φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.17C2320,1039
C4⋊C4⋊7D5.18C2 = C4⋊C4.7F5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.18C2320,1044
C4⋊C4⋊7D5.19C2 = C4⋊C4.9F5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D5160C4:C4:7D5.19C2320,1046

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