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

Direct product G=N×Q with N=C4⋊C4⋊D5 and Q=C2
dρLabelID
C2×C4⋊C4⋊D5160C2xC4:C4:D5320,1184

Semidirect products G=N:Q with N=C4⋊C4⋊D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊D5⋊1C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:1C2320,1185
C4⋊C4⋊D5⋊2C2 = C10.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:2C2320,1186
C4⋊C4⋊D5⋊3C2 = C10.62- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:3C2320,1187
C4⋊C4⋊D5⋊4C2 = C42⋊10D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:4C2320,1199
C4⋊C4⋊D5⋊5C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:5C2320,1203
C4⋊C4⋊D5⋊6C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:6C2320,1206
C4⋊C4⋊D5⋊7C2 = C42⋊16D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:7C2320,1228
C4⋊C4⋊D5⋊8C2 = C42⋊17D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:8C2320,1232
C4⋊C4⋊D5⋊9C2 = C42.119D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:9C2320,1237
C4⋊C4⋊D5⋊10C2 = C42.122D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:10C2320,1240
C4⋊C4⋊D5⋊11C2 = C42.135D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:11C2320,1256
C4⋊C4⋊D5⋊12C2 = C10.342+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:12C2320,1273
C4⋊C4⋊D5⋊13C2 = C10.422+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:13C2320,1285
C4⋊C4⋊D5⋊14C2 = C10.462+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:14C2320,1289
C4⋊C4⋊D5⋊15C2 = C10.482+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:15C2320,1292
C4⋊C4⋊D5⋊16C2 = C22⋊Q8⋊25D5φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:16C2320,1296
C4⋊C4⋊D5⋊17C2 = C10.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:17C2320,1309
C4⋊C4⋊D5⋊18C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:18C2320,1310
C4⋊C4⋊D5⋊19C2 = C10.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:19C2320,1312
C4⋊C4⋊D5⋊20C2 = C10.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:20C2320,1313
C4⋊C4⋊D5⋊21C2 = C10.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:21C2320,1314
C4⋊C4⋊D5⋊22C2 = C10.242- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:22C2320,1315
C4⋊C4⋊D5⋊23C2 = C10.562+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:23C2320,1316
C4⋊C4⋊D5⋊24C2 = C10.572+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:24C2320,1317
C4⋊C4⋊D5⋊25C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:25C2320,1318
C4⋊C4⋊D5⋊26C2 = C4⋊C4.197D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:26C2320,1321
C4⋊C4⋊D5⋊27C2 = C10.612+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:27C2320,1329
C4⋊C4⋊D5⋊28C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:28C2320,1330
C4⋊C4⋊D5⋊29C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:29C2320,1333
C4⋊C4⋊D5⋊30C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:30C2320,1334
C4⋊C4⋊D5⋊31C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:31C2320,1337
C4⋊C4⋊D5⋊32C2 = C10.682+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:32C2320,1338
C4⋊C4⋊D5⋊33C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:33C2320,1363
C4⋊C4⋊D5⋊34C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:34C2320,1364
C4⋊C4⋊D5⋊35C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:35C2320,1365
C4⋊C4⋊D5⋊36C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:36C2320,1366
C4⋊C4⋊D5⋊37C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:37C2320,1367
C4⋊C4⋊D5⋊38C2 = C42.157D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:38C2320,1371
C4⋊C4⋊D5⋊39C2 = C42.160D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:39C2320,1374
C4⋊C4⋊D5⋊40C2 = D5×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:40C2320,1375
C4⋊C4⋊D5⋊41C2 = C42⋊23D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D580C4:C4:D5:41C2320,1376
C4⋊C4⋊D5⋊42C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:42C2320,1379
C4⋊C4⋊D5⋊43C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:43C2320,1381
C4⋊C4⋊D5⋊44C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:44C2320,1382
C4⋊C4⋊D5⋊45C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:45C2320,1384
C4⋊C4⋊D5⋊46C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:46C2320,1404
C4⋊C4⋊D5⋊47C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:47C2320,1405
C4⋊C4⋊D5⋊48C2 = C42.180D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5:48C2320,1407
C4⋊C4⋊D5⋊49C2 = C42.93D10φ: trivial image160C4:C4:D5:49C2320,1200
C4⋊C4⋊D5⋊50C2 = C42.102D10φ: trivial image160C4:C4:D5:50C2320,1210
C4⋊C4⋊D5⋊51C2 = C42.131D10φ: trivial image160C4:C4:D5:51C2320,1252

Non-split extensions G=N.Q with N=C4⋊C4⋊D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊D5.1C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5.1C2320,1255
C4⋊C4⋊D5.2C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5.2C2320,1368
C4⋊C4⋊D5.3C2 = C42.155D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5.3C2320,1369
C4⋊C4⋊D5.4C2 = C42.176D10φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D5160C4:C4:D5.4C2320,1403

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