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Extensions 1→N→G→Q→1 with N=C20.48D4 and Q=C2

Direct product G=N×Q with N=C20.48D4 and Q=C2
dρLabelID
C2×C20.48D4160C2xC20.48D4320,1456

Semidirect products G=N:Q with N=C20.48D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.48D4⋊1C2 = D20.31D4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:1C2320,358
C20.48D4⋊2C2 = C40⋊30D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:2C2320,741
C20.48D4⋊3C2 = C23⋊2Dic10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:3C2320,1155
C20.48D4⋊4C2 = C24.30D10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:4C2320,1166
C20.48D4⋊5C2 = C10.62- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:5C2320,1187
C20.48D4⋊6C2 = D4×Dic10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:6C2320,1209
C20.48D4⋊7C2 = D4⋊5Dic10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:7C2320,1211
C20.48D4⋊8C2 = C42.105D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:8C2320,1213
C20.48D4⋊9C2 = D4⋊6Dic10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:9C2320,1215
C20.48D4⋊10C2 = D20⋊23D4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:10C2320,1222
C20.48D4⋊11C2 = C42⋊16D10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:11C2320,1228
C20.48D4⋊12C2 = C42.115D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:12C2320,1233
C20.48D4⋊13C2 = C42.118D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:13C2320,1236
C20.48D4⋊14C2 = C10.812- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:14C2320,1323
C20.48D4⋊15C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:15C2320,1339
C20.48D4⋊16C2 = D20.32D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:16C2320,360
C20.48D4⋊17C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:17C2320,1167
C20.48D4⋊18C2 = C10.102+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:18C2320,1183
C20.48D4⋊19C2 = C42.106D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:19C2320,1214
C20.48D4⋊20C2 = D20⋊24D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:20C2320,1223
C20.48D4⋊21C2 = Dic10⋊23D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:21C2320,1224
C20.48D4⋊22C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:22C2320,1332
C20.48D4⋊23C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:23C2320,1334
C20.48D4⋊24C2 = C5⋊2C8⋊23D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:24C2320,668
C20.48D4⋊25C2 = C4.(D4×D5)φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:25C2320,669
C20.48D4⋊26C2 = (C5×D4).31D4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:26C2320,845
C20.48D4⋊27C2 = (C5×D4).32D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:27C2320,866
C20.48D4⋊28C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:28C2320,1185
C20.48D4⋊29C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:29C2320,1201
C20.48D4⋊30C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:30C2320,1205
C20.48D4⋊31C2 = C4⋊C4.178D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:31C2320,1272
C20.48D4⋊32C2 = C10.362+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:32C2320,1275
C20.48D4⋊33C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:33C2320,1278
C20.48D4⋊34C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:34C2320,1280
C20.48D4⋊35C2 = D5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:35C2320,1298
C20.48D4⋊36C2 = C10.162- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:36C2320,1300
C20.48D4⋊37C2 = C24.42D10φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:37C2320,1478
C20.48D4⋊38C2 = Q8×C5⋊D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:38C2320,1487
C20.48D4⋊39C2 = C10.1042- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:39C2320,1496
C20.48D4⋊40C2 = C10.1072- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:40C2320,1503
C20.48D4⋊41C2 = C40⋊2D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:41C2320,761
C20.48D4⋊42C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:42C2320,1206
C20.48D4⋊43C2 = C10.352+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:43C2320,1274
C20.48D4⋊44C2 = C10.462+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:44C2320,1289
C20.48D4⋊45C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:45C2320,1293
C20.48D4⋊46C2 = C10.512+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4:46C2320,1306
C20.48D4⋊47C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:47C2320,1318
C20.48D4⋊48C2 = C10.1052- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:48C2320,1497
C20.48D4⋊49C2 = C10.1472+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4:49C2320,1505
C20.48D4⋊50C2 = C42.277D10φ: trivial image160C20.48D4:50C2320,1151
C20.48D4⋊51C2 = C24.72D10φ: trivial image80C20.48D4:51C2320,1463

Non-split extensions G=N.Q with N=C20.48D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.48D4.1C2 = C23.30D20φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4.1C2320,25
C20.48D4.2C2 = C23.34D20φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.2C2320,348
C20.48D4.3C2 = C23.35D20φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.3C2320,349
C20.48D4.4C2 = C22⋊Dic20φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.4C2320,366
C20.48D4.5C2 = C40.82D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.5C2320,743
C20.48D4.6C2 = C10.12- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.6C2320,1172
C20.48D4.7C2 = C4⋊Dic5⋊C4φ: C2/C1 → C2 ⊆ Out C20.48D480C20.48D4.7C2320,10
C20.48D4.8C2 = C23.10D20φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.8C2320,350
C20.48D4.9C2 = C4⋊C4.230D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.9C2320,597
C20.48D4.10C2 = C4⋊C4.231D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.10C2320,598
C20.48D4.11C2 = C4⋊C4.233D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.11C2320,623
C20.48D4.12C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.12C2320,678
C20.48D4.13C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.13C2320,679
C20.48D4.14C2 = (C2×C10)⋊8Q16φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.14C2320,855
C20.48D4.15C2 = (Q8×Dic5)⋊C2φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.15C2320,1294
C20.48D4.16C2 = C10.152- 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.16C2320,1297
C20.48D4.17C2 = C40.4D4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.17C2320,764
C20.48D4.18C2 = C42.89D10φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.18C2320,1190
C20.48D4.19C2 = C10.502+ 1+4φ: C2/C1 → C2 ⊆ Out C20.48D4160C20.48D4.19C2320,1295
C20.48D4.20C2 = C42.274D10φ: trivial image160C20.48D4.20C2320,1142

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