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Extensions 1→N→G→Q→1 with N=D10.12D4 and Q=C2

Direct product G=N×Q with N=D10.12D4 and Q=C2
dρLabelID
C2×D10.12D4160C2xD10.12D4320,1160

Semidirect products G=N:Q with N=D10.12D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.12D4⋊1C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:1C2320,1162
D10.12D4⋊2C2 = C24.30D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:2C2320,1166
D10.12D4⋊3C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:3C2320,1167
D10.12D4⋊4C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:4C2320,1202
D10.12D4⋊5C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:5C2320,1206
D10.12D4⋊6C2 = D20⋊24D4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:6C2320,1223
D10.12D4⋊7C2 = C42⋊16D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:7C2320,1228
D10.12D4⋊8C2 = C42.114D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:8C2320,1231
D10.12D4⋊9C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:9C2320,1234
D10.12D4⋊10C2 = C42.118D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:10C2320,1236
D10.12D4⋊11C2 = C42.119D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:11C2320,1237
D10.12D4⋊12C2 = C24⋊3D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:12C2320,1261
D10.12D4⋊13C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:13C2320,1263
D10.12D4⋊14C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:14C2320,1265
D10.12D4⋊15C2 = C24.36D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:15C2320,1267
D10.12D4⋊16C2 = C10.342+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:16C2320,1273
D10.12D4⋊17C2 = C10.372+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:17C2320,1277
D10.12D4⋊18C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:18C2320,1278
D10.12D4⋊19C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:19C2320,1283
D10.12D4⋊20C2 = D20⋊20D4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:20C2320,1284
D10.12D4⋊21C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:21C2320,1287
D10.12D4⋊22C2 = C10.472+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:22C2320,1291
D10.12D4⋊23C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:23C2320,1293
D10.12D4⋊24C2 = C10.162- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:24C2320,1300
D10.12D4⋊25C2 = D20⋊22D4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:25C2320,1303
D10.12D4⋊26C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:26C2320,1310
D10.12D4⋊27C2 = C10.242- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:27C2320,1315
D10.12D4⋊28C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:28C2320,1319
D10.12D4⋊29C2 = D5×C22.D4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:29C2320,1324
D10.12D4⋊30C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:30C2320,1327
D10.12D4⋊31C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:31C2320,1330
D10.12D4⋊32C2 = C10.622+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:32C2320,1331
D10.12D4⋊33C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:33C2320,1332
D10.12D4⋊34C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:34C2320,1333
D10.12D4⋊35C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:35C2320,1334
D10.12D4⋊36C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:36C2320,1335
D10.12D4⋊37C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:37C2320,1337
D10.12D4⋊38C2 = C10.682+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:38C2320,1338
D10.12D4⋊39C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:39C2320,1339
D10.12D4⋊40C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:40C2320,1341
D10.12D4⋊41C2 = C42.141D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:41C2320,1347
D10.12D4⋊42C2 = D20⋊10D4φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:42C2320,1348
D10.12D4⋊43C2 = C42⋊20D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:43C2320,1350
D10.12D4⋊44C2 = C42⋊21D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:44C2320,1351
D10.12D4⋊45C2 = C42.234D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:45C2320,1352
D10.12D4⋊46C2 = C42.143D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:46C2320,1353
D10.12D4⋊47C2 = C42.145D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:47C2320,1356
D10.12D4⋊48C2 = C42⋊23D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:48C2320,1376
D10.12D4⋊49C2 = C42⋊24D10φ: C2/C1 → C2 ⊆ Out D10.12D480D10.12D4:49C2320,1377
D10.12D4⋊50C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:50C2320,1378
D10.12D4⋊51C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4:51C2320,1379
D10.12D4⋊52C2 = C42.93D10φ: trivial image160D10.12D4:52C2320,1200
D10.12D4⋊53C2 = C42⋊12D10φ: trivial image80D10.12D4:53C2320,1219
D10.12D4⋊54C2 = C42.229D10φ: trivial image160D10.12D4:54C2320,1229

Non-split extensions G=N.Q with N=D10.12D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.12D4.1C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4.1C2320,1201
D10.12D4.2C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4.2C2320,1311
D10.12D4.3C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4.3C2320,1318
D10.12D4.4C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4.4C2320,1380
D10.12D4.5C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out D10.12D4160D10.12D4.5C2320,1384

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