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Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C4○D4

Direct product G=N×Q with N=C2 and Q=D5×C4○D4
dρLabelID
C2×D5×C4○D480C2xD5xC4oD4320,1618


Non-split extensions G=N.Q with N=C2 and Q=D5×C4○D4
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C4○D4) = D5×C42⋊C2central extension (φ=1)80C2.1(D5xC4oD4)320,1192
C2.2(D5×C4○D4) = C42.188D10central extension (φ=1)160C2.2(D5xC4oD4)320,1194
C2.3(D5×C4○D4) = C4×D4⋊2D5central extension (φ=1)160C2.3(D5xC4oD4)320,1208
C2.4(D5×C4○D4) = C4×D4×D5central extension (φ=1)80C2.4(D5xC4oD4)320,1216
C2.5(D5×C4○D4) = C4×Q8×D5central extension (φ=1)160C2.5(D5xC4oD4)320,1243
C2.6(D5×C4○D4) = C4×Q8⋊2D5central extension (φ=1)160C2.6(D5xC4oD4)320,1245
C2.7(D5×C4○D4) = C4○D4×Dic5central extension (φ=1)160C2.7(D5xC4oD4)320,1498
C2.8(D5×C4○D4) = C42.88D10central stem extension (φ=1)160C2.8(D5xC4oD4)320,1189
C2.9(D5×C4○D4) = C42⋊8D10central stem extension (φ=1)80C2.9(D5xC4oD4)320,1196
C2.10(D5×C4○D4) = C42⋊10D10central stem extension (φ=1)80C2.10(D5xC4oD4)320,1199
C2.11(D5×C4○D4) = C42.93D10central stem extension (φ=1)160C2.11(D5xC4oD4)320,1200
C2.12(D5×C4○D4) = C42.94D10central stem extension (φ=1)160C2.12(D5xC4oD4)320,1201
C2.13(D5×C4○D4) = C42.95D10central stem extension (φ=1)160C2.13(D5xC4oD4)320,1202
C2.14(D5×C4○D4) = C42.96D10central stem extension (φ=1)160C2.14(D5xC4oD4)320,1203
C2.15(D5×C4○D4) = C42.97D10central stem extension (φ=1)160C2.15(D5xC4oD4)320,1204
C2.16(D5×C4○D4) = C42.98D10central stem extension (φ=1)160C2.16(D5xC4oD4)320,1205
C2.17(D5×C4○D4) = C42.102D10central stem extension (φ=1)160C2.17(D5xC4oD4)320,1210
C2.18(D5×C4○D4) = D4⋊5Dic10central stem extension (φ=1)160C2.18(D5xC4oD4)320,1211
C2.19(D5×C4○D4) = C42.104D10central stem extension (φ=1)160C2.19(D5xC4oD4)320,1212
C2.20(D5×C4○D4) = C42⋊12D10central stem extension (φ=1)80C2.20(D5xC4oD4)320,1219
C2.21(D5×C4○D4) = C42.228D10central stem extension (φ=1)160C2.21(D5xC4oD4)320,1220
C2.22(D5×C4○D4) = D4⋊5D20central stem extension (φ=1)80C2.22(D5xC4oD4)320,1226
C2.23(D5×C4○D4) = C42⋊16D10central stem extension (φ=1)80C2.23(D5xC4oD4)320,1228
C2.24(D5×C4○D4) = C42.229D10central stem extension (φ=1)160C2.24(D5xC4oD4)320,1229
C2.25(D5×C4○D4) = C42.113D10central stem extension (φ=1)160C2.25(D5xC4oD4)320,1230
C2.26(D5×C4○D4) = C42.114D10central stem extension (φ=1)160C2.26(D5xC4oD4)320,1231
C2.27(D5×C4○D4) = C42.122D10central stem extension (φ=1)160C2.27(D5xC4oD4)320,1240
C2.28(D5×C4○D4) = Q8⋊5Dic10central stem extension (φ=1)320C2.28(D5xC4oD4)320,1241
C2.29(D5×C4○D4) = Q8⋊5D20central stem extension (φ=1)160C2.29(D5xC4oD4)320,1248
C2.30(D5×C4○D4) = C42.232D10central stem extension (φ=1)160C2.30(D5xC4oD4)320,1250
C2.31(D5×C4○D4) = C42.131D10central stem extension (φ=1)160C2.31(D5xC4oD4)320,1252
C2.32(D5×C4○D4) = C42.132D10central stem extension (φ=1)160C2.32(D5xC4oD4)320,1253
C2.33(D5×C4○D4) = C20⋊(C4○D4)central stem extension (φ=1)160C2.33(D5xC4oD4)320,1268
C2.34(D5×C4○D4) = Dic10⋊20D4central stem extension (φ=1)160C2.34(D5xC4oD4)320,1271
C2.35(D5×C4○D4) = C4⋊C4.178D10central stem extension (φ=1)160C2.35(D5xC4oD4)320,1272
C2.36(D5×C4○D4) = C10.342+ 1+4central stem extension (φ=1)160C2.36(D5xC4oD4)320,1273
C2.37(D5×C4○D4) = D5×C4⋊D4central stem extension (φ=1)80C2.37(D5xC4oD4)320,1276
C2.38(D5×C4○D4) = C4⋊C4⋊21D10central stem extension (φ=1)80C2.38(D5xC4oD4)320,1278
C2.39(D5×C4○D4) = C10.402+ 1+4central stem extension (φ=1)80C2.39(D5xC4oD4)320,1282
C2.40(D5×C4○D4) = D20⋊20D4central stem extension (φ=1)80C2.40(D5xC4oD4)320,1284
C2.41(D5×C4○D4) = C10.422+ 1+4central stem extension (φ=1)80C2.41(D5xC4oD4)320,1285
C2.42(D5×C4○D4) = C10.432+ 1+4central stem extension (φ=1)160C2.42(D5xC4oD4)320,1286
C2.43(D5×C4○D4) = C10.442+ 1+4central stem extension (φ=1)160C2.43(D5xC4oD4)320,1287
C2.44(D5×C4○D4) = C10.452+ 1+4central stem extension (φ=1)160C2.44(D5xC4oD4)320,1288
C2.45(D5×C4○D4) = (Q8×Dic5)⋊C2central stem extension (φ=1)160C2.45(D5xC4oD4)320,1294
C2.46(D5×C4○D4) = C22⋊Q8⋊25D5central stem extension (φ=1)160C2.46(D5xC4oD4)320,1296
C2.47(D5×C4○D4) = D5×C22⋊Q8central stem extension (φ=1)80C2.47(D5xC4oD4)320,1298
C2.48(D5×C4○D4) = C4⋊C4⋊26D10central stem extension (φ=1)80C2.48(D5xC4oD4)320,1299
C2.49(D5×C4○D4) = D20⋊22D4central stem extension (φ=1)160C2.49(D5xC4oD4)320,1303
C2.50(D5×C4○D4) = Dic10⋊22D4central stem extension (φ=1)160C2.50(D5xC4oD4)320,1305
C2.51(D5×C4○D4) = C10.522+ 1+4central stem extension (φ=1)160C2.51(D5xC4oD4)320,1308
C2.52(D5×C4○D4) = C10.532+ 1+4central stem extension (φ=1)80C2.52(D5xC4oD4)320,1309
C2.53(D5×C4○D4) = C10.202- 1+4central stem extension (φ=1)160C2.53(D5xC4oD4)320,1310
C2.54(D5×C4○D4) = C10.212- 1+4central stem extension (φ=1)160C2.54(D5xC4oD4)320,1311
C2.55(D5×C4○D4) = C10.222- 1+4central stem extension (φ=1)160C2.55(D5xC4oD4)320,1312
C2.56(D5×C4○D4) = C10.232- 1+4central stem extension (φ=1)160C2.56(D5xC4oD4)320,1313
C2.57(D5×C4○D4) = C4⋊C4.197D10central stem extension (φ=1)160C2.57(D5xC4oD4)320,1321
C2.58(D5×C4○D4) = C10.802- 1+4central stem extension (φ=1)160C2.58(D5xC4oD4)320,1322
C2.59(D5×C4○D4) = D5×C22.D4central stem extension (φ=1)80C2.59(D5xC4oD4)320,1324
C2.60(D5×C4○D4) = C10.1212+ 1+4central stem extension (φ=1)80C2.60(D5xC4oD4)320,1326
C2.61(D5×C4○D4) = C10.822- 1+4central stem extension (φ=1)160C2.61(D5xC4oD4)320,1327
C2.62(D5×C4○D4) = C4⋊C4⋊28D10central stem extension (φ=1)80C2.62(D5xC4oD4)320,1328
C2.63(D5×C4○D4) = C10.612+ 1+4central stem extension (φ=1)80C2.63(D5xC4oD4)320,1329
C2.64(D5×C4○D4) = C10.1222+ 1+4central stem extension (φ=1)80C2.64(D5xC4oD4)320,1330
C2.65(D5×C4○D4) = C10.622+ 1+4central stem extension (φ=1)80C2.65(D5xC4oD4)320,1331
C2.66(D5×C4○D4) = C10.632+ 1+4central stem extension (φ=1)160C2.66(D5xC4oD4)320,1332
C2.67(D5×C4○D4) = C10.642+ 1+4central stem extension (φ=1)160C2.67(D5xC4oD4)320,1333
C2.68(D5×C4○D4) = C10.842- 1+4central stem extension (φ=1)160C2.68(D5xC4oD4)320,1334
C2.69(D5×C4○D4) = C10.662+ 1+4central stem extension (φ=1)160C2.69(D5xC4oD4)320,1335
C2.70(D5×C4○D4) = C10.672+ 1+4central stem extension (φ=1)160C2.70(D5xC4oD4)320,1336
C2.71(D5×C4○D4) = C42.233D10central stem extension (φ=1)160C2.71(D5xC4oD4)320,1340
C2.72(D5×C4○D4) = C42.137D10central stem extension (φ=1)160C2.72(D5xC4oD4)320,1341
C2.73(D5×C4○D4) = C42.138D10central stem extension (φ=1)160C2.73(D5xC4oD4)320,1342
C2.74(D5×C4○D4) = C42.139D10central stem extension (φ=1)160C2.74(D5xC4oD4)320,1343
C2.75(D5×C4○D4) = D5×C4.4D4central stem extension (φ=1)80C2.75(D5xC4oD4)320,1345
C2.76(D5×C4○D4) = D20⋊10D4central stem extension (φ=1)80C2.76(D5xC4oD4)320,1348
C2.77(D5×C4○D4) = Dic10⋊10D4central stem extension (φ=1)160C2.77(D5xC4oD4)320,1349
C2.78(D5×C4○D4) = C42⋊20D10central stem extension (φ=1)80C2.78(D5xC4oD4)320,1350
C2.79(D5×C4○D4) = C42⋊21D10central stem extension (φ=1)80C2.79(D5xC4oD4)320,1351
C2.80(D5×C4○D4) = C42.234D10central stem extension (φ=1)160C2.80(D5xC4oD4)320,1352
C2.81(D5×C4○D4) = C42.143D10central stem extension (φ=1)160C2.81(D5xC4oD4)320,1353
C2.82(D5×C4○D4) = Dic10⋊7Q8central stem extension (φ=1)320C2.82(D5xC4oD4)320,1357
C2.83(D5×C4○D4) = D5×C42.C2central stem extension (φ=1)160C2.83(D5xC4oD4)320,1359
C2.84(D5×C4○D4) = C42.236D10central stem extension (φ=1)160C2.84(D5xC4oD4)320,1360
C2.85(D5×C4○D4) = D20⋊7Q8central stem extension (φ=1)160C2.85(D5xC4oD4)320,1362
C2.86(D5×C4○D4) = C42.237D10central stem extension (φ=1)160C2.86(D5xC4oD4)320,1363
C2.87(D5×C4○D4) = C42.150D10central stem extension (φ=1)160C2.87(D5xC4oD4)320,1364
C2.88(D5×C4○D4) = C42.151D10central stem extension (φ=1)160C2.88(D5xC4oD4)320,1365
C2.89(D5×C4○D4) = C42.152D10central stem extension (φ=1)160C2.89(D5xC4oD4)320,1366
C2.90(D5×C4○D4) = C42.153D10central stem extension (φ=1)160C2.90(D5xC4oD4)320,1367
C2.91(D5×C4○D4) = C42.154D10central stem extension (φ=1)160C2.91(D5xC4oD4)320,1368
C2.92(D5×C4○D4) = C42.159D10central stem extension (φ=1)160C2.92(D5xC4oD4)320,1373
C2.93(D5×C4○D4) = C42.160D10central stem extension (φ=1)160C2.93(D5xC4oD4)320,1374
C2.94(D5×C4○D4) = D5×C42⋊2C2central stem extension (φ=1)80C2.94(D5xC4oD4)320,1375
C2.95(D5×C4○D4) = C42⋊23D10central stem extension (φ=1)80C2.95(D5xC4oD4)320,1376
C2.96(D5×C4○D4) = C42⋊24D10central stem extension (φ=1)80C2.96(D5xC4oD4)320,1377
C2.97(D5×C4○D4) = C42.189D10central stem extension (φ=1)160C2.97(D5xC4oD4)320,1378
C2.98(D5×C4○D4) = C42.161D10central stem extension (φ=1)160C2.98(D5xC4oD4)320,1379
C2.99(D5×C4○D4) = C42.162D10central stem extension (φ=1)160C2.99(D5xC4oD4)320,1380
C2.100(D5×C4○D4) = C42.163D10central stem extension (φ=1)160C2.100(D5xC4oD4)320,1381
C2.101(D5×C4○D4) = C42.164D10central stem extension (φ=1)160C2.101(D5xC4oD4)320,1382
C2.102(D5×C4○D4) = C10.1042- 1+4central stem extension (φ=1)160C2.102(D5xC4oD4)320,1496
C2.103(D5×C4○D4) = (C2×C20)⋊15D4central stem extension (φ=1)80C2.103(D5xC4oD4)320,1500
C2.104(D5×C4○D4) = C10.1452+ 1+4central stem extension (φ=1)80C2.104(D5xC4oD4)320,1501
C2.105(D5×C4○D4) = C10.1072- 1+4central stem extension (φ=1)160C2.105(D5xC4oD4)320,1503
C2.106(D5×C4○D4) = (C2×C20)⋊17D4central stem extension (φ=1)160C2.106(D5xC4oD4)320,1504
C2.107(D5×C4○D4) = C10.1482+ 1+4central stem extension (φ=1)160C2.107(D5xC4oD4)320,1506

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