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

Direct product G=N×Q with N=C2 and Q=C2×D4×D5
dρLabelID
C22×D4×D580C2^2xD4xD5320,1612


Non-split extensions G=N.Q with N=C2 and Q=C2×D4×D5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×D4×D5) = C2×D5×C22⋊C4central extension (φ=1)80C2.1(C2xD4xD5)320,1156
C2.2(C2×D4×D5) = C2×Dic5⋊4D4central extension (φ=1)160C2.2(C2xD4xD5)320,1157
C2.3(C2×D4×D5) = C2×D5×C4⋊C4central extension (φ=1)160C2.3(C2xD4xD5)320,1173
C2.4(C2×D4×D5) = C2×D20⋊8C4central extension (φ=1)160C2.4(C2xD4xD5)320,1175
C2.5(C2×D4×D5) = C4×D4×D5central extension (φ=1)80C2.5(C2xD4xD5)320,1216
C2.6(C2×D4×D5) = C2×D4×Dic5central extension (φ=1)160C2.6(C2xD4xD5)320,1467
C2.7(C2×D4×D5) = C2×Dic5.14D4central stem extension (φ=1)160C2.7(C2xD4xD5)320,1153
C2.8(C2×D4×D5) = C2×C22⋊D20central stem extension (φ=1)80C2.8(C2xD4xD5)320,1159
C2.9(C2×D4×D5) = C2×D10.12D4central stem extension (φ=1)160C2.9(C2xD4xD5)320,1160
C2.10(C2×D4×D5) = C2×D10⋊D4central stem extension (φ=1)160C2.10(C2xD4xD5)320,1161
C2.11(C2×D4×D5) = C24.27D10central stem extension (φ=1)80C2.11(C2xD4xD5)320,1162
C2.12(C2×D4×D5) = C2×Dic5.5D4central stem extension (φ=1)160C2.12(C2xD4xD5)320,1163
C2.13(C2×D4×D5) = C2×C20⋊Q8central stem extension (φ=1)320C2.13(C2xD4xD5)320,1169
C2.14(C2×D4×D5) = C2×D10.13D4central stem extension (φ=1)160C2.14(C2xD4xD5)320,1177
C2.15(C2×D4×D5) = C2×C4⋊D20central stem extension (φ=1)160C2.15(C2xD4xD5)320,1178
C2.16(C2×D4×D5) = C10.2- 1+4central stem extension (φ=1)160C2.16(C2xD4xD5)320,1179
C2.17(C2×D4×D5) = C2×D10⋊Q8central stem extension (φ=1)160C2.17(C2xD4xD5)320,1180
C2.18(C2×D4×D5) = D4×Dic10central stem extension (φ=1)160C2.18(C2xD4xD5)320,1209
C2.19(C2×D4×D5) = C42⋊12D10central stem extension (φ=1)80C2.19(C2xD4xD5)320,1219
C2.20(C2×D4×D5) = C42.228D10central stem extension (φ=1)160C2.20(C2xD4xD5)320,1220
C2.21(C2×D4×D5) = D4×D20central stem extension (φ=1)80C2.21(C2xD4xD5)320,1221
C2.22(C2×D4×D5) = D20⋊23D4central stem extension (φ=1)80C2.22(C2xD4xD5)320,1222
C2.23(C2×D4×D5) = D20⋊24D4central stem extension (φ=1)160C2.23(C2xD4xD5)320,1223
C2.24(C2×D4×D5) = Dic10⋊23D4central stem extension (φ=1)160C2.24(C2xD4xD5)320,1224
C2.25(C2×D4×D5) = Dic10⋊24D4central stem extension (φ=1)160C2.25(C2xD4xD5)320,1225
C2.26(C2×D4×D5) = C24.56D10central stem extension (φ=1)80C2.26(C2xD4xD5)320,1258
C2.27(C2×D4×D5) = D5×C22≀C2central stem extension (φ=1)40C2.27(C2xD4xD5)320,1260
C2.28(C2×D4×D5) = C24⋊3D10central stem extension (φ=1)80C2.28(C2xD4xD5)320,1261
C2.29(C2×D4×D5) = C24⋊4D10central stem extension (φ=1)80C2.29(C2xD4xD5)320,1262
C2.30(C2×D4×D5) = C24.33D10central stem extension (φ=1)80C2.30(C2xD4xD5)320,1263
C2.31(C2×D4×D5) = C24.34D10central stem extension (φ=1)80C2.31(C2xD4xD5)320,1264
C2.32(C2×D4×D5) = C20⋊(C4○D4)central stem extension (φ=1)160C2.32(C2xD4xD5)320,1268
C2.33(C2×D4×D5) = C10.682- 1+4central stem extension (φ=1)160C2.33(C2xD4xD5)320,1269
C2.34(C2×D4×D5) = Dic10⋊19D4central stem extension (φ=1)160C2.34(C2xD4xD5)320,1270
C2.35(C2×D4×D5) = Dic10⋊20D4central stem extension (φ=1)160C2.35(C2xD4xD5)320,1271
C2.36(C2×D4×D5) = D5×C4⋊D4central stem extension (φ=1)80C2.36(C2xD4xD5)320,1276
C2.37(C2×D4×D5) = C10.372+ 1+4central stem extension (φ=1)80C2.37(C2xD4xD5)320,1277
C2.38(C2×D4×D5) = C4⋊C4⋊21D10central stem extension (φ=1)80C2.38(C2xD4xD5)320,1278
C2.39(C2×D4×D5) = C10.382+ 1+4central stem extension (φ=1)80C2.39(C2xD4xD5)320,1279
C2.40(C2×D4×D5) = C10.392+ 1+4central stem extension (φ=1)160C2.40(C2xD4xD5)320,1280
C2.41(C2×D4×D5) = D20⋊19D4central stem extension (φ=1)80C2.41(C2xD4xD5)320,1281
C2.42(C2×D4×D5) = C10.402+ 1+4central stem extension (φ=1)80C2.42(C2xD4xD5)320,1282
C2.43(C2×D4×D5) = C10.732- 1+4central stem extension (φ=1)160C2.43(C2xD4xD5)320,1283
C2.44(C2×D4×D5) = D20⋊20D4central stem extension (φ=1)80C2.44(C2xD4xD5)320,1284
C2.45(C2×D4×D5) = D5×C22⋊Q8central stem extension (φ=1)80C2.45(C2xD4xD5)320,1298
C2.46(C2×D4×D5) = C4⋊C4⋊26D10central stem extension (φ=1)80C2.46(C2xD4xD5)320,1299
C2.47(C2×D4×D5) = C10.162- 1+4central stem extension (φ=1)160C2.47(C2xD4xD5)320,1300
C2.48(C2×D4×D5) = C10.172- 1+4central stem extension (φ=1)160C2.48(C2xD4xD5)320,1301
C2.49(C2×D4×D5) = D20⋊21D4central stem extension (φ=1)80C2.49(C2xD4xD5)320,1302
C2.50(C2×D4×D5) = D20⋊22D4central stem extension (φ=1)160C2.50(C2xD4xD5)320,1303
C2.51(C2×D4×D5) = Dic10⋊21D4central stem extension (φ=1)160C2.51(C2xD4xD5)320,1304
C2.52(C2×D4×D5) = Dic10⋊22D4central stem extension (φ=1)160C2.52(C2xD4xD5)320,1305
C2.53(C2×D4×D5) = C10.792- 1+4central stem extension (φ=1)160C2.53(C2xD4xD5)320,1320
C2.54(C2×D4×D5) = D5×C22.D4central stem extension (φ=1)80C2.54(C2xD4xD5)320,1324
C2.55(C2×D4×D5) = C10.1202+ 1+4central stem extension (φ=1)80C2.55(C2xD4xD5)320,1325
C2.56(C2×D4×D5) = C10.1212+ 1+4central stem extension (φ=1)80C2.56(C2xD4xD5)320,1326
C2.57(C2×D4×D5) = C10.822- 1+4central stem extension (φ=1)160C2.57(C2xD4xD5)320,1327
C2.58(C2×D4×D5) = C4⋊C4⋊28D10central stem extension (φ=1)80C2.58(C2xD4xD5)320,1328
C2.59(C2×D4×D5) = C42.233D10central stem extension (φ=1)160C2.59(C2xD4xD5)320,1340
C2.60(C2×D4×D5) = D5×C4.4D4central stem extension (φ=1)80C2.60(C2xD4xD5)320,1345
C2.61(C2×D4×D5) = C42⋊18D10central stem extension (φ=1)80C2.61(C2xD4xD5)320,1346
C2.62(C2×D4×D5) = C42.141D10central stem extension (φ=1)160C2.62(C2xD4xD5)320,1347
C2.63(C2×D4×D5) = D20⋊10D4central stem extension (φ=1)80C2.63(C2xD4xD5)320,1348
C2.64(C2×D4×D5) = Dic10⋊10D4central stem extension (φ=1)160C2.64(C2xD4xD5)320,1349
C2.65(C2×D4×D5) = D5×C4⋊1D4central stem extension (φ=1)80C2.65(C2xD4xD5)320,1386
C2.66(C2×D4×D5) = C42⋊26D10central stem extension (φ=1)80C2.66(C2xD4xD5)320,1387
C2.67(C2×D4×D5) = C42.238D10central stem extension (φ=1)160C2.67(C2xD4xD5)320,1388
C2.68(C2×D4×D5) = D20⋊11D4central stem extension (φ=1)80C2.68(C2xD4xD5)320,1389
C2.69(C2×D4×D5) = Dic10⋊11D4central stem extension (φ=1)160C2.69(C2xD4xD5)320,1390
C2.70(C2×D4×D5) = D5×C4⋊Q8central stem extension (φ=1)160C2.70(C2xD4xD5)320,1395
C2.71(C2×D4×D5) = C42.171D10central stem extension (φ=1)160C2.71(C2xD4xD5)320,1396
C2.72(C2×D4×D5) = C42.240D10central stem extension (φ=1)160C2.72(C2xD4xD5)320,1397
C2.73(C2×D4×D5) = D20⋊12D4central stem extension (φ=1)160C2.73(C2xD4xD5)320,1398
C2.74(C2×D4×D5) = D20⋊8Q8central stem extension (φ=1)160C2.74(C2xD4xD5)320,1399
C2.75(C2×D4×D5) = C2×D5×D8central stem extension (φ=1)80C2.75(C2xD4xD5)320,1426
C2.76(C2×D4×D5) = C2×D8⋊D5central stem extension (φ=1)80C2.76(C2xD4xD5)320,1427
C2.77(C2×D4×D5) = C2×D8⋊3D5central stem extension (φ=1)160C2.77(C2xD4xD5)320,1428
C2.78(C2×D4×D5) = D8⋊13D10central stem extension (φ=1)804C2.78(C2xD4xD5)320,1429
C2.79(C2×D4×D5) = C2×D5×SD16central stem extension (φ=1)80C2.79(C2xD4xD5)320,1430
C2.80(C2×D4×D5) = C2×D40⋊C2central stem extension (φ=1)80C2.80(C2xD4xD5)320,1431
C2.81(C2×D4×D5) = C2×SD16⋊D5central stem extension (φ=1)160C2.81(C2xD4xD5)320,1432
C2.82(C2×D4×D5) = C2×SD16⋊3D5central stem extension (φ=1)160C2.82(C2xD4xD5)320,1433
C2.83(C2×D4×D5) = D20.29D4central stem extension (φ=1)804C2.83(C2xD4xD5)320,1434
C2.84(C2×D4×D5) = C2×D5×Q16central stem extension (φ=1)160C2.84(C2xD4xD5)320,1435
C2.85(C2×D4×D5) = C2×Q16⋊D5central stem extension (φ=1)160C2.85(C2xD4xD5)320,1436
C2.86(C2×D4×D5) = C2×Q8.D10central stem extension (φ=1)160C2.86(C2xD4xD5)320,1437
C2.87(C2×D4×D5) = D20.30D4central stem extension (φ=1)1604C2.87(C2xD4xD5)320,1438
C2.88(C2×D4×D5) = D5×C4○D8central stem extension (φ=1)804C2.88(C2xD4xD5)320,1439
C2.89(C2×D4×D5) = Q16⋊D10central stem extension (φ=1)804C2.89(C2xD4xD5)320,1440
C2.90(C2×D4×D5) = D8⋊15D10central stem extension (φ=1)804+C2.90(C2xD4xD5)320,1441
C2.91(C2×D4×D5) = D8⋊11D10central stem extension (φ=1)804C2.91(C2xD4xD5)320,1442
C2.92(C2×D4×D5) = D20.47D4central stem extension (φ=1)1604-C2.92(C2xD4xD5)320,1443
C2.93(C2×D4×D5) = D5×C8⋊C22central stem extension (φ=1)408+C2.93(C2xD4xD5)320,1444
C2.94(C2×D4×D5) = SD16⋊D10central stem extension (φ=1)808-C2.94(C2xD4xD5)320,1445
C2.95(C2×D4×D5) = D8⋊5D10central stem extension (φ=1)808+C2.95(C2xD4xD5)320,1446
C2.96(C2×D4×D5) = D8⋊6D10central stem extension (φ=1)808-C2.96(C2xD4xD5)320,1447
C2.97(C2×D4×D5) = D5×C8.C22central stem extension (φ=1)808-C2.97(C2xD4xD5)320,1448
C2.98(C2×D4×D5) = D40⋊C22central stem extension (φ=1)808+C2.98(C2xD4xD5)320,1449
C2.99(C2×D4×D5) = C40.C23central stem extension (φ=1)808+C2.99(C2xD4xD5)320,1450
C2.100(C2×D4×D5) = D20.44D4central stem extension (φ=1)1608-C2.100(C2xD4xD5)320,1451
C2.101(C2×D4×D5) = C2×C23⋊D10central stem extension (φ=1)80C2.101(C2xD4xD5)320,1471
C2.102(C2×D4×D5) = C2×C20⋊2D4central stem extension (φ=1)160C2.102(C2xD4xD5)320,1472
C2.103(C2×D4×D5) = D4×C5⋊D4central stem extension (φ=1)80C2.103(C2xD4xD5)320,1473
C2.104(C2×D4×D5) = C2×Dic5⋊D4central stem extension (φ=1)160C2.104(C2xD4xD5)320,1474
C2.105(C2×D4×D5) = C2×C20⋊D4central stem extension (φ=1)160C2.105(C2xD4xD5)320,1475

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