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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×D4

Direct product G=N×Q with N=Dic5 and Q=C2×D4
dρLabelID
C2×D4×Dic5160C2xD4xDic5320,1467

Semidirect products G=N:Q with N=Dic5 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C2×D4) = D5×C4⋊1D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5:1(C2xD4)320,1386
Dic5⋊2(C2×D4) = C2×C20⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5:2(C2xD4)320,1475
Dic5⋊3(C2×D4) = C24⋊4D10φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5:3(C2xD4)320,1262
Dic5⋊4(C2×D4) = D20⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5:4(C2xD4)320,1281
Dic5⋊5(C2×D4) = D4×C5⋊D4φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5:5(C2xD4)320,1473
Dic5⋊6(C2×D4) = C2×D10⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5:6(C2xD4)320,1161
Dic5⋊7(C2×D4) = D5×C4⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5:7(C2xD4)320,1276
Dic5⋊8(C2×D4) = C2×Dic5⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5:8(C2xD4)320,1474
Dic5⋊9(C2×D4) = C2×Dic5⋊4D4φ: trivial image160Dic5:9(C2xD4)320,1157
Dic5⋊10(C2×D4) = C2×D20⋊8C4φ: trivial image160Dic5:10(C2xD4)320,1175
Dic5⋊11(C2×D4) = C4×D4×D5φ: trivial image80Dic5:11(C2xD4)320,1216

Non-split extensions G=N.Q with N=Dic5 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×D4) = C2×Dic5.D4φ: C2×D4/C22 → C22 ⊆ Out Dic5160Dic5.1(C2xD4)320,1098
Dic5.2(C2×D4) = (C4×D5).D4φ: C2×D4/C22 → C22 ⊆ Out Dic5804Dic5.2(C2xD4)320,1099
Dic5.3(C2×D4) = C2×D20⋊C4φ: C2×D4/C22 → C22 ⊆ Out Dic580Dic5.3(C2xD4)320,1104
Dic5.4(C2×D4) = (D4×C10)⋊C4φ: C2×D4/C22 → C22 ⊆ Out Dic5408+Dic5.4(C2xD4)320,1105
Dic5.5(C2×D4) = (C2×D4).9F5φ: C2×D4/C22 → C22 ⊆ Out Dic5808-Dic5.5(C2xD4)320,1115
Dic5.6(C2×D4) = D5⋊(C4.D4)φ: C2×D4/C22 → C22 ⊆ Out Dic5408+Dic5.6(C2xD4)320,1116
Dic5.7(C2×D4) = C2×Q8⋊F5φ: C2×D4/C22 → C22 ⊆ Out Dic580Dic5.7(C2xD4)320,1119
Dic5.8(C2×D4) = (C2×Q8)⋊4F5φ: C2×D4/C22 → C22 ⊆ Out Dic5808-Dic5.8(C2xD4)320,1120
Dic5.9(C2×D4) = (C2×Q8).7F5φ: C2×D4/C22 → C22 ⊆ Out Dic5808-Dic5.9(C2xD4)320,1127
Dic5.10(C2×D4) = C4○D4⋊F5φ: C2×D4/C22 → C22 ⊆ Out Dic5408Dic5.10(C2xD4)320,1131
Dic5.11(C2×D4) = C4○D20⋊C4φ: C2×D4/C22 → C22 ⊆ Out Dic5808Dic5.11(C2xD4)320,1132
Dic5.12(C2×D4) = C2×C23.F5φ: C2×D4/C22 → C22 ⊆ Out Dic580Dic5.12(C2xD4)320,1137
Dic5.13(C2×D4) = C2×Dic5.5D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.13(C2xD4)320,1163
Dic5.14(C2×D4) = C2×C20⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5320Dic5.14(C2xD4)320,1169
Dic5.15(C2×D4) = C42.228D10φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.15(C2xD4)320,1220
Dic5.16(C2×D4) = C24.34D10φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5.16(C2xD4)320,1264
Dic5.17(C2×D4) = C20⋊(C4○D4)φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.17(C2xD4)320,1268
Dic5.18(C2×D4) = C10.382+ 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5.18(C2xD4)320,1279
Dic5.19(C2×D4) = C10.162- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.19(C2xD4)320,1300
Dic5.20(C2×D4) = C10.792- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.20(C2xD4)320,1320
Dic5.21(C2×D4) = D5×C4.4D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5.21(C2xD4)320,1345
Dic5.22(C2×D4) = D5×C4⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.22(C2xD4)320,1395
Dic5.23(C2×D4) = C2×D5×D8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5.23(C2xD4)320,1426
Dic5.24(C2×D4) = C2×D5×SD16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic580Dic5.24(C2xD4)320,1430
Dic5.25(C2×D4) = C2×D5×Q16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.25(C2xD4)320,1435
Dic5.26(C2×D4) = C42.11F5φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.26(C2xD4)320,1017
Dic5.27(C2×D4) = C20⋊3M4(2)φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.27(C2xD4)320,1019
Dic5.28(C2×D4) = C42.14F5φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.28(C2xD4)320,1020
Dic5.29(C2×D4) = C20⋊C8⋊C2φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.29(C2xD4)320,1034
Dic5.30(C2×D4) = C4⋊C4.9F5φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.30(C2xD4)320,1046
Dic5.31(C2×D4) = C2×C40.C4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.31(C2xD4)320,1060
Dic5.32(C2×D4) = C2×D10.Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.32(C2xD4)320,1061
Dic5.33(C2×D4) = (C8×D5).C4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5804Dic5.33(C2xD4)320,1062
Dic5.34(C2×D4) = M4(2).1F5φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5808Dic5.34(C2xD4)320,1067
Dic5.35(C2×D4) = C2×C20⋊C8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5320Dic5.35(C2xD4)320,1085
Dic5.36(C2×D4) = C2×Dic5⋊C8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5320Dic5.36(C2xD4)320,1090
Dic5.37(C2×D4) = C20⋊8M4(2)φ: C2×D4/C2×C4 → C2 ⊆ Out Dic5160Dic5.37(C2xD4)320,1096
Dic5.38(C2×D4) = C24.27D10φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5.38(C2xD4)320,1162
Dic5.39(C2×D4) = C10.2- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.39(C2xD4)320,1179
Dic5.40(C2×D4) = D4×Dic10φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.40(C2xD4)320,1209
Dic5.41(C2×D4) = Dic10⋊23D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.41(C2xD4)320,1224
Dic5.42(C2×D4) = Dic10⋊24D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.42(C2xD4)320,1225
Dic5.43(C2×D4) = C24.33D10φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5.43(C2xD4)320,1263
Dic5.44(C2×D4) = Dic10⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.44(C2xD4)320,1270
Dic5.45(C2×D4) = Dic10⋊20D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.45(C2xD4)320,1271
Dic5.46(C2×D4) = C10.402+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5.46(C2xD4)320,1282
Dic5.47(C2×D4) = C10.732- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.47(C2xD4)320,1283
Dic5.48(C2×D4) = Dic10⋊21D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.48(C2xD4)320,1304
Dic5.49(C2×D4) = Dic10⋊22D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.49(C2xD4)320,1305
Dic5.50(C2×D4) = C10.1212+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic580Dic5.50(C2xD4)320,1326
Dic5.51(C2×D4) = C10.822- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.51(C2xD4)320,1327
Dic5.52(C2×D4) = Dic10⋊10D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.52(C2xD4)320,1349
Dic5.53(C2×D4) = Dic10⋊11D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.53(C2xD4)320,1390
Dic5.54(C2×D4) = D20⋊8Q8φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.54(C2xD4)320,1399
Dic5.55(C2×D4) = D8⋊13D10φ: C2×D4/D4 → C2 ⊆ Out Dic5804Dic5.55(C2xD4)320,1429
Dic5.56(C2×D4) = D20.29D4φ: C2×D4/D4 → C2 ⊆ Out Dic5804Dic5.56(C2xD4)320,1434
Dic5.57(C2×D4) = D20.30D4φ: C2×D4/D4 → C2 ⊆ Out Dic51604Dic5.57(C2xD4)320,1438
Dic5.58(C2×D4) = D8⋊15D10φ: C2×D4/D4 → C2 ⊆ Out Dic5804+Dic5.58(C2xD4)320,1441
Dic5.59(C2×D4) = D8⋊11D10φ: C2×D4/D4 → C2 ⊆ Out Dic5804Dic5.59(C2xD4)320,1442
Dic5.60(C2×D4) = D20.47D4φ: C2×D4/D4 → C2 ⊆ Out Dic51604-Dic5.60(C2xD4)320,1443
Dic5.61(C2×D4) = D8⋊5D10φ: C2×D4/D4 → C2 ⊆ Out Dic5808+Dic5.61(C2xD4)320,1446
Dic5.62(C2×D4) = D8⋊6D10φ: C2×D4/D4 → C2 ⊆ Out Dic5808-Dic5.62(C2xD4)320,1447
Dic5.63(C2×D4) = C40.C23φ: C2×D4/D4 → C2 ⊆ Out Dic5808+Dic5.63(C2xD4)320,1450
Dic5.64(C2×D4) = D20.44D4φ: C2×D4/D4 → C2 ⊆ Out Dic51608-Dic5.64(C2xD4)320,1451
Dic5.65(C2×D4) = C5⋊C8⋊8D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.65(C2xD4)320,1030
Dic5.66(C2×D4) = C5⋊C8⋊D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.66(C2xD4)320,1031
Dic5.67(C2×D4) = D10⋊M4(2)φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.67(C2xD4)320,1032
Dic5.68(C2×D4) = Dic5⋊M4(2)φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.68(C2xD4)320,1033
Dic5.69(C2×D4) = D20⋊2C8φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.69(C2xD4)320,1040
Dic5.70(C2×D4) = D10⋊2M4(2)φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.70(C2xD4)320,1042
Dic5.71(C2×D4) = C20⋊M4(2)φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.71(C2xD4)320,1043
Dic5.72(C2×D4) = D8⋊5F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808-Dic5.72(C2xD4)320,1070
Dic5.73(C2×D4) = D8⋊F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808-Dic5.73(C2xD4)320,1071
Dic5.74(C2×D4) = SD16⋊3F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808Dic5.74(C2xD4)320,1074
Dic5.75(C2×D4) = SD16⋊2F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808Dic5.75(C2xD4)320,1075
Dic5.76(C2×D4) = Q16⋊5F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808+Dic5.76(C2xD4)320,1078
Dic5.77(C2×D4) = Q16⋊F5φ: C2×D4/D4 → C2 ⊆ Out Dic5808+Dic5.77(C2xD4)320,1079
Dic5.78(C2×D4) = D4×C5⋊C8φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.78(C2xD4)320,1110
Dic5.79(C2×D4) = C5⋊C8⋊7D4φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.79(C2xD4)320,1111
Dic5.80(C2×D4) = C20⋊2M4(2)φ: C2×D4/D4 → C2 ⊆ Out Dic5160Dic5.80(C2xD4)320,1112
Dic5.81(C2×D4) = C2×Dic5.14D4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.81(C2xD4)320,1153
Dic5.82(C2×D4) = C2×D10⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.82(C2xD4)320,1180
Dic5.83(C2×D4) = C42⋊12D10φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.83(C2xD4)320,1219
Dic5.84(C2×D4) = C24.56D10φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.84(C2xD4)320,1258
Dic5.85(C2×D4) = C10.682- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.85(C2xD4)320,1269
Dic5.86(C2×D4) = C10.392+ 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.86(C2xD4)320,1280
Dic5.87(C2×D4) = D5×C22⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.87(C2xD4)320,1298
Dic5.88(C2×D4) = C10.172- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.88(C2xD4)320,1301
Dic5.89(C2×D4) = C4⋊C4⋊28D10φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.89(C2xD4)320,1328
Dic5.90(C2×D4) = C42⋊18D10φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.90(C2xD4)320,1346
Dic5.91(C2×D4) = C42.141D10φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.91(C2xD4)320,1347
Dic5.92(C2×D4) = C42⋊26D10φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.92(C2xD4)320,1387
Dic5.93(C2×D4) = C42.171D10φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.93(C2xD4)320,1396
Dic5.94(C2×D4) = C2×D8⋊D5φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.94(C2xD4)320,1427
Dic5.95(C2×D4) = C2×D40⋊C2φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.95(C2xD4)320,1431
Dic5.96(C2×D4) = C2×SD16⋊D5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.96(C2xD4)320,1432
Dic5.97(C2×D4) = C2×Q16⋊D5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.97(C2xD4)320,1436
Dic5.98(C2×D4) = Q16⋊D10φ: C2×D4/C23 → C2 ⊆ Out Dic5804Dic5.98(C2xD4)320,1440
Dic5.99(C2×D4) = D5×C8⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic5408+Dic5.99(C2xD4)320,1444
Dic5.100(C2×D4) = SD16⋊D10φ: C2×D4/C23 → C2 ⊆ Out Dic5808-Dic5.100(C2xD4)320,1445
Dic5.101(C2×D4) = D5×C8.C22φ: C2×D4/C23 → C2 ⊆ Out Dic5808-Dic5.101(C2xD4)320,1448
Dic5.102(C2×D4) = D40⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic5808+Dic5.102(C2xD4)320,1449
Dic5.103(C2×D4) = C2×D10⋊C8φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.103(C2xD4)320,1089
Dic5.104(C2×D4) = D10.11M4(2)φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.104(C2xD4)320,1091
Dic5.105(C2×D4) = D10⋊9M4(2)φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.105(C2xD4)320,1093
Dic5.106(C2×D4) = D10⋊10M4(2)φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.106(C2xD4)320,1094
Dic5.107(C2×D4) = C2×D4⋊F5φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.107(C2xD4)320,1106
Dic5.108(C2×D4) = (C2×D4)⋊6F5φ: C2×D4/C23 → C2 ⊆ Out Dic5808-Dic5.108(C2xD4)320,1107
Dic5.109(C2×D4) = (C2×D4).7F5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.109(C2xD4)320,1113
Dic5.110(C2×D4) = (C2×D4).8F5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.110(C2xD4)320,1114
Dic5.111(C2×D4) = C2×Q8⋊2F5φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.111(C2xD4)320,1121
Dic5.112(C2×D4) = (C2×Q8)⋊6F5φ: C2×D4/C23 → C2 ⊆ Out Dic5808+Dic5.112(C2xD4)320,1122
Dic5.113(C2×D4) = (C2×Q8).5F5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.113(C2xD4)320,1125
Dic5.114(C2×D4) = D5⋊C4≀C2φ: C2×D4/C23 → C2 ⊆ Out Dic5408Dic5.114(C2xD4)320,1130
Dic5.115(C2×D4) = D4⋊F5⋊C2φ: C2×D4/C23 → C2 ⊆ Out Dic5808Dic5.115(C2xD4)320,1133
Dic5.116(C2×D4) = C2×C23.2F5φ: C2×D4/C23 → C2 ⊆ Out Dic5160Dic5.116(C2xD4)320,1135
Dic5.117(C2×D4) = C24.4F5φ: C2×D4/C23 → C2 ⊆ Out Dic580Dic5.117(C2xD4)320,1136
Dic5.118(C2×D4) = C4⋊C4⋊21D10φ: trivial image80Dic5.118(C2xD4)320,1278
Dic5.119(C2×D4) = C4⋊C4⋊26D10φ: trivial image80Dic5.119(C2xD4)320,1299
Dic5.120(C2×D4) = C42.233D10φ: trivial image160Dic5.120(C2xD4)320,1340
Dic5.121(C2×D4) = C42.238D10φ: trivial image160Dic5.121(C2xD4)320,1388
Dic5.122(C2×D4) = C42.240D10φ: trivial image160Dic5.122(C2xD4)320,1397
Dic5.123(C2×D4) = C2×D8⋊3D5φ: trivial image160Dic5.123(C2xD4)320,1428
Dic5.124(C2×D4) = C2×SD16⋊3D5φ: trivial image160Dic5.124(C2xD4)320,1433
Dic5.125(C2×D4) = C2×Q8.D10φ: trivial image160Dic5.125(C2xD4)320,1437
Dic5.126(C2×D4) = D5×C4○D8φ: trivial image804Dic5.126(C2xD4)320,1439

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