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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C4oD4

Direct product G=NxQ with N=Dic5 and Q=C4oD4
dρLabelID
C4oD4xDic5160C4oD4xDic5320,1498

Semidirect products G=N:Q with N=Dic5 and Q=C4oD4
extensionφ:Q→Out NdρLabelID
Dic5:1(C4oD4) = C42.228D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5:1(C4oD4)320,1220
Dic5:2(C4oD4) = C20:(C4oD4)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5:2(C4oD4)320,1268
Dic5:3(C4oD4) = C42.233D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5:3(C4oD4)320,1340
Dic5:4(C4oD4) = (C2xC20):17D4φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5:4(C4oD4)320,1504
Dic5:5(C4oD4) = D20:22D4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5:5(C4oD4)320,1303
Dic5:6(C4oD4) = C10.822- 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5:6(C4oD4)320,1327
Dic5:7(C4oD4) = C10.1042- 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5:7(C4oD4)320,1496
Dic5:8(C4oD4) = Dic10:20D4φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5:8(C4oD4)320,1271
Dic5:9(C4oD4) = C10.1482+ 1+4φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5:9(C4oD4)320,1506
Dic5:10(C4oD4) = C42.188D10φ: trivial image160Dic5:10(C4oD4)320,1194
Dic5:11(C4oD4) = C4xD4:2D5φ: trivial image160Dic5:11(C4oD4)320,1208
Dic5:12(C4oD4) = C4xQ8:2D5φ: trivial image160Dic5:12(C4oD4)320,1245

Non-split extensions G=N.Q with N=Dic5 and Q=C4oD4
extensionφ:Q→Out NdρLabelID
Dic5.1(C4oD4) = D8xF5φ: C4oD4/C4 → C22 ⊆ Out Dic5408+Dic5.1(C4oD4)320,1068
Dic5.2(C4oD4) = D40:C4φ: C4oD4/C4 → C22 ⊆ Out Dic5408+Dic5.2(C4oD4)320,1069
Dic5.3(C4oD4) = SD16xF5φ: C4oD4/C4 → C22 ⊆ Out Dic5408Dic5.3(C4oD4)320,1072
Dic5.4(C4oD4) = SD16:F5φ: C4oD4/C4 → C22 ⊆ Out Dic5408Dic5.4(C4oD4)320,1073
Dic5.5(C4oD4) = Q16xF5φ: C4oD4/C4 → C22 ⊆ Out Dic5808-Dic5.5(C4oD4)320,1076
Dic5.6(C4oD4) = Dic20:C4φ: C4oD4/C4 → C22 ⊆ Out Dic5808-Dic5.6(C4oD4)320,1077
Dic5.7(C4oD4) = C42.88D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.7(C4oD4)320,1189
Dic5.8(C4oD4) = C42.93D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.8(C4oD4)320,1200
Dic5.9(C4oD4) = C42.102D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.9(C4oD4)320,1210
Dic5.10(C4oD4) = C42.232D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.10(C4oD4)320,1250
Dic5.11(C4oD4) = C10.442+ 1+4φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.11(C4oD4)320,1287
Dic5.12(C4oD4) = (Q8xDic5):C2φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.12(C4oD4)320,1294
Dic5.13(C4oD4) = C10.222- 1+4φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.13(C4oD4)320,1312
Dic5.14(C4oD4) = C4:C4.197D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.14(C4oD4)320,1321
Dic5.15(C4oD4) = C10.842- 1+4φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.15(C4oD4)320,1334
Dic5.16(C4oD4) = C10.662+ 1+4φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.16(C4oD4)320,1335
Dic5.17(C4oD4) = C42.137D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.17(C4oD4)320,1341
Dic5.18(C4oD4) = C42.236D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.18(C4oD4)320,1360
Dic5.19(C4oD4) = C42.154D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.19(C4oD4)320,1368
Dic5.20(C4oD4) = C42.159D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.20(C4oD4)320,1373
Dic5.21(C4oD4) = C42.189D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.21(C4oD4)320,1378
Dic5.22(C4oD4) = C42.164D10φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.22(C4oD4)320,1382
Dic5.23(C4oD4) = C42.6F5φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.23(C4oD4)320,1016
Dic5.24(C4oD4) = C42.12F5φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.24(C4oD4)320,1018
Dic5.25(C4oD4) = C42.15F5φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.25(C4oD4)320,1021
Dic5.26(C4oD4) = C42.7F5φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.26(C4oD4)320,1022
Dic5.27(C4oD4) = C23.(C2xF5)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.27(C4oD4)320,1035
Dic5.28(C4oD4) = C4:C4.7F5φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.28(C4oD4)320,1044
Dic5.29(C4oD4) = Dic5.12M4(2)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.29(C4oD4)320,1086
Dic5.30(C4oD4) = C20.34M4(2)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.30(C4oD4)320,1092
Dic5.31(C4oD4) = Dic5.13M4(2)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.31(C4oD4)320,1095
Dic5.32(C4oD4) = C20.30M4(2)φ: C4oD4/C2xC4 → C2 ⊆ Out Dic5160Dic5.32(C4oD4)320,1097
Dic5.33(C4oD4) = C42.96D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.33(C4oD4)320,1203
Dic5.34(C4oD4) = C42.97D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.34(C4oD4)320,1204
Dic5.35(C4oD4) = D4:5Dic10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.35(C4oD4)320,1211
Dic5.36(C4oD4) = C42.104D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.36(C4oD4)320,1212
Dic5.37(C4oD4) = C42.122D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.37(C4oD4)320,1240
Dic5.38(C4oD4) = C10.342+ 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.38(C4oD4)320,1273
Dic5.39(C4oD4) = C10.452+ 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.39(C4oD4)320,1288
Dic5.40(C4oD4) = C10.522+ 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.40(C4oD4)320,1308
Dic5.41(C4oD4) = C10.802- 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.41(C4oD4)320,1322
Dic5.42(C4oD4) = C10.642+ 1+4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.42(C4oD4)320,1333
Dic5.43(C4oD4) = C42.138D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.43(C4oD4)320,1342
Dic5.44(C4oD4) = C42.139D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.44(C4oD4)320,1343
Dic5.45(C4oD4) = D20:7Q8φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.45(C4oD4)320,1362
Dic5.46(C4oD4) = C42.151D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.46(C4oD4)320,1365
Dic5.47(C4oD4) = C42.160D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.47(C4oD4)320,1374
Dic5.48(C4oD4) = C42.162D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.48(C4oD4)320,1380
Dic5.49(C4oD4) = C42.163D10φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.49(C4oD4)320,1381
Dic5.50(C4oD4) = C5:C8:8D4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.50(C4oD4)320,1030
Dic5.51(C4oD4) = C5:C8:D4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.51(C4oD4)320,1031
Dic5.52(C4oD4) = D10:M4(2)φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.52(C4oD4)320,1032
Dic5.53(C4oD4) = Dic5:M4(2)φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.53(C4oD4)320,1033
Dic5.54(C4oD4) = D20:2C8φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.54(C4oD4)320,1040
Dic5.55(C4oD4) = D10:2M4(2)φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.55(C4oD4)320,1042
Dic5.56(C4oD4) = C20:M4(2)φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.56(C4oD4)320,1043
Dic5.57(C4oD4) = D4xC5:C8φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.57(C4oD4)320,1110
Dic5.58(C4oD4) = C5:C8:7D4φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.58(C4oD4)320,1111
Dic5.59(C4oD4) = C20:2M4(2)φ: C4oD4/D4 → C2 ⊆ Out Dic5160Dic5.59(C4oD4)320,1112
Dic5.60(C4oD4) = C42.98D10φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5.60(C4oD4)320,1205
Dic5.61(C4oD4) = C42.114D10φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5.61(C4oD4)320,1231
Dic5.62(C4oD4) = Q8:5Dic10φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.62(C4oD4)320,1241
Dic5.63(C4oD4) = C10.232- 1+4φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5.63(C4oD4)320,1313
Dic5.64(C4oD4) = C10.672+ 1+4φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5.64(C4oD4)320,1336
Dic5.65(C4oD4) = C42.143D10φ: C4oD4/Q8 → C2 ⊆ Out Dic5160Dic5.65(C4oD4)320,1353
Dic5.66(C4oD4) = Dic10:7Q8φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.66(C4oD4)320,1357
Dic5.67(C4oD4) = Dic10:C8φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.67(C4oD4)320,1041
Dic5.68(C4oD4) = Dic5.M4(2)φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.68(C4oD4)320,1045
Dic5.69(C4oD4) = C20.M4(2)φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.69(C4oD4)320,1047
Dic5.70(C4oD4) = Q8xC5:C8φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.70(C4oD4)320,1124
Dic5.71(C4oD4) = C20.6M4(2)φ: C4oD4/Q8 → C2 ⊆ Out Dic5320Dic5.71(C4oD4)320,1126
Dic5.72(C4oD4) = C4:C4.178D10φ: trivial image160Dic5.72(C4oD4)320,1272
Dic5.73(C4oD4) = C22:Q8:25D5φ: trivial image160Dic5.73(C4oD4)320,1296
Dic5.74(C4oD4) = C42.234D10φ: trivial image160Dic5.74(C4oD4)320,1352
Dic5.75(C4oD4) = C42.237D10φ: trivial image160Dic5.75(C4oD4)320,1363

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