Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2xD4

Direct product G=NxQ with N=Dic3 and Q=C2xD4
dρLabelID
C2xD4xDic396C2xD4xDic3192,1354

Semidirect products G=N:Q with N=Dic3 and Q=C2xD4
extensionφ:Q→Out NdρLabelID
Dic3:1(C2xD4) = S3xC4:1D4φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3:1(C2xD4)192,1273
Dic3:2(C2xD4) = C2xC12:3D4φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3:2(C2xD4)192,1362
Dic3:3(C2xD4) = C24:8D6φ: C2xD4/D4C2 ⊆ Out Dic348Dic3:3(C2xD4)192,1149
Dic3:4(C2xD4) = D12:19D4φ: C2xD4/D4C2 ⊆ Out Dic348Dic3:4(C2xD4)192,1168
Dic3:5(C2xD4) = D4xC3:D4φ: C2xD4/D4C2 ⊆ Out Dic348Dic3:5(C2xD4)192,1360
Dic3:6(C2xD4) = C2xDic3:D4φ: C2xD4/C23C2 ⊆ Out Dic396Dic3:6(C2xD4)192,1048
Dic3:7(C2xD4) = S3xC4:D4φ: C2xD4/C23C2 ⊆ Out Dic348Dic3:7(C2xD4)192,1163
Dic3:8(C2xD4) = C2xC23.14D6φ: C2xD4/C23C2 ⊆ Out Dic396Dic3:8(C2xD4)192,1361
Dic3:9(C2xD4) = C2xDic3:4D4φ: trivial image96Dic3:9(C2xD4)192,1044
Dic3:10(C2xD4) = C2xDic3:5D4φ: trivial image96Dic3:10(C2xD4)192,1062
Dic3:11(C2xD4) = C4xS3xD4φ: trivial image48Dic3:11(C2xD4)192,1103

Non-split extensions G=N.Q with N=Dic3 and Q=C2xD4
extensionφ:Q→Out NdρLabelID
Dic3.1(C2xD4) = C2xC23.11D6φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.1(C2xD4)192,1050
Dic3.2(C2xD4) = C2xC12:Q8φ: C2xD4/C2xC4C2 ⊆ Out Dic3192Dic3.2(C2xD4)192,1056
Dic3.3(C2xD4) = C42.228D6φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.3(C2xD4)192,1107
Dic3.4(C2xD4) = C24.45D6φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3.4(C2xD4)192,1151
Dic3.5(C2xD4) = C12:(C4oD4)φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.5(C2xD4)192,1155
Dic3.6(C2xD4) = C6.382+ 1+4φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3.6(C2xD4)192,1166
Dic3.7(C2xD4) = C6.162- 1+4φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.7(C2xD4)192,1187
Dic3.8(C2xD4) = C6.792- 1+4φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.8(C2xD4)192,1207
Dic3.9(C2xD4) = S3xC4.4D4φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3.9(C2xD4)192,1232
Dic3.10(C2xD4) = S3xC4:Q8φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.10(C2xD4)192,1282
Dic3.11(C2xD4) = C2xS3xD8φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3.11(C2xD4)192,1313
Dic3.12(C2xD4) = C2xS3xSD16φ: C2xD4/C2xC4C2 ⊆ Out Dic348Dic3.12(C2xD4)192,1317
Dic3.13(C2xD4) = C2xS3xQ16φ: C2xD4/C2xC4C2 ⊆ Out Dic396Dic3.13(C2xD4)192,1322
Dic3.14(C2xD4) = C24.38D6φ: C2xD4/D4C2 ⊆ Out Dic348Dic3.14(C2xD4)192,1049
Dic3.15(C2xD4) = C6.2- 1+4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.15(C2xD4)192,1066
Dic3.16(C2xD4) = D4xDic6φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.16(C2xD4)192,1096
Dic3.17(C2xD4) = Dic6:23D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.17(C2xD4)192,1111
Dic3.18(C2xD4) = Dic6:24D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.18(C2xD4)192,1112
Dic3.19(C2xD4) = C24.44D6φ: C2xD4/D4C2 ⊆ Out Dic348Dic3.19(C2xD4)192,1150
Dic3.20(C2xD4) = Dic6:19D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.20(C2xD4)192,1157
Dic3.21(C2xD4) = Dic6:20D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.21(C2xD4)192,1158
Dic3.22(C2xD4) = C6.402+ 1+4φ: C2xD4/D4C2 ⊆ Out Dic348Dic3.22(C2xD4)192,1169
Dic3.23(C2xD4) = C6.732- 1+4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.23(C2xD4)192,1170
Dic3.24(C2xD4) = Dic6:21D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.24(C2xD4)192,1191
Dic3.25(C2xD4) = Dic6:22D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.25(C2xD4)192,1192
Dic3.26(C2xD4) = C6.1212+ 1+4φ: C2xD4/D4C2 ⊆ Out Dic348Dic3.26(C2xD4)192,1213
Dic3.27(C2xD4) = C6.822- 1+4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.27(C2xD4)192,1214
Dic3.28(C2xD4) = Dic6:10D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.28(C2xD4)192,1236
Dic3.29(C2xD4) = Dic6:11D4φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.29(C2xD4)192,1277
Dic3.30(C2xD4) = D12:8Q8φ: C2xD4/D4C2 ⊆ Out Dic396Dic3.30(C2xD4)192,1286
Dic3.31(C2xD4) = D8:13D6φ: C2xD4/D4C2 ⊆ Out Dic3484Dic3.31(C2xD4)192,1316
Dic3.32(C2xD4) = SD16:13D6φ: C2xD4/D4C2 ⊆ Out Dic3484Dic3.32(C2xD4)192,1321
Dic3.33(C2xD4) = D12.30D4φ: C2xD4/D4C2 ⊆ Out Dic3964Dic3.33(C2xD4)192,1325
Dic3.34(C2xD4) = D8:15D6φ: C2xD4/D4C2 ⊆ Out Dic3484+Dic3.34(C2xD4)192,1328
Dic3.35(C2xD4) = D8:11D6φ: C2xD4/D4C2 ⊆ Out Dic3484Dic3.35(C2xD4)192,1329
Dic3.36(C2xD4) = D8.10D6φ: C2xD4/D4C2 ⊆ Out Dic3964-Dic3.36(C2xD4)192,1330
Dic3.37(C2xD4) = D8:5D6φ: C2xD4/D4C2 ⊆ Out Dic3488+Dic3.37(C2xD4)192,1333
Dic3.38(C2xD4) = D8:6D6φ: C2xD4/D4C2 ⊆ Out Dic3488-Dic3.38(C2xD4)192,1334
Dic3.39(C2xD4) = C24.C23φ: C2xD4/D4C2 ⊆ Out Dic3488+Dic3.39(C2xD4)192,1337
Dic3.40(C2xD4) = SD16.D6φ: C2xD4/D4C2 ⊆ Out Dic3968-Dic3.40(C2xD4)192,1338
Dic3.41(C2xD4) = C2xDic3.D4φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.41(C2xD4)192,1040
Dic3.42(C2xD4) = C2xD6:Q8φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.42(C2xD4)192,1067
Dic3.43(C2xD4) = C42:14D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.43(C2xD4)192,1106
Dic3.44(C2xD4) = C24.67D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.44(C2xD4)192,1145
Dic3.45(C2xD4) = C6.322+ 1+4φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.45(C2xD4)192,1156
Dic3.46(C2xD4) = C6.722- 1+4φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.46(C2xD4)192,1167
Dic3.47(C2xD4) = S3xC22:Q8φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.47(C2xD4)192,1185
Dic3.48(C2xD4) = C6.172- 1+4φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.48(C2xD4)192,1188
Dic3.49(C2xD4) = C4:C4:28D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.49(C2xD4)192,1215
Dic3.50(C2xD4) = C42:20D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.50(C2xD4)192,1233
Dic3.51(C2xD4) = C42.141D6φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.51(C2xD4)192,1234
Dic3.52(C2xD4) = C42:28D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.52(C2xD4)192,1274
Dic3.53(C2xD4) = C42.171D6φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.53(C2xD4)192,1283
Dic3.54(C2xD4) = C2xD8:S3φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.54(C2xD4)192,1314
Dic3.55(C2xD4) = C2xQ8:3D6φ: C2xD4/C23C2 ⊆ Out Dic348Dic3.55(C2xD4)192,1318
Dic3.56(C2xD4) = C2xD4.D6φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.56(C2xD4)192,1319
Dic3.57(C2xD4) = C2xQ16:S3φ: C2xD4/C23C2 ⊆ Out Dic396Dic3.57(C2xD4)192,1323
Dic3.58(C2xD4) = SD16:D6φ: C2xD4/C23C2 ⊆ Out Dic3484Dic3.58(C2xD4)192,1327
Dic3.59(C2xD4) = S3xC8:C22φ: C2xD4/C23C2 ⊆ Out Dic3248+Dic3.59(C2xD4)192,1331
Dic3.60(C2xD4) = D8:4D6φ: C2xD4/C23C2 ⊆ Out Dic3488-Dic3.60(C2xD4)192,1332
Dic3.61(C2xD4) = S3xC8.C22φ: C2xD4/C23C2 ⊆ Out Dic3488-Dic3.61(C2xD4)192,1335
Dic3.62(C2xD4) = D24:C22φ: C2xD4/C23C2 ⊆ Out Dic3488+Dic3.62(C2xD4)192,1336
Dic3.63(C2xD4) = C4:C4:21D6φ: trivial image48Dic3.63(C2xD4)192,1165
Dic3.64(C2xD4) = C4:C4:26D6φ: trivial image48Dic3.64(C2xD4)192,1186
Dic3.65(C2xD4) = C42.233D6φ: trivial image96Dic3.65(C2xD4)192,1227
Dic3.66(C2xD4) = C42.238D6φ: trivial image96Dic3.66(C2xD4)192,1275
Dic3.67(C2xD4) = C42.240D6φ: trivial image96Dic3.67(C2xD4)192,1284
Dic3.68(C2xD4) = C2xD8:3S3φ: trivial image96Dic3.68(C2xD4)192,1315
Dic3.69(C2xD4) = C2xQ8.7D6φ: trivial image96Dic3.69(C2xD4)192,1320
Dic3.70(C2xD4) = C2xD24:C2φ: trivial image96Dic3.70(C2xD4)192,1324
Dic3.71(C2xD4) = S3xC4oD8φ: trivial image484Dic3.71(C2xD4)192,1326

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