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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×D4

Direct product G=N×Q with N=Dic3 and Q=C2×D4
dρLabelID
C2×D4×Dic396C2xD4xDic3192,1354

Semidirect products G=N:Q with N=Dic3 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C2×D4) = S3×C4⋊1D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3:1(C2xD4)192,1273
Dic3⋊2(C2×D4) = C2×C12⋊3D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3:2(C2xD4)192,1362
Dic3⋊3(C2×D4) = C24⋊8D6φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3:3(C2xD4)192,1149
Dic3⋊4(C2×D4) = D12⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3:4(C2xD4)192,1168
Dic3⋊5(C2×D4) = D4×C3⋊D4φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3:5(C2xD4)192,1360
Dic3⋊6(C2×D4) = C2×Dic3⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3:6(C2xD4)192,1048
Dic3⋊7(C2×D4) = S3×C4⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3:7(C2xD4)192,1163
Dic3⋊8(C2×D4) = C2×C23.14D6φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3:8(C2xD4)192,1361
Dic3⋊9(C2×D4) = C2×Dic3⋊4D4φ: trivial image96Dic3:9(C2xD4)192,1044
Dic3⋊10(C2×D4) = C2×Dic3⋊5D4φ: trivial image96Dic3:10(C2xD4)192,1062
Dic3⋊11(C2×D4) = C4×S3×D4φ: trivial image48Dic3:11(C2xD4)192,1103

Non-split extensions G=N.Q with N=Dic3 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×D4) = C2×C23.11D6φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.1(C2xD4)192,1050
Dic3.2(C2×D4) = C2×C12⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic3192Dic3.2(C2xD4)192,1056
Dic3.3(C2×D4) = C42.228D6φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.3(C2xD4)192,1107
Dic3.4(C2×D4) = C24.45D6φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3.4(C2xD4)192,1151
Dic3.5(C2×D4) = C12⋊(C4○D4)φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.5(C2xD4)192,1155
Dic3.6(C2×D4) = C6.382+ 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3.6(C2xD4)192,1166
Dic3.7(C2×D4) = C6.162- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.7(C2xD4)192,1187
Dic3.8(C2×D4) = C6.792- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.8(C2xD4)192,1207
Dic3.9(C2×D4) = S3×C4.4D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3.9(C2xD4)192,1232
Dic3.10(C2×D4) = S3×C4⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.10(C2xD4)192,1282
Dic3.11(C2×D4) = C2×S3×D8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3.11(C2xD4)192,1313
Dic3.12(C2×D4) = C2×S3×SD16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic348Dic3.12(C2xD4)192,1317
Dic3.13(C2×D4) = C2×S3×Q16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic396Dic3.13(C2xD4)192,1322
Dic3.14(C2×D4) = C24.38D6φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3.14(C2xD4)192,1049
Dic3.15(C2×D4) = C6.2- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.15(C2xD4)192,1066
Dic3.16(C2×D4) = D4×Dic6φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.16(C2xD4)192,1096
Dic3.17(C2×D4) = Dic6⋊23D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.17(C2xD4)192,1111
Dic3.18(C2×D4) = Dic6⋊24D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.18(C2xD4)192,1112
Dic3.19(C2×D4) = C24.44D6φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3.19(C2xD4)192,1150
Dic3.20(C2×D4) = Dic6⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.20(C2xD4)192,1157
Dic3.21(C2×D4) = Dic6⋊20D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.21(C2xD4)192,1158
Dic3.22(C2×D4) = C6.402+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3.22(C2xD4)192,1169
Dic3.23(C2×D4) = C6.732- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.23(C2xD4)192,1170
Dic3.24(C2×D4) = Dic6⋊21D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.24(C2xD4)192,1191
Dic3.25(C2×D4) = Dic6⋊22D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.25(C2xD4)192,1192
Dic3.26(C2×D4) = C6.1212+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic348Dic3.26(C2xD4)192,1213
Dic3.27(C2×D4) = C6.822- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.27(C2xD4)192,1214
Dic3.28(C2×D4) = Dic6⋊10D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.28(C2xD4)192,1236
Dic3.29(C2×D4) = Dic6⋊11D4φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.29(C2xD4)192,1277
Dic3.30(C2×D4) = D12⋊8Q8φ: C2×D4/D4 → C2 ⊆ Out Dic396Dic3.30(C2xD4)192,1286
Dic3.31(C2×D4) = D8⋊13D6φ: C2×D4/D4 → C2 ⊆ Out Dic3484Dic3.31(C2xD4)192,1316
Dic3.32(C2×D4) = SD16⋊13D6φ: C2×D4/D4 → C2 ⊆ Out Dic3484Dic3.32(C2xD4)192,1321
Dic3.33(C2×D4) = D12.30D4φ: C2×D4/D4 → C2 ⊆ Out Dic3964Dic3.33(C2xD4)192,1325
Dic3.34(C2×D4) = D8⋊15D6φ: C2×D4/D4 → C2 ⊆ Out Dic3484+Dic3.34(C2xD4)192,1328
Dic3.35(C2×D4) = D8⋊11D6φ: C2×D4/D4 → C2 ⊆ Out Dic3484Dic3.35(C2xD4)192,1329
Dic3.36(C2×D4) = D8.10D6φ: C2×D4/D4 → C2 ⊆ Out Dic3964-Dic3.36(C2xD4)192,1330
Dic3.37(C2×D4) = D8⋊5D6φ: C2×D4/D4 → C2 ⊆ Out Dic3488+Dic3.37(C2xD4)192,1333
Dic3.38(C2×D4) = D8⋊6D6φ: C2×D4/D4 → C2 ⊆ Out Dic3488-Dic3.38(C2xD4)192,1334
Dic3.39(C2×D4) = C24.C23φ: C2×D4/D4 → C2 ⊆ Out Dic3488+Dic3.39(C2xD4)192,1337
Dic3.40(C2×D4) = SD16.D6φ: C2×D4/D4 → C2 ⊆ Out Dic3968-Dic3.40(C2xD4)192,1338
Dic3.41(C2×D4) = C2×Dic3.D4φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.41(C2xD4)192,1040
Dic3.42(C2×D4) = C2×D6⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.42(C2xD4)192,1067
Dic3.43(C2×D4) = C42⋊14D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.43(C2xD4)192,1106
Dic3.44(C2×D4) = C24.67D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.44(C2xD4)192,1145
Dic3.45(C2×D4) = C6.322+ 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.45(C2xD4)192,1156
Dic3.46(C2×D4) = C6.722- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.46(C2xD4)192,1167
Dic3.47(C2×D4) = S3×C22⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.47(C2xD4)192,1185
Dic3.48(C2×D4) = C6.172- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.48(C2xD4)192,1188
Dic3.49(C2×D4) = C4⋊C4⋊28D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.49(C2xD4)192,1215
Dic3.50(C2×D4) = C42⋊20D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.50(C2xD4)192,1233
Dic3.51(C2×D4) = C42.141D6φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.51(C2xD4)192,1234
Dic3.52(C2×D4) = C42⋊28D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.52(C2xD4)192,1274
Dic3.53(C2×D4) = C42.171D6φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.53(C2xD4)192,1283
Dic3.54(C2×D4) = C2×D8⋊S3φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.54(C2xD4)192,1314
Dic3.55(C2×D4) = C2×Q8⋊3D6φ: C2×D4/C23 → C2 ⊆ Out Dic348Dic3.55(C2xD4)192,1318
Dic3.56(C2×D4) = C2×D4.D6φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.56(C2xD4)192,1319
Dic3.57(C2×D4) = C2×Q16⋊S3φ: C2×D4/C23 → C2 ⊆ Out Dic396Dic3.57(C2xD4)192,1323
Dic3.58(C2×D4) = SD16⋊D6φ: C2×D4/C23 → C2 ⊆ Out Dic3484Dic3.58(C2xD4)192,1327
Dic3.59(C2×D4) = S3×C8⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic3248+Dic3.59(C2xD4)192,1331
Dic3.60(C2×D4) = D8⋊4D6φ: C2×D4/C23 → C2 ⊆ Out Dic3488-Dic3.60(C2xD4)192,1332
Dic3.61(C2×D4) = S3×C8.C22φ: C2×D4/C23 → C2 ⊆ Out Dic3488-Dic3.61(C2xD4)192,1335
Dic3.62(C2×D4) = D24⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic3488+Dic3.62(C2xD4)192,1336
Dic3.63(C2×D4) = C4⋊C4⋊21D6φ: trivial image48Dic3.63(C2xD4)192,1165
Dic3.64(C2×D4) = C4⋊C4⋊26D6φ: trivial image48Dic3.64(C2xD4)192,1186
Dic3.65(C2×D4) = C42.233D6φ: trivial image96Dic3.65(C2xD4)192,1227
Dic3.66(C2×D4) = C42.238D6φ: trivial image96Dic3.66(C2xD4)192,1275
Dic3.67(C2×D4) = C42.240D6φ: trivial image96Dic3.67(C2xD4)192,1284
Dic3.68(C2×D4) = C2×D8⋊3S3φ: trivial image96Dic3.68(C2xD4)192,1315
Dic3.69(C2×D4) = C2×Q8.7D6φ: trivial image96Dic3.69(C2xD4)192,1320
Dic3.70(C2×D4) = C2×D24⋊C2φ: trivial image96Dic3.70(C2xD4)192,1324
Dic3.71(C2×D4) = S3×C4○D8φ: trivial image484Dic3.71(C2xD4)192,1326

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