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Extensions 1→N→G→Q→1 with N=C23 and Q=C22×S3

Direct product G=N×Q with N=C23 and Q=C22×S3
dρLabelID
S3×C2596S3xC2^5192,1542

Semidirect products G=N:Q with N=C23 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C23⋊(C22×S3) = C23×S4φ: C22×S3/C22 → S3 ⊆ Aut C2324C2^3:(C2^2xS3)192,1537
C23⋊2(C22×S3) = S3×C22≀C2φ: C22×S3/S3 → C22 ⊆ Aut C2324C2^3:2(C2^2xS3)192,1147
C23⋊3(C22×S3) = S3×2+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C23248+C2^3:3(C2^2xS3)192,1524
C23⋊4(C22×S3) = C2×C23⋊2D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3:4(C2^2xS3)192,1358
C23⋊5(C22×S3) = C2×D4⋊6D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3:5(C2^2xS3)192,1516
C23⋊6(C22×S3) = C22×S3×D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3:6(C2^2xS3)192,1514
C23⋊7(C22×S3) = C23×C3⋊D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3:7(C2^2xS3)192,1529

Non-split extensions G=N.Q with N=C23 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C23.1(C22×S3) = C2×A4⋊Q8φ: C22×S3/C22 → S3 ⊆ Aut C2348C2^3.1(C2^2xS3)192,1468
C23.2(C22×S3) = C2×C4×S4φ: C22×S3/C22 → S3 ⊆ Aut C2324C2^3.2(C2^2xS3)192,1469
C23.3(C22×S3) = C2×C4⋊S4φ: C22×S3/C22 → S3 ⊆ Aut C2324C2^3.3(C2^2xS3)192,1470
C23.4(C22×S3) = C24.10D6φ: C22×S3/C22 → S3 ⊆ Aut C23246C2^3.4(C2^2xS3)192,1471
C23.5(C22×S3) = D4×S4φ: C22×S3/C22 → S3 ⊆ Aut C23126+C2^3.5(C2^2xS3)192,1472
C23.6(C22×S3) = D4⋊2S4φ: C22×S3/C22 → S3 ⊆ Aut C23246C2^3.6(C2^2xS3)192,1473
C23.7(C22×S3) = Q8×S4φ: C22×S3/C22 → S3 ⊆ Aut C23246-C2^3.7(C2^2xS3)192,1477
C23.8(C22×S3) = Q8⋊4S4φ: C22×S3/C22 → S3 ⊆ Aut C23246C2^3.8(C2^2xS3)192,1478
C23.9(C22×S3) = C22×A4⋊C4φ: C22×S3/C22 → S3 ⊆ Aut C2348C2^3.9(C2^2xS3)192,1487
C23.10(C22×S3) = C2×A4⋊D4φ: C22×S3/C22 → S3 ⊆ Aut C2324C2^3.10(C2^2xS3)192,1488
C23.11(C22×S3) = C23⋊C4⋊5S3φ: C22×S3/S3 → C22 ⊆ Aut C23488-C2^3.11(C2^2xS3)192,299
C23.12(C22×S3) = C23⋊D12φ: C22×S3/S3 → C22 ⊆ Aut C23248+C2^3.12(C2^2xS3)192,300
C23.13(C22×S3) = C23.5D12φ: C22×S3/S3 → C22 ⊆ Aut C23488-C2^3.13(C2^2xS3)192,301
C23.14(C22×S3) = S3×C23⋊C4φ: C22×S3/S3 → C22 ⊆ Aut C23248+C2^3.14(C2^2xS3)192,302
C23.15(C22×S3) = 2+ 1+4.5S3φ: C22×S3/S3 → C22 ⊆ Aut C23488-C2^3.15(C2^2xS3)192,802
C23.16(C22×S3) = 2+ 1+4⋊7S3φ: C22×S3/S3 → C22 ⊆ Aut C23248+C2^3.16(C2^2xS3)192,803
C23.17(C22×S3) = C24.44D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.17(C2^2xS3)192,1150
C23.18(C22×S3) = C6.322+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.18(C2^2xS3)192,1156
C23.19(C22×S3) = Dic6⋊19D4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.19(C2^2xS3)192,1157
C23.20(C22×S3) = Dic6⋊20D4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.20(C2^2xS3)192,1158
C23.21(C22×S3) = C4⋊C4.178D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.21(C2^2xS3)192,1159
C23.22(C22×S3) = C6.702- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.22(C2^2xS3)192,1161
C23.23(C22×S3) = C6.712- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.23(C2^2xS3)192,1162
C23.24(C22×S3) = S3×C4⋊D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.24(C2^2xS3)192,1163
C23.25(C22×S3) = C4⋊C4⋊21D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.25(C2^2xS3)192,1165
C23.26(C22×S3) = C6.722- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.26(C2^2xS3)192,1167
C23.27(C22×S3) = C6.422+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.27(C2^2xS3)192,1172
C23.28(C22×S3) = C6.432+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.28(C2^2xS3)192,1173
C23.29(C22×S3) = C6.442+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.29(C2^2xS3)192,1174
C23.30(C22×S3) = C6.452+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.30(C2^2xS3)192,1175
C23.31(C22×S3) = C6.462+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.31(C2^2xS3)192,1176
C23.32(C22×S3) = C6.1152+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.32(C2^2xS3)192,1177
C23.33(C22×S3) = C6.472+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.33(C2^2xS3)192,1178
C23.34(C22×S3) = C4⋊C4.197D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.34(C2^2xS3)192,1208
C23.35(C22×S3) = S3×C22.D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.35(C2^2xS3)192,1211
C23.36(C22×S3) = C6.1212+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.36(C2^2xS3)192,1213
C23.37(C22×S3) = C4⋊C4⋊28D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.37(C2^2xS3)192,1215
C23.38(C22×S3) = C6.632+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.38(C2^2xS3)192,1219
C23.39(C22×S3) = C6.642+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.39(C2^2xS3)192,1220
C23.40(C22×S3) = C6.652+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.40(C2^2xS3)192,1221
C23.41(C22×S3) = C6.662+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.41(C2^2xS3)192,1222
C23.42(C22×S3) = C6.672+ 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.42(C2^2xS3)192,1223
C23.43(C22×S3) = C6.852- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.43(C2^2xS3)192,1224
C23.44(C22×S3) = C42.233D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.44(C2^2xS3)192,1227
C23.45(C22×S3) = C42.137D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.45(C2^2xS3)192,1228
C23.46(C22×S3) = C42.138D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.46(C2^2xS3)192,1229
C23.47(C22×S3) = C42.139D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.47(C2^2xS3)192,1230
C23.48(C22×S3) = C42.140D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.48(C2^2xS3)192,1231
C23.49(C22×S3) = S3×C4.4D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.49(C2^2xS3)192,1232
C23.50(C22×S3) = C42⋊20D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.50(C2^2xS3)192,1233
C23.51(C22×S3) = C42.141D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.51(C2^2xS3)192,1234
C23.52(C22×S3) = D12⋊10D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.52(C2^2xS3)192,1235
C23.53(C22×S3) = Dic6⋊10D4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.53(C2^2xS3)192,1236
C23.54(C22×S3) = C42⋊22D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.54(C2^2xS3)192,1237
C23.55(C22×S3) = C42⋊23D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.55(C2^2xS3)192,1238
C23.56(C22×S3) = C42.234D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.56(C2^2xS3)192,1239
C23.57(C22×S3) = C42.143D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.57(C2^2xS3)192,1240
C23.58(C22×S3) = C42.144D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.58(C2^2xS3)192,1241
C23.59(C22×S3) = C42⋊24D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.59(C2^2xS3)192,1242
C23.60(C22×S3) = C42.145D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.60(C2^2xS3)192,1243
C23.61(C22×S3) = C42.159D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.61(C2^2xS3)192,1260
C23.62(C22×S3) = C42.160D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.62(C2^2xS3)192,1261
C23.63(C22×S3) = S3×C42⋊2C2φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.63(C2^2xS3)192,1262
C23.64(C22×S3) = C42⋊25D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.64(C2^2xS3)192,1263
C23.65(C22×S3) = C42⋊26D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.65(C2^2xS3)192,1264
C23.66(C22×S3) = C42.189D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.66(C2^2xS3)192,1265
C23.67(C22×S3) = C42.161D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.67(C2^2xS3)192,1266
C23.68(C22×S3) = C42.162D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.68(C2^2xS3)192,1267
C23.69(C22×S3) = C42.163D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.69(C2^2xS3)192,1268
C23.70(C22×S3) = C42.164D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.70(C2^2xS3)192,1269
C23.71(C22×S3) = C42⋊27D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.71(C2^2xS3)192,1270
C23.72(C22×S3) = C42.165D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.72(C2^2xS3)192,1271
C23.73(C22×S3) = C42.166D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.73(C2^2xS3)192,1272
C23.74(C22×S3) = S3×C4⋊1D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.74(C2^2xS3)192,1273
C23.75(C22×S3) = C42⋊28D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.75(C2^2xS3)192,1274
C23.76(C22×S3) = C42.238D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.76(C2^2xS3)192,1275
C23.77(C22×S3) = D12⋊11D4φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.77(C2^2xS3)192,1276
C23.78(C22×S3) = Dic6⋊11D4φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.78(C2^2xS3)192,1277
C23.79(C22×S3) = C42.168D6φ: C22×S3/S3 → C22 ⊆ Aut C2396C2^3.79(C2^2xS3)192,1278
C23.80(C22×S3) = C42⋊30D6φ: C22×S3/S3 → C22 ⊆ Aut C2348C2^3.80(C2^2xS3)192,1279
C23.81(C22×S3) = D6.C24φ: C22×S3/S3 → C22 ⊆ Aut C23488-C2^3.81(C2^2xS3)192,1525
C23.82(C22×S3) = C2×C23.6D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.82(C2^2xS3)192,513
C23.83(C22×S3) = (C2×D12)⋊13C4φ: C22×S3/C6 → C22 ⊆ Aut C23484C2^3.83(C2^2xS3)192,565
C23.84(C22×S3) = C24⋊6D6φ: C22×S3/C6 → C22 ⊆ Aut C23244C2^3.84(C2^2xS3)192,591
C23.85(C22×S3) = C22⋊C4⋊D6φ: C22×S3/C6 → C22 ⊆ Aut C23484C2^3.85(C2^2xS3)192,612
C23.86(C22×S3) = C2×C23.7D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.86(C2^2xS3)192,778
C23.87(C22×S3) = (C6×D4)⋊10C4φ: C22×S3/C6 → C22 ⊆ Aut C23484C2^3.87(C2^2xS3)192,799
C23.88(C22×S3) = C2×C23.8D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.88(C2^2xS3)192,1041
C23.89(C22×S3) = C2×C23.9D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.89(C2^2xS3)192,1047
C23.90(C22×S3) = C2×Dic3⋊D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.90(C2^2xS3)192,1048
C23.91(C22×S3) = C2×C23.11D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.91(C2^2xS3)192,1050
C23.92(C22×S3) = C24.41D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.92(C2^2xS3)192,1053
C23.93(C22×S3) = C42.89D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.93(C2^2xS3)192,1077
C23.94(C22×S3) = C42.93D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.94(C2^2xS3)192,1087
C23.95(C22×S3) = C42.94D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.95(C2^2xS3)192,1088
C23.96(C22×S3) = C42.95D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.96(C2^2xS3)192,1089
C23.97(C22×S3) = C42.97D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.97(C2^2xS3)192,1091
C23.98(C22×S3) = C42.98D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.98(C2^2xS3)192,1092
C23.99(C22×S3) = C42.99D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.99(C2^2xS3)192,1093
C23.100(C22×S3) = C42.100D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.100(C2^2xS3)192,1094
C23.101(C22×S3) = C42.102D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.101(C2^2xS3)192,1097
C23.102(C22×S3) = C42.106D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.102(C2^2xS3)192,1101
C23.103(C22×S3) = C42.228D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.103(C2^2xS3)192,1107
C23.104(C22×S3) = D12⋊23D4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.104(C2^2xS3)192,1109
C23.105(C22×S3) = D12⋊24D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.105(C2^2xS3)192,1110
C23.106(C22×S3) = Dic6⋊23D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.106(C2^2xS3)192,1111
C23.107(C22×S3) = Dic6⋊24D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.107(C2^2xS3)192,1112
C23.108(C22×S3) = C42.229D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.108(C2^2xS3)192,1116
C23.109(C22×S3) = C42.113D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.109(C2^2xS3)192,1117
C23.110(C22×S3) = C42.114D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.110(C2^2xS3)192,1118
C23.111(C22×S3) = C42⋊19D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.111(C2^2xS3)192,1119
C23.112(C22×S3) = C42.115D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.112(C2^2xS3)192,1120
C23.113(C22×S3) = C42.116D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.113(C2^2xS3)192,1121
C23.114(C22×S3) = C42.117D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.114(C2^2xS3)192,1122
C23.115(C22×S3) = C42.118D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.115(C2^2xS3)192,1123
C23.116(C22×S3) = C42.119D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.116(C2^2xS3)192,1124
C23.117(C22×S3) = C24⋊7D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.117(C2^2xS3)192,1148
C23.118(C22×S3) = C24⋊8D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.118(C2^2xS3)192,1149
C23.119(C22×S3) = C24.45D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.119(C2^2xS3)192,1151
C23.120(C22×S3) = C24⋊9D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.120(C2^2xS3)192,1153
C23.121(C22×S3) = C24.47D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.121(C2^2xS3)192,1154
C23.122(C22×S3) = C6.382+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.122(C2^2xS3)192,1166
C23.123(C22×S3) = D12⋊20D4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.123(C2^2xS3)192,1171
C23.124(C22×S3) = C6.482+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.124(C2^2xS3)192,1179
C23.125(C22×S3) = C6.492+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.125(C2^2xS3)192,1180
C23.126(C22×S3) = C6.152- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.126(C2^2xS3)192,1184
C23.127(C22×S3) = C6.162- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.127(C2^2xS3)192,1187
C23.128(C22×S3) = C6.172- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.128(C2^2xS3)192,1188
C23.129(C22×S3) = D12⋊22D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.129(C2^2xS3)192,1190
C23.130(C22×S3) = Dic6⋊22D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.130(C2^2xS3)192,1192
C23.131(C22×S3) = C6.202- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.131(C2^2xS3)192,1197
C23.132(C22×S3) = C6.212- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.132(C2^2xS3)192,1198
C23.133(C22×S3) = C6.222- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.133(C2^2xS3)192,1199
C23.134(C22×S3) = C6.232- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.134(C2^2xS3)192,1200
C23.135(C22×S3) = C6.242- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.135(C2^2xS3)192,1202
C23.136(C22×S3) = C6.252- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.136(C2^2xS3)192,1205
C23.137(C22×S3) = C6.592+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.137(C2^2xS3)192,1206
C23.138(C22×S3) = C6.812- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.138(C2^2xS3)192,1210
C23.139(C22×S3) = C6.612+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.139(C2^2xS3)192,1216
C23.140(C22×S3) = C6.622+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.140(C2^2xS3)192,1218
C23.141(C22×S3) = C6.682+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.141(C2^2xS3)192,1225
C23.142(C22×S3) = C6.692+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.142(C2^2xS3)192,1226
C23.143(C22×S3) = C2×C23.23D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.143(C2^2xS3)192,1355
C23.144(C22×S3) = C2×C23.12D6φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.144(C2^2xS3)192,1356
C23.145(C22×S3) = C2×C12⋊3D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.145(C2^2xS3)192,1362
C23.146(C22×S3) = C24.52D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.146(C2^2xS3)192,1364
C23.147(C22×S3) = (C2×D4)⋊43D6φ: C22×S3/C6 → C22 ⊆ Aut C2348C2^3.147(C2^2xS3)192,1387
C23.148(C22×S3) = C6.1072- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.148(C2^2xS3)192,1390
C23.149(C22×S3) = (C2×C12)⋊17D4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.149(C2^2xS3)192,1391
C23.150(C22×S3) = C6.1082- 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.150(C2^2xS3)192,1392
C23.151(C22×S3) = C6.1482+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2396C2^3.151(C2^2xS3)192,1393
C23.152(C22×S3) = C6.C25φ: C22×S3/C6 → C22 ⊆ Aut C23484C2^3.152(C2^2xS3)192,1523
C23.153(C22×S3) = C2×C23.16D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.153(C2^2xS3)192,1039
C23.154(C22×S3) = C23⋊3Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.154(C2^2xS3)192,1042
C23.155(C22×S3) = C2×S3×C22⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.155(C2^2xS3)192,1043
C23.156(C22×S3) = C2×D6⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.156(C2^2xS3)192,1046
C23.157(C22×S3) = C2×C23.21D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.157(C2^2xS3)192,1051
C23.158(C22×S3) = C23⋊4D12φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.158(C2^2xS3)192,1052
C23.159(C22×S3) = C42.87D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.159(C2^2xS3)192,1075
C23.160(C22×S3) = C42.88D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.160(C2^2xS3)192,1076
C23.161(C22×S3) = C42.90D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.161(C2^2xS3)192,1078
C23.162(C22×S3) = S3×C42⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.162(C2^2xS3)192,1079
C23.163(C22×S3) = C42⋊9D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.163(C2^2xS3)192,1080
C23.164(C22×S3) = C42.188D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.164(C2^2xS3)192,1081
C23.165(C22×S3) = C42.91D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.165(C2^2xS3)192,1082
C23.166(C22×S3) = C42⋊10D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.166(C2^2xS3)192,1083
C23.167(C22×S3) = C42⋊11D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.167(C2^2xS3)192,1084
C23.168(C22×S3) = C42.92D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.168(C2^2xS3)192,1085
C23.169(C22×S3) = C42⋊12D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.169(C2^2xS3)192,1086
C23.170(C22×S3) = C42.96D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.170(C2^2xS3)192,1090
C23.171(C22×S3) = C4×D4⋊2S3φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.171(C2^2xS3)192,1095
C23.172(C22×S3) = D4×Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.172(C2^2xS3)192,1096
C23.173(C22×S3) = D4⋊5Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.173(C2^2xS3)192,1098
C23.174(C22×S3) = C42.104D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.174(C2^2xS3)192,1099
C23.175(C22×S3) = C42.105D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.175(C2^2xS3)192,1100
C23.176(C22×S3) = D4⋊6Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.176(C2^2xS3)192,1102
C23.177(C22×S3) = C4×S3×D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.177(C2^2xS3)192,1103
C23.178(C22×S3) = C42⋊13D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.178(C2^2xS3)192,1104
C23.179(C22×S3) = C42.108D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.179(C2^2xS3)192,1105
C23.180(C22×S3) = C42⋊14D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.180(C2^2xS3)192,1106
C23.181(C22×S3) = D4×D12φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.181(C2^2xS3)192,1108
C23.182(C22×S3) = D4⋊5D12φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.182(C2^2xS3)192,1113
C23.183(C22×S3) = D4⋊6D12φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.183(C2^2xS3)192,1114
C23.184(C22×S3) = C42⋊18D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.184(C2^2xS3)192,1115
C23.185(C22×S3) = C24.67D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.185(C2^2xS3)192,1145
C23.186(C22×S3) = C24.43D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.186(C2^2xS3)192,1146
C23.187(C22×S3) = C24.46D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.187(C2^2xS3)192,1152
C23.188(C22×S3) = C12⋊(C4○D4)φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.188(C2^2xS3)192,1155
C23.189(C22×S3) = C6.342+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.189(C2^2xS3)192,1160
C23.190(C22×S3) = C6.372+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.190(C2^2xS3)192,1164
C23.191(C22×S3) = D12⋊19D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.191(C2^2xS3)192,1168
C23.192(C22×S3) = C6.402+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.192(C2^2xS3)192,1169
C23.193(C22×S3) = C6.732- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.193(C2^2xS3)192,1170
C23.194(C22×S3) = (Q8×Dic3)⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.194(C2^2xS3)192,1181
C23.195(C22×S3) = C6.752- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.195(C2^2xS3)192,1182
C23.196(C22×S3) = C4⋊C4.187D6φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.196(C2^2xS3)192,1183
C23.197(C22×S3) = S3×C22⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.197(C2^2xS3)192,1185
C23.198(C22×S3) = C4⋊C4⋊26D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.198(C2^2xS3)192,1186
C23.199(C22×S3) = D12⋊21D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.199(C2^2xS3)192,1189
C23.200(C22×S3) = Dic6⋊21D4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.200(C2^2xS3)192,1191
C23.201(C22×S3) = C6.512+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.201(C2^2xS3)192,1193
C23.202(C22×S3) = C6.1182+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.202(C2^2xS3)192,1194
C23.203(C22×S3) = C6.522+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.203(C2^2xS3)192,1195
C23.204(C22×S3) = C6.532+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.204(C2^2xS3)192,1196
C23.205(C22×S3) = C6.772- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.205(C2^2xS3)192,1201
C23.206(C22×S3) = C6.562+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.206(C2^2xS3)192,1203
C23.207(C22×S3) = C6.782- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.207(C2^2xS3)192,1204
C23.208(C22×S3) = C6.792- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.208(C2^2xS3)192,1207
C23.209(C22×S3) = C6.802- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.209(C2^2xS3)192,1209
C23.210(C22×S3) = C6.1202+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.210(C2^2xS3)192,1212
C23.211(C22×S3) = C6.822- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.211(C2^2xS3)192,1214
C23.212(C22×S3) = C6.1222+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.212(C2^2xS3)192,1217
C23.213(C22×S3) = C2×D4×Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.213(C2^2xS3)192,1354
C23.214(C22×S3) = C24.49D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.214(C2^2xS3)192,1357
C23.215(C22×S3) = D4×C3⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.215(C2^2xS3)192,1360
C23.216(C22×S3) = C24⋊12D6φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.216(C2^2xS3)192,1363
C23.217(C22×S3) = C6.1042- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.217(C2^2xS3)192,1383
C23.218(C22×S3) = C6.1052- 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.218(C2^2xS3)192,1384
C23.219(C22×S3) = Dic3×C4○D4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.219(C2^2xS3)192,1385
C23.220(C22×S3) = C6.1442+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.220(C2^2xS3)192,1386
C23.221(C22×S3) = C6.1452+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.221(C2^2xS3)192,1388
C23.222(C22×S3) = C6.1462+ 1+4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.222(C2^2xS3)192,1389
C23.223(C22×S3) = C2×S3×C4○D4φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.223(C2^2xS3)192,1520
C23.224(C22×S3) = C2×D4○D12φ: C22×S3/D6 → C2 ⊆ Aut C2348C2^3.224(C2^2xS3)192,1521
C23.225(C22×S3) = C2×Q8○D12φ: C22×S3/D6 → C2 ⊆ Aut C2396C2^3.225(C2^2xS3)192,1522
C23.226(C22×S3) = C42.274D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.226(C2^2xS3)192,1029
C23.227(C22×S3) = C4×C4○D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.227(C2^2xS3)192,1033
C23.228(C22×S3) = C42.276D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.228(C2^2xS3)192,1036
C23.229(C22×S3) = C42.277D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.229(C2^2xS3)192,1038
C23.230(C22×S3) = C24.35D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.230(C2^2xS3)192,1045
C23.231(C22×S3) = C24.38D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.231(C2^2xS3)192,1049
C23.232(C22×S3) = C24.42D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.232(C2^2xS3)192,1054
C23.233(C22×S3) = C6.72+ 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.233(C2^2xS3)192,1059
C23.234(C22×S3) = C6.82+ 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.234(C2^2xS3)192,1063
C23.235(C22×S3) = C6.2- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.235(C2^2xS3)192,1066
C23.236(C22×S3) = C6.2+ 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.236(C2^2xS3)192,1069
C23.237(C22×S3) = C6.102+ 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.237(C2^2xS3)192,1070
C23.238(C22×S3) = C6.52- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.238(C2^2xS3)192,1072
C23.239(C22×S3) = C6.112+ 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.239(C2^2xS3)192,1073
C23.240(C22×S3) = C6.62- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.240(C2^2xS3)192,1074
C23.241(C22×S3) = C2×C12.48D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.241(C2^2xS3)192,1343
C23.242(C22×S3) = C2×C23.26D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.242(C2^2xS3)192,1345
C23.243(C22×S3) = C2×C23.28D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.243(C2^2xS3)192,1348
C23.244(C22×S3) = C2×C12⋊7D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.244(C2^2xS3)192,1349
C23.245(C22×S3) = C24.83D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.245(C2^2xS3)192,1350
C23.246(C22×S3) = C24.53D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.246(C2^2xS3)192,1365
C23.247(C22×S3) = C6.422- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.247(C2^2xS3)192,1371
C23.248(C22×S3) = Q8×C3⋊D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.248(C2^2xS3)192,1374
C23.249(C22×S3) = C6.442- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.249(C2^2xS3)192,1375
C23.250(C22×S3) = C6.452- 1+4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.250(C2^2xS3)192,1376
C23.251(C22×S3) = C2×C24⋊4S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C2348C2^3.251(C2^2xS3)192,1399
C23.252(C22×S3) = C2×Q8.15D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2396C2^3.252(C2^2xS3)192,1519
C23.253(C22×S3) = (C2×C12)⋊Q8central extension (φ=1)192C2^3.253(C2^2xS3)192,205
C23.254(C22×S3) = C6.(C4×Q8)central extension (φ=1)192C2^3.254(C2^2xS3)192,206
C23.255(C22×S3) = Dic3.5C42central extension (φ=1)192C2^3.255(C2^2xS3)192,207
C23.256(C22×S3) = Dic3⋊C42central extension (φ=1)192C2^3.256(C2^2xS3)192,208
C23.257(C22×S3) = C3⋊(C42⋊8C4)central extension (φ=1)192C2^3.257(C2^2xS3)192,209
C23.258(C22×S3) = C3⋊(C42⋊5C4)central extension (φ=1)192C2^3.258(C2^2xS3)192,210
C23.259(C22×S3) = C6.(C4×D4)central extension (φ=1)192C2^3.259(C2^2xS3)192,211
C23.260(C22×S3) = C2.(C4×D12)central extension (φ=1)192C2^3.260(C2^2xS3)192,212
C23.261(C22×S3) = C2.(C4×Dic6)central extension (φ=1)192C2^3.261(C2^2xS3)192,213
C23.262(C22×S3) = Dic3⋊C4⋊C4central extension (φ=1)192C2^3.262(C2^2xS3)192,214
C23.263(C22×S3) = S3×C2.C42central extension (φ=1)96C2^3.263(C2^2xS3)192,222
C23.264(C22×S3) = C22.58(S3×D4)central extension (φ=1)96C2^3.264(C2^2xS3)192,223
C23.265(C22×S3) = (C2×C4)⋊9D12central extension (φ=1)96C2^3.265(C2^2xS3)192,224
C23.266(C22×S3) = D6⋊C42central extension (φ=1)96C2^3.266(C2^2xS3)192,225
C23.267(C22×S3) = D6⋊(C4⋊C4)central extension (φ=1)96C2^3.267(C2^2xS3)192,226
C23.268(C22×S3) = D6⋊C4⋊C4central extension (φ=1)96C2^3.268(C2^2xS3)192,227
C23.269(C22×S3) = D6⋊C4⋊5C4central extension (φ=1)96C2^3.269(C2^2xS3)192,228
C23.270(C22×S3) = D6⋊C4⋊3C4central extension (φ=1)96C2^3.270(C2^2xS3)192,229
C23.271(C22×S3) = C12⋊4(C4⋊C4)central extension (φ=1)192C2^3.271(C2^2xS3)192,487
C23.272(C22×S3) = (C2×Dic6)⋊7C4central extension (φ=1)192C2^3.272(C2^2xS3)192,488
C23.273(C22×S3) = Dic3×C42central extension (φ=1)192C2^3.273(C2^2xS3)192,489
C23.274(C22×S3) = C4×Dic3⋊C4central extension (φ=1)192C2^3.274(C2^2xS3)192,490
C23.275(C22×S3) = C42⋊6Dic3central extension (φ=1)192C2^3.275(C2^2xS3)192,491
C23.276(C22×S3) = (C2×C42).6S3central extension (φ=1)192C2^3.276(C2^2xS3)192,492
C23.277(C22×S3) = C4×C4⋊Dic3central extension (φ=1)192C2^3.277(C2^2xS3)192,493
C23.278(C22×S3) = C42⋊10Dic3central extension (φ=1)192C2^3.278(C2^2xS3)192,494
C23.279(C22×S3) = C42⋊11Dic3central extension (φ=1)192C2^3.279(C2^2xS3)192,495
C23.280(C22×S3) = C42⋊7Dic3central extension (φ=1)192C2^3.280(C2^2xS3)192,496
C23.281(C22×S3) = C4×D6⋊C4central extension (φ=1)96C2^3.281(C2^2xS3)192,497
C23.282(C22×S3) = (C2×C4)⋊6D12central extension (φ=1)96C2^3.282(C2^2xS3)192,498
C23.283(C22×S3) = (C2×C42)⋊3S3central extension (φ=1)96C2^3.283(C2^2xS3)192,499
C23.284(C22×S3) = Dic3×C22⋊C4central extension (φ=1)96C2^3.284(C2^2xS3)192,500
C23.285(C22×S3) = C24.55D6central extension (φ=1)96C2^3.285(C2^2xS3)192,501
C23.286(C22×S3) = C24.56D6central extension (φ=1)96C2^3.286(C2^2xS3)192,502
C23.287(C22×S3) = C24.14D6central extension (φ=1)96C2^3.287(C2^2xS3)192,503
C23.288(C22×S3) = C24.15D6central extension (φ=1)96C2^3.288(C2^2xS3)192,504
C23.289(C22×S3) = C24.57D6central extension (φ=1)96C2^3.289(C2^2xS3)192,505
C23.290(C22×S3) = C24.58D6central extension (φ=1)96C2^3.290(C2^2xS3)192,509
C23.291(C22×S3) = C24.19D6central extension (φ=1)96C2^3.291(C2^2xS3)192,510
C23.292(C22×S3) = C24.59D6central extension (φ=1)48C2^3.292(C2^2xS3)192,514
C23.293(C22×S3) = C24.23D6central extension (φ=1)96C2^3.293(C2^2xS3)192,515
C23.294(C22×S3) = C24.24D6central extension (φ=1)96C2^3.294(C2^2xS3)192,516
C23.295(C22×S3) = C24.60D6central extension (φ=1)96C2^3.295(C2^2xS3)192,517
C23.296(C22×S3) = C12⋊(C4⋊C4)central extension (φ=1)192C2^3.296(C2^2xS3)192,531
C23.297(C22×S3) = C4.(D6⋊C4)central extension (φ=1)192C2^3.297(C2^2xS3)192,532
C23.298(C22×S3) = Dic3×C4⋊C4central extension (φ=1)192C2^3.298(C2^2xS3)192,533
C23.299(C22×S3) = (C4×Dic3)⋊8C4central extension (φ=1)192C2^3.299(C2^2xS3)192,534
C23.300(C22×S3) = Dic3⋊(C4⋊C4)central extension (φ=1)192C2^3.300(C2^2xS3)192,535
C23.301(C22×S3) = (C4×Dic3)⋊9C4central extension (φ=1)192C2^3.301(C2^2xS3)192,536
C23.302(C22×S3) = C6.67(C4×D4)central extension (φ=1)192C2^3.302(C2^2xS3)192,537
C23.303(C22×S3) = C4⋊C4⋊5Dic3central extension (φ=1)192C2^3.303(C2^2xS3)192,539
C23.304(C22×S3) = C4⋊C4⋊6Dic3central extension (φ=1)192C2^3.304(C2^2xS3)192,543
C23.305(C22×S3) = C4⋊(D6⋊C4)central extension (φ=1)96C2^3.305(C2^2xS3)192,546
C23.306(C22×S3) = (C2×D12)⋊10C4central extension (φ=1)96C2^3.306(C2^2xS3)192,547
C23.307(C22×S3) = D6⋊C4⋊6C4central extension (φ=1)96C2^3.307(C2^2xS3)192,548
C23.308(C22×S3) = D6⋊C4⋊7C4central extension (φ=1)96C2^3.308(C2^2xS3)192,549
C23.309(C22×S3) = C2×C6.C42central extension (φ=1)192C2^3.309(C2^2xS3)192,767
C23.310(C22×S3) = C4×C6.D4central extension (φ=1)96C2^3.310(C2^2xS3)192,768
C23.311(C22×S3) = C24.73D6central extension (φ=1)96C2^3.311(C2^2xS3)192,769
C23.312(C22×S3) = C24.74D6central extension (φ=1)96C2^3.312(C2^2xS3)192,770
C23.313(C22×S3) = C24.75D6central extension (φ=1)96C2^3.313(C2^2xS3)192,771
C23.314(C22×S3) = C24.76D6central extension (φ=1)96C2^3.314(C2^2xS3)192,772
C23.315(C22×S3) = C24.29D6central extension (φ=1)96C2^3.315(C2^2xS3)192,779
C23.316(C22×S3) = C24.30D6central extension (φ=1)96C2^3.316(C2^2xS3)192,780
C23.317(C22×S3) = (C6×Q8)⋊7C4central extension (φ=1)192C2^3.317(C2^2xS3)192,788
C23.318(C22×S3) = C25.4S3central extension (φ=1)48C2^3.318(C2^2xS3)192,806
C23.319(C22×S3) = C2×C4×Dic6central extension (φ=1)192C2^3.319(C2^2xS3)192,1026
C23.320(C22×S3) = C2×C12⋊2Q8central extension (φ=1)192C2^3.320(C2^2xS3)192,1027
C23.321(C22×S3) = C2×C12.6Q8central extension (φ=1)192C2^3.321(C2^2xS3)192,1028
C23.322(C22×S3) = S3×C2×C42central extension (φ=1)96C2^3.322(C2^2xS3)192,1030
C23.323(C22×S3) = C2×C42⋊2S3central extension (φ=1)96C2^3.323(C2^2xS3)192,1031
C23.324(C22×S3) = C2×C4×D12central extension (φ=1)96C2^3.324(C2^2xS3)192,1032
C23.325(C22×S3) = C2×C4⋊D12central extension (φ=1)96C2^3.325(C2^2xS3)192,1034
C23.326(C22×S3) = C2×C42⋊7S3central extension (φ=1)96C2^3.326(C2^2xS3)192,1035
C23.327(C22×S3) = C2×C42⋊3S3central extension (φ=1)96C2^3.327(C2^2xS3)192,1037
C23.328(C22×S3) = C2×Dic3.D4central extension (φ=1)96C2^3.328(C2^2xS3)192,1040
C23.329(C22×S3) = C2×Dic3⋊4D4central extension (φ=1)96C2^3.329(C2^2xS3)192,1044
C23.330(C22×S3) = C2×Dic6⋊C4central extension (φ=1)192C2^3.330(C2^2xS3)192,1055
C23.331(C22×S3) = C2×C12⋊Q8central extension (φ=1)192C2^3.331(C2^2xS3)192,1056
C23.332(C22×S3) = C2×Dic3.Q8central extension (φ=1)192C2^3.332(C2^2xS3)192,1057
C23.333(C22×S3) = C2×C4.Dic6central extension (φ=1)192C2^3.333(C2^2xS3)192,1058
C23.334(C22×S3) = C2×S3×C4⋊C4central extension (φ=1)96C2^3.334(C2^2xS3)192,1060
C23.335(C22×S3) = C2×C4⋊C4⋊7S3central extension (φ=1)96C2^3.335(C2^2xS3)192,1061
C23.336(C22×S3) = C2×Dic3⋊5D4central extension (φ=1)96C2^3.336(C2^2xS3)192,1062
C23.337(C22×S3) = C2×D6.D4central extension (φ=1)96C2^3.337(C2^2xS3)192,1064
C23.338(C22×S3) = C2×C12⋊D4central extension (φ=1)96C2^3.338(C2^2xS3)192,1065
C23.339(C22×S3) = C2×D6⋊Q8central extension (φ=1)96C2^3.339(C2^2xS3)192,1067
C23.340(C22×S3) = C2×C4.D12central extension (φ=1)96C2^3.340(C2^2xS3)192,1068
C23.341(C22×S3) = C2×C4⋊C4⋊S3central extension (φ=1)96C2^3.341(C2^2xS3)192,1071
C23.342(C22×S3) = Dic3×C22×C4central extension (φ=1)192C2^3.342(C2^2xS3)192,1341
C23.343(C22×S3) = C22×Dic3⋊C4central extension (φ=1)192C2^3.343(C2^2xS3)192,1342
C23.344(C22×S3) = C22×C4⋊Dic3central extension (φ=1)192C2^3.344(C2^2xS3)192,1344
C23.345(C22×S3) = C22×D6⋊C4central extension (φ=1)96C2^3.345(C2^2xS3)192,1346
C23.346(C22×S3) = C2×C4×C3⋊D4central extension (φ=1)96C2^3.346(C2^2xS3)192,1347
C23.347(C22×S3) = C2×D6⋊3D4central extension (φ=1)96C2^3.347(C2^2xS3)192,1359
C23.348(C22×S3) = C2×C23.14D6central extension (φ=1)96C2^3.348(C2^2xS3)192,1361
C23.349(C22×S3) = C2×Dic3⋊Q8central extension (φ=1)192C2^3.349(C2^2xS3)192,1369
C23.350(C22×S3) = C2×Q8×Dic3central extension (φ=1)192C2^3.350(C2^2xS3)192,1370
C23.351(C22×S3) = C2×D6⋊3Q8central extension (φ=1)96C2^3.351(C2^2xS3)192,1372
C23.352(C22×S3) = C2×C12.23D4central extension (φ=1)96C2^3.352(C2^2xS3)192,1373
C23.353(C22×S3) = C22×C6.D4central extension (φ=1)96C2^3.353(C2^2xS3)192,1398
C23.354(C22×S3) = C23×Dic6central extension (φ=1)192C2^3.354(C2^2xS3)192,1510
C23.355(C22×S3) = S3×C23×C4central extension (φ=1)96C2^3.355(C2^2xS3)192,1511
C23.356(C22×S3) = C23×D12central extension (φ=1)96C2^3.356(C2^2xS3)192,1512
C23.357(C22×S3) = C22×C4○D12central extension (φ=1)96C2^3.357(C2^2xS3)192,1513
C23.358(C22×S3) = C22×D4⋊2S3central extension (φ=1)96C2^3.358(C2^2xS3)192,1515
C23.359(C22×S3) = C22×S3×Q8central extension (φ=1)96C2^3.359(C2^2xS3)192,1517
C23.360(C22×S3) = C22×Q8⋊3S3central extension (φ=1)96C2^3.360(C2^2xS3)192,1518
C23.361(C22×S3) = Dic3×C24central extension (φ=1)192C2^3.361(C2^2xS3)192,1528
C23.362(C22×S3) = (C2×C4)⋊Dic6central stem extension (φ=1)192C2^3.362(C2^2xS3)192,215
C23.363(C22×S3) = C6.(C4⋊Q8)central stem extension (φ=1)192C2^3.363(C2^2xS3)192,216
C23.364(C22×S3) = (C2×Dic3).9D4central stem extension (φ=1)192C2^3.364(C2^2xS3)192,217
C23.365(C22×S3) = (C2×C4).17D12central stem extension (φ=1)192C2^3.365(C2^2xS3)192,218
C23.366(C22×S3) = (C2×C4).Dic6central stem extension (φ=1)192C2^3.366(C2^2xS3)192,219
C23.367(C22×S3) = (C22×C4).85D6central stem extension (φ=1)192C2^3.367(C2^2xS3)192,220
C23.368(C22×S3) = (C22×C4).30D6central stem extension (φ=1)192C2^3.368(C2^2xS3)192,221
C23.369(C22×S3) = (C2×C12)⋊5D4central stem extension (φ=1)96C2^3.369(C2^2xS3)192,230
C23.370(C22×S3) = C6.C22≀C2central stem extension (φ=1)96C2^3.370(C2^2xS3)192,231
C23.371(C22×S3) = (C22×S3)⋊Q8central stem extension (φ=1)96C2^3.371(C2^2xS3)192,232
C23.372(C22×S3) = (C2×C4).21D12central stem extension (φ=1)96C2^3.372(C2^2xS3)192,233
C23.373(C22×S3) = C6.(C4⋊D4)central stem extension (φ=1)96C2^3.373(C2^2xS3)192,234
C23.374(C22×S3) = (C22×C4).37D6central stem extension (φ=1)96C2^3.374(C2^2xS3)192,235
C23.375(C22×S3) = (C2×C12).33D4central stem extension (φ=1)96C2^3.375(C2^2xS3)192,236
C23.376(C22×S3) = C23⋊2Dic6central stem extension (φ=1)96C2^3.376(C2^2xS3)192,506
C23.377(C22×S3) = C24.17D6central stem extension (φ=1)96C2^3.377(C2^2xS3)192,507
C23.378(C22×S3) = C24.18D6central stem extension (φ=1)96C2^3.378(C2^2xS3)192,508
C23.379(C22×S3) = C24.20D6central stem extension (φ=1)96C2^3.379(C2^2xS3)192,511
C23.380(C22×S3) = C24.21D6central stem extension (φ=1)96C2^3.380(C2^2xS3)192,512
C23.381(C22×S3) = C24.25D6central stem extension (φ=1)96C2^3.381(C2^2xS3)192,518
C23.382(C22×S3) = C23⋊3D12central stem extension (φ=1)96C2^3.382(C2^2xS3)192,519
C23.383(C22×S3) = C24.27D6central stem extension (φ=1)96C2^3.383(C2^2xS3)192,520
C23.384(C22×S3) = (C2×Dic3)⋊Q8central stem extension (φ=1)192C2^3.384(C2^2xS3)192,538
C23.385(C22×S3) = (C2×C4).44D12central stem extension (φ=1)192C2^3.385(C2^2xS3)192,540
C23.386(C22×S3) = (C2×C12).54D4central stem extension (φ=1)192C2^3.386(C2^2xS3)192,541
C23.387(C22×S3) = (C2×Dic3).Q8central stem extension (φ=1)192C2^3.387(C2^2xS3)192,542
C23.388(C22×S3) = (C2×C12).288D4central stem extension (φ=1)192C2^3.388(C2^2xS3)192,544
C23.389(C22×S3) = (C2×C12).55D4central stem extension (φ=1)192C2^3.389(C2^2xS3)192,545
C23.390(C22×S3) = (C2×C4)⋊3D12central stem extension (φ=1)96C2^3.390(C2^2xS3)192,550
C23.391(C22×S3) = (C2×C12).289D4central stem extension (φ=1)96C2^3.391(C2^2xS3)192,551
C23.392(C22×S3) = (C2×C12).290D4central stem extension (φ=1)96C2^3.392(C2^2xS3)192,552
C23.393(C22×S3) = (C2×C12).56D4central stem extension (φ=1)96C2^3.393(C2^2xS3)192,553
C23.394(C22×S3) = C24.31D6central stem extension (φ=1)96C2^3.394(C2^2xS3)192,781
C23.395(C22×S3) = C24.32D6central stem extension (φ=1)96C2^3.395(C2^2xS3)192,782
C23.396(C22×S3) = C22.52(S3×Q8)central stem extension (φ=1)192C2^3.396(C2^2xS3)192,789
C23.397(C22×S3) = (C22×Q8)⋊9S3central stem extension (φ=1)96C2^3.397(C2^2xS3)192,790

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