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

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

Semidirect products G=N:Q with N=C22 and Q=S3×C23
extensionφ:Q→Aut NdρLabelID
C22⋊(S3×C23) = C23×S4φ: S3×C23/C23 → S3 ⊆ Aut C2224C2^2:(S3xC2^3)192,1537
C22⋊2(S3×C23) = C22×S3×D4φ: S3×C23/C22×S3 → C2 ⊆ Aut C2248C2^2:2(S3xC2^3)192,1514
C22⋊3(S3×C23) = C23×C3⋊D4φ: S3×C23/C22×C6 → C2 ⊆ Aut C2296C2^2:3(S3xC2^3)192,1529

Non-split extensions G=N.Q with N=C22 and Q=S3×C23
extensionφ:Q→Aut NdρLabelID
C22.1(S3×C23) = C22×D4⋊2S3φ: S3×C23/C22×S3 → C2 ⊆ Aut C2296C2^2.1(S3xC2^3)192,1515
C22.2(S3×C23) = C2×S3×C4○D4φ: S3×C23/C22×S3 → C2 ⊆ Aut C2248C2^2.2(S3xC2^3)192,1520
C22.3(S3×C23) = S3×2+ 1+4φ: S3×C23/C22×S3 → C2 ⊆ Aut C22248+C2^2.3(S3xC2^3)192,1524
C22.4(S3×C23) = D6.C24φ: S3×C23/C22×S3 → C2 ⊆ Aut C22488-C2^2.4(S3xC2^3)192,1525
C22.5(S3×C23) = S3×2- 1+4φ: S3×C23/C22×S3 → C2 ⊆ Aut C22488-C2^2.5(S3xC2^3)192,1526
C22.6(S3×C23) = D12.39C23φ: S3×C23/C22×S3 → C2 ⊆ Aut C22488+C2^2.6(S3xC2^3)192,1527
C22.7(S3×C23) = C22×C4○D12φ: S3×C23/C22×C6 → C2 ⊆ Aut C2296C2^2.7(S3xC2^3)192,1513
C22.8(S3×C23) = C2×D4⋊6D6φ: S3×C23/C22×C6 → C2 ⊆ Aut C2248C2^2.8(S3xC2^3)192,1516
C22.9(S3×C23) = C2×Q8.15D6φ: S3×C23/C22×C6 → C2 ⊆ Aut C2296C2^2.9(S3xC2^3)192,1519
C22.10(S3×C23) = C6.C25φ: S3×C23/C22×C6 → C2 ⊆ Aut C22484C2^2.10(S3xC2^3)192,1523
C22.11(S3×C23) = C2×C4×Dic6central extension (φ=1)192C2^2.11(S3xC2^3)192,1026
C22.12(S3×C23) = S3×C2×C42central extension (φ=1)96C2^2.12(S3xC2^3)192,1030
C22.13(S3×C23) = C2×C42⋊2S3central extension (φ=1)96C2^2.13(S3xC2^3)192,1031
C22.14(S3×C23) = C2×C4×D12central extension (φ=1)96C2^2.14(S3xC2^3)192,1032
C22.15(S3×C23) = C4×C4○D12central extension (φ=1)96C2^2.15(S3xC2^3)192,1033
C22.16(S3×C23) = C2×C23.16D6central extension (φ=1)96C2^2.16(S3xC2^3)192,1039
C22.17(S3×C23) = C2×S3×C22⋊C4central extension (φ=1)48C2^2.17(S3xC2^3)192,1043
C22.18(S3×C23) = C2×Dic3⋊4D4central extension (φ=1)96C2^2.18(S3xC2^3)192,1044
C22.19(S3×C23) = C24.35D6central extension (φ=1)48C2^2.19(S3xC2^3)192,1045
C22.20(S3×C23) = C2×Dic6⋊C4central extension (φ=1)192C2^2.20(S3xC2^3)192,1055
C22.21(S3×C23) = C2×S3×C4⋊C4central extension (φ=1)96C2^2.21(S3xC2^3)192,1060
C22.22(S3×C23) = C2×C4⋊C4⋊7S3central extension (φ=1)96C2^2.22(S3xC2^3)192,1061
C22.23(S3×C23) = C2×Dic3⋊5D4central extension (φ=1)96C2^2.23(S3xC2^3)192,1062
C22.24(S3×C23) = C6.82+ 1+4central extension (φ=1)96C2^2.24(S3xC2^3)192,1063
C22.25(S3×C23) = C42.87D6central extension (φ=1)96C2^2.25(S3xC2^3)192,1075
C22.26(S3×C23) = S3×C42⋊C2central extension (φ=1)48C2^2.26(S3xC2^3)192,1079
C22.27(S3×C23) = C42⋊9D6central extension (φ=1)48C2^2.27(S3xC2^3)192,1080
C22.28(S3×C23) = C42.188D6central extension (φ=1)96C2^2.28(S3xC2^3)192,1081
C22.29(S3×C23) = C42.91D6central extension (φ=1)96C2^2.29(S3xC2^3)192,1082
C22.30(S3×C23) = C4×D4⋊2S3central extension (φ=1)96C2^2.30(S3xC2^3)192,1095
C22.31(S3×C23) = C4×S3×D4central extension (φ=1)48C2^2.31(S3xC2^3)192,1103
C22.32(S3×C23) = C42⋊13D6central extension (φ=1)48C2^2.32(S3xC2^3)192,1104
C22.33(S3×C23) = C42.108D6central extension (φ=1)96C2^2.33(S3xC2^3)192,1105
C22.34(S3×C23) = C4×S3×Q8central extension (φ=1)96C2^2.34(S3xC2^3)192,1130
C22.35(S3×C23) = C42.125D6central extension (φ=1)96C2^2.35(S3xC2^3)192,1131
C22.36(S3×C23) = C4×Q8⋊3S3central extension (φ=1)96C2^2.36(S3xC2^3)192,1132
C22.37(S3×C23) = C42.126D6central extension (φ=1)96C2^2.37(S3xC2^3)192,1133
C22.38(S3×C23) = Dic3×C22×C4central extension (φ=1)192C2^2.38(S3xC2^3)192,1341
C22.39(S3×C23) = C22×Dic3⋊C4central extension (φ=1)192C2^2.39(S3xC2^3)192,1342
C22.40(S3×C23) = C22×C4⋊Dic3central extension (φ=1)192C2^2.40(S3xC2^3)192,1344
C22.41(S3×C23) = C2×C23.26D6central extension (φ=1)96C2^2.41(S3xC2^3)192,1345
C22.42(S3×C23) = C22×D6⋊C4central extension (φ=1)96C2^2.42(S3xC2^3)192,1346
C22.43(S3×C23) = C2×C4×C3⋊D4central extension (φ=1)96C2^2.43(S3xC2^3)192,1347
C22.44(S3×C23) = C2×D4×Dic3central extension (φ=1)96C2^2.44(S3xC2^3)192,1354
C22.45(S3×C23) = C24.49D6central extension (φ=1)48C2^2.45(S3xC2^3)192,1357
C22.46(S3×C23) = C2×Q8×Dic3central extension (φ=1)192C2^2.46(S3xC2^3)192,1370
C22.47(S3×C23) = C6.422- 1+4central extension (φ=1)96C2^2.47(S3xC2^3)192,1371
C22.48(S3×C23) = Dic3×C4○D4central extension (φ=1)96C2^2.48(S3xC2^3)192,1385
C22.49(S3×C23) = C6.1442+ 1+4central extension (φ=1)96C2^2.49(S3xC2^3)192,1386
C22.50(S3×C23) = C22×C6.D4central extension (φ=1)96C2^2.50(S3xC2^3)192,1398
C22.51(S3×C23) = C23×Dic6central extension (φ=1)192C2^2.51(S3xC2^3)192,1510
C22.52(S3×C23) = S3×C23×C4central extension (φ=1)96C2^2.52(S3xC2^3)192,1511
C22.53(S3×C23) = C23×D12central extension (φ=1)96C2^2.53(S3xC2^3)192,1512
C22.54(S3×C23) = C22×S3×Q8central extension (φ=1)96C2^2.54(S3xC2^3)192,1517
C22.55(S3×C23) = C22×Q8⋊3S3central extension (φ=1)96C2^2.55(S3xC2^3)192,1518
C22.56(S3×C23) = C2×D4○D12central extension (φ=1)48C2^2.56(S3xC2^3)192,1521
C22.57(S3×C23) = C2×Q8○D12central extension (φ=1)96C2^2.57(S3xC2^3)192,1522
C22.58(S3×C23) = Dic3×C24central extension (φ=1)192C2^2.58(S3xC2^3)192,1528
C22.59(S3×C23) = C2×C12⋊2Q8central stem extension (φ=1)192C2^2.59(S3xC2^3)192,1027
C22.60(S3×C23) = C2×C12.6Q8central stem extension (φ=1)192C2^2.60(S3xC2^3)192,1028
C22.61(S3×C23) = C42.274D6central stem extension (φ=1)96C2^2.61(S3xC2^3)192,1029
C22.62(S3×C23) = C2×C4⋊D12central stem extension (φ=1)96C2^2.62(S3xC2^3)192,1034
C22.63(S3×C23) = C2×C42⋊7S3central stem extension (φ=1)96C2^2.63(S3xC2^3)192,1035
C22.64(S3×C23) = C42.276D6central stem extension (φ=1)96C2^2.64(S3xC2^3)192,1036
C22.65(S3×C23) = C2×C42⋊3S3central stem extension (φ=1)96C2^2.65(S3xC2^3)192,1037
C22.66(S3×C23) = C42.277D6central stem extension (φ=1)96C2^2.66(S3xC2^3)192,1038
C22.67(S3×C23) = C2×Dic3.D4central stem extension (φ=1)96C2^2.67(S3xC2^3)192,1040
C22.68(S3×C23) = C2×C23.8D6central stem extension (φ=1)96C2^2.68(S3xC2^3)192,1041
C22.69(S3×C23) = C23⋊3Dic6central stem extension (φ=1)48C2^2.69(S3xC2^3)192,1042
C22.70(S3×C23) = C2×D6⋊D4central stem extension (φ=1)48C2^2.70(S3xC2^3)192,1046
C22.71(S3×C23) = C2×C23.9D6central stem extension (φ=1)96C2^2.71(S3xC2^3)192,1047
C22.72(S3×C23) = C2×Dic3⋊D4central stem extension (φ=1)96C2^2.72(S3xC2^3)192,1048
C22.73(S3×C23) = C24.38D6central stem extension (φ=1)48C2^2.73(S3xC2^3)192,1049
C22.74(S3×C23) = C2×C23.11D6central stem extension (φ=1)96C2^2.74(S3xC2^3)192,1050
C22.75(S3×C23) = C2×C23.21D6central stem extension (φ=1)96C2^2.75(S3xC2^3)192,1051
C22.76(S3×C23) = C23⋊4D12central stem extension (φ=1)48C2^2.76(S3xC2^3)192,1052
C22.77(S3×C23) = C24.41D6central stem extension (φ=1)48C2^2.77(S3xC2^3)192,1053
C22.78(S3×C23) = C24.42D6central stem extension (φ=1)48C2^2.78(S3xC2^3)192,1054
C22.79(S3×C23) = C2×C12⋊Q8central stem extension (φ=1)192C2^2.79(S3xC2^3)192,1056
C22.80(S3×C23) = C2×Dic3.Q8central stem extension (φ=1)192C2^2.80(S3xC2^3)192,1057
C22.81(S3×C23) = C2×C4.Dic6central stem extension (φ=1)192C2^2.81(S3xC2^3)192,1058
C22.82(S3×C23) = C6.72+ 1+4central stem extension (φ=1)96C2^2.82(S3xC2^3)192,1059
C22.83(S3×C23) = C2×D6.D4central stem extension (φ=1)96C2^2.83(S3xC2^3)192,1064
C22.84(S3×C23) = C2×C12⋊D4central stem extension (φ=1)96C2^2.84(S3xC2^3)192,1065
C22.85(S3×C23) = C6.2- 1+4central stem extension (φ=1)96C2^2.85(S3xC2^3)192,1066
C22.86(S3×C23) = C2×D6⋊Q8central stem extension (φ=1)96C2^2.86(S3xC2^3)192,1067
C22.87(S3×C23) = C2×C4.D12central stem extension (φ=1)96C2^2.87(S3xC2^3)192,1068
C22.88(S3×C23) = C6.2+ 1+4central stem extension (φ=1)96C2^2.88(S3xC2^3)192,1069
C22.89(S3×C23) = C6.102+ 1+4central stem extension (φ=1)96C2^2.89(S3xC2^3)192,1070
C22.90(S3×C23) = C2×C4⋊C4⋊S3central stem extension (φ=1)96C2^2.90(S3xC2^3)192,1071
C22.91(S3×C23) = C6.52- 1+4central stem extension (φ=1)96C2^2.91(S3xC2^3)192,1072
C22.92(S3×C23) = C6.112+ 1+4central stem extension (φ=1)96C2^2.92(S3xC2^3)192,1073
C22.93(S3×C23) = C6.62- 1+4central stem extension (φ=1)96C2^2.93(S3xC2^3)192,1074
C22.94(S3×C23) = C42.88D6central stem extension (φ=1)96C2^2.94(S3xC2^3)192,1076
C22.95(S3×C23) = C42.89D6central stem extension (φ=1)96C2^2.95(S3xC2^3)192,1077
C22.96(S3×C23) = C42.90D6central stem extension (φ=1)96C2^2.96(S3xC2^3)192,1078
C22.97(S3×C23) = C42⋊10D6central stem extension (φ=1)48C2^2.97(S3xC2^3)192,1083
C22.98(S3×C23) = C42⋊11D6central stem extension (φ=1)48C2^2.98(S3xC2^3)192,1084
C22.99(S3×C23) = C42.92D6central stem extension (φ=1)96C2^2.99(S3xC2^3)192,1085
C22.100(S3×C23) = C42⋊12D6central stem extension (φ=1)48C2^2.100(S3xC2^3)192,1086
C22.101(S3×C23) = C42.93D6central stem extension (φ=1)96C2^2.101(S3xC2^3)192,1087
C22.102(S3×C23) = C42.94D6central stem extension (φ=1)96C2^2.102(S3xC2^3)192,1088
C22.103(S3×C23) = C42.95D6central stem extension (φ=1)96C2^2.103(S3xC2^3)192,1089
C22.104(S3×C23) = C42.96D6central stem extension (φ=1)96C2^2.104(S3xC2^3)192,1090
C22.105(S3×C23) = C42.97D6central stem extension (φ=1)96C2^2.105(S3xC2^3)192,1091
C22.106(S3×C23) = C42.98D6central stem extension (φ=1)96C2^2.106(S3xC2^3)192,1092
C22.107(S3×C23) = C42.99D6central stem extension (φ=1)96C2^2.107(S3xC2^3)192,1093
C22.108(S3×C23) = C42.100D6central stem extension (φ=1)96C2^2.108(S3xC2^3)192,1094
C22.109(S3×C23) = D4×Dic6central stem extension (φ=1)96C2^2.109(S3xC2^3)192,1096
C22.110(S3×C23) = C42.102D6central stem extension (φ=1)96C2^2.110(S3xC2^3)192,1097
C22.111(S3×C23) = D4⋊5Dic6central stem extension (φ=1)96C2^2.111(S3xC2^3)192,1098
C22.112(S3×C23) = C42.104D6central stem extension (φ=1)96C2^2.112(S3xC2^3)192,1099
C22.113(S3×C23) = C42.105D6central stem extension (φ=1)96C2^2.113(S3xC2^3)192,1100
C22.114(S3×C23) = C42.106D6central stem extension (φ=1)96C2^2.114(S3xC2^3)192,1101
C22.115(S3×C23) = D4⋊6Dic6central stem extension (φ=1)96C2^2.115(S3xC2^3)192,1102
C22.116(S3×C23) = C42⋊14D6central stem extension (φ=1)48C2^2.116(S3xC2^3)192,1106
C22.117(S3×C23) = C42.228D6central stem extension (φ=1)96C2^2.117(S3xC2^3)192,1107
C22.118(S3×C23) = D4×D12central stem extension (φ=1)48C2^2.118(S3xC2^3)192,1108
C22.119(S3×C23) = D12⋊23D4central stem extension (φ=1)48C2^2.119(S3xC2^3)192,1109
C22.120(S3×C23) = D12⋊24D4central stem extension (φ=1)96C2^2.120(S3xC2^3)192,1110
C22.121(S3×C23) = Dic6⋊23D4central stem extension (φ=1)96C2^2.121(S3xC2^3)192,1111
C22.122(S3×C23) = Dic6⋊24D4central stem extension (φ=1)96C2^2.122(S3xC2^3)192,1112
C22.123(S3×C23) = D4⋊5D12central stem extension (φ=1)48C2^2.123(S3xC2^3)192,1113
C22.124(S3×C23) = D4⋊6D12central stem extension (φ=1)96C2^2.124(S3xC2^3)192,1114
C22.125(S3×C23) = C42⋊18D6central stem extension (φ=1)48C2^2.125(S3xC2^3)192,1115
C22.126(S3×C23) = C42.229D6central stem extension (φ=1)96C2^2.126(S3xC2^3)192,1116
C22.127(S3×C23) = C42.113D6central stem extension (φ=1)96C2^2.127(S3xC2^3)192,1117
C22.128(S3×C23) = C42.114D6central stem extension (φ=1)96C2^2.128(S3xC2^3)192,1118
C22.129(S3×C23) = C42⋊19D6central stem extension (φ=1)48C2^2.129(S3xC2^3)192,1119
C22.130(S3×C23) = C42.115D6central stem extension (φ=1)96C2^2.130(S3xC2^3)192,1120
C22.131(S3×C23) = C42.116D6central stem extension (φ=1)96C2^2.131(S3xC2^3)192,1121
C22.132(S3×C23) = C42.117D6central stem extension (φ=1)96C2^2.132(S3xC2^3)192,1122
C22.133(S3×C23) = C42.118D6central stem extension (φ=1)96C2^2.133(S3xC2^3)192,1123
C22.134(S3×C23) = C42.119D6central stem extension (φ=1)96C2^2.134(S3xC2^3)192,1124
C22.135(S3×C23) = Q8×Dic6central stem extension (φ=1)192C2^2.135(S3xC2^3)192,1125
C22.136(S3×C23) = Dic6⋊10Q8central stem extension (φ=1)192C2^2.136(S3xC2^3)192,1126
C22.137(S3×C23) = C42.122D6central stem extension (φ=1)96C2^2.137(S3xC2^3)192,1127
C22.138(S3×C23) = Q8⋊6Dic6central stem extension (φ=1)192C2^2.138(S3xC2^3)192,1128
C22.139(S3×C23) = Q8⋊7Dic6central stem extension (φ=1)192C2^2.139(S3xC2^3)192,1129
C22.140(S3×C23) = Q8×D12central stem extension (φ=1)96C2^2.140(S3xC2^3)192,1134
C22.141(S3×C23) = Q8⋊6D12central stem extension (φ=1)96C2^2.141(S3xC2^3)192,1135
C22.142(S3×C23) = Q8⋊7D12central stem extension (φ=1)96C2^2.142(S3xC2^3)192,1136
C22.143(S3×C23) = C42.232D6central stem extension (φ=1)96C2^2.143(S3xC2^3)192,1137
C22.144(S3×C23) = D12⋊10Q8central stem extension (φ=1)96C2^2.144(S3xC2^3)192,1138
C22.145(S3×C23) = C42.131D6central stem extension (φ=1)96C2^2.145(S3xC2^3)192,1139
C22.146(S3×C23) = C42.132D6central stem extension (φ=1)96C2^2.146(S3xC2^3)192,1140
C22.147(S3×C23) = C42.133D6central stem extension (φ=1)96C2^2.147(S3xC2^3)192,1141
C22.148(S3×C23) = C42.134D6central stem extension (φ=1)96C2^2.148(S3xC2^3)192,1142
C22.149(S3×C23) = C42.135D6central stem extension (φ=1)96C2^2.149(S3xC2^3)192,1143
C22.150(S3×C23) = C42.136D6central stem extension (φ=1)96C2^2.150(S3xC2^3)192,1144
C22.151(S3×C23) = C24.67D6central stem extension (φ=1)48C2^2.151(S3xC2^3)192,1145
C22.152(S3×C23) = C24.43D6central stem extension (φ=1)48C2^2.152(S3xC2^3)192,1146
C22.153(S3×C23) = S3×C22≀C2central stem extension (φ=1)24C2^2.153(S3xC2^3)192,1147
C22.154(S3×C23) = C24⋊7D6central stem extension (φ=1)48C2^2.154(S3xC2^3)192,1148
C22.155(S3×C23) = C24⋊8D6central stem extension (φ=1)48C2^2.155(S3xC2^3)192,1149
C22.156(S3×C23) = C24.44D6central stem extension (φ=1)48C2^2.156(S3xC2^3)192,1150
C22.157(S3×C23) = C24.45D6central stem extension (φ=1)48C2^2.157(S3xC2^3)192,1151
C22.158(S3×C23) = C24.46D6central stem extension (φ=1)48C2^2.158(S3xC2^3)192,1152
C22.159(S3×C23) = C24⋊9D6central stem extension (φ=1)48C2^2.159(S3xC2^3)192,1153
C22.160(S3×C23) = C24.47D6central stem extension (φ=1)48C2^2.160(S3xC2^3)192,1154
C22.161(S3×C23) = C12⋊(C4○D4)central stem extension (φ=1)96C2^2.161(S3xC2^3)192,1155
C22.162(S3×C23) = C6.322+ 1+4central stem extension (φ=1)96C2^2.162(S3xC2^3)192,1156
C22.163(S3×C23) = Dic6⋊19D4central stem extension (φ=1)96C2^2.163(S3xC2^3)192,1157
C22.164(S3×C23) = Dic6⋊20D4central stem extension (φ=1)96C2^2.164(S3xC2^3)192,1158
C22.165(S3×C23) = C4⋊C4.178D6central stem extension (φ=1)96C2^2.165(S3xC2^3)192,1159
C22.166(S3×C23) = C6.342+ 1+4central stem extension (φ=1)96C2^2.166(S3xC2^3)192,1160
C22.167(S3×C23) = C6.702- 1+4central stem extension (φ=1)96C2^2.167(S3xC2^3)192,1161
C22.168(S3×C23) = C6.712- 1+4central stem extension (φ=1)96C2^2.168(S3xC2^3)192,1162
C22.169(S3×C23) = S3×C4⋊D4central stem extension (φ=1)48C2^2.169(S3xC2^3)192,1163
C22.170(S3×C23) = C6.372+ 1+4central stem extension (φ=1)48C2^2.170(S3xC2^3)192,1164
C22.171(S3×C23) = C4⋊C4⋊21D6central stem extension (φ=1)48C2^2.171(S3xC2^3)192,1165
C22.172(S3×C23) = C6.382+ 1+4central stem extension (φ=1)48C2^2.172(S3xC2^3)192,1166
C22.173(S3×C23) = C6.722- 1+4central stem extension (φ=1)96C2^2.173(S3xC2^3)192,1167
C22.174(S3×C23) = D12⋊19D4central stem extension (φ=1)48C2^2.174(S3xC2^3)192,1168
C22.175(S3×C23) = C6.402+ 1+4central stem extension (φ=1)48C2^2.175(S3xC2^3)192,1169
C22.176(S3×C23) = C6.732- 1+4central stem extension (φ=1)96C2^2.176(S3xC2^3)192,1170
C22.177(S3×C23) = D12⋊20D4central stem extension (φ=1)48C2^2.177(S3xC2^3)192,1171
C22.178(S3×C23) = C6.422+ 1+4central stem extension (φ=1)48C2^2.178(S3xC2^3)192,1172
C22.179(S3×C23) = C6.432+ 1+4central stem extension (φ=1)96C2^2.179(S3xC2^3)192,1173
C22.180(S3×C23) = C6.442+ 1+4central stem extension (φ=1)96C2^2.180(S3xC2^3)192,1174
C22.181(S3×C23) = C6.452+ 1+4central stem extension (φ=1)96C2^2.181(S3xC2^3)192,1175
C22.182(S3×C23) = C6.462+ 1+4central stem extension (φ=1)48C2^2.182(S3xC2^3)192,1176
C22.183(S3×C23) = C6.1152+ 1+4central stem extension (φ=1)96C2^2.183(S3xC2^3)192,1177
C22.184(S3×C23) = C6.472+ 1+4central stem extension (φ=1)96C2^2.184(S3xC2^3)192,1178
C22.185(S3×C23) = C6.482+ 1+4central stem extension (φ=1)48C2^2.185(S3xC2^3)192,1179
C22.186(S3×C23) = C6.492+ 1+4central stem extension (φ=1)96C2^2.186(S3xC2^3)192,1180
C22.187(S3×C23) = (Q8×Dic3)⋊C2central stem extension (φ=1)96C2^2.187(S3xC2^3)192,1181
C22.188(S3×C23) = C6.752- 1+4central stem extension (φ=1)96C2^2.188(S3xC2^3)192,1182
C22.189(S3×C23) = C4⋊C4.187D6central stem extension (φ=1)96C2^2.189(S3xC2^3)192,1183
C22.190(S3×C23) = C6.152- 1+4central stem extension (φ=1)96C2^2.190(S3xC2^3)192,1184
C22.191(S3×C23) = S3×C22⋊Q8central stem extension (φ=1)48C2^2.191(S3xC2^3)192,1185
C22.192(S3×C23) = C4⋊C4⋊26D6central stem extension (φ=1)48C2^2.192(S3xC2^3)192,1186
C22.193(S3×C23) = C6.162- 1+4central stem extension (φ=1)96C2^2.193(S3xC2^3)192,1187
C22.194(S3×C23) = C6.172- 1+4central stem extension (φ=1)96C2^2.194(S3xC2^3)192,1188
C22.195(S3×C23) = D12⋊21D4central stem extension (φ=1)48C2^2.195(S3xC2^3)192,1189
C22.196(S3×C23) = D12⋊22D4central stem extension (φ=1)96C2^2.196(S3xC2^3)192,1190
C22.197(S3×C23) = Dic6⋊21D4central stem extension (φ=1)96C2^2.197(S3xC2^3)192,1191
C22.198(S3×C23) = Dic6⋊22D4central stem extension (φ=1)96C2^2.198(S3xC2^3)192,1192
C22.199(S3×C23) = C6.512+ 1+4central stem extension (φ=1)48C2^2.199(S3xC2^3)192,1193
C22.200(S3×C23) = C6.1182+ 1+4central stem extension (φ=1)96C2^2.200(S3xC2^3)192,1194
C22.201(S3×C23) = C6.522+ 1+4central stem extension (φ=1)96C2^2.201(S3xC2^3)192,1195
C22.202(S3×C23) = C6.532+ 1+4central stem extension (φ=1)48C2^2.202(S3xC2^3)192,1196
C22.203(S3×C23) = C6.202- 1+4central stem extension (φ=1)96C2^2.203(S3xC2^3)192,1197
C22.204(S3×C23) = C6.212- 1+4central stem extension (φ=1)96C2^2.204(S3xC2^3)192,1198
C22.205(S3×C23) = C6.222- 1+4central stem extension (φ=1)96C2^2.205(S3xC2^3)192,1199
C22.206(S3×C23) = C6.232- 1+4central stem extension (φ=1)96C2^2.206(S3xC2^3)192,1200
C22.207(S3×C23) = C6.772- 1+4central stem extension (φ=1)96C2^2.207(S3xC2^3)192,1201
C22.208(S3×C23) = C6.242- 1+4central stem extension (φ=1)96C2^2.208(S3xC2^3)192,1202
C22.209(S3×C23) = C6.562+ 1+4central stem extension (φ=1)48C2^2.209(S3xC2^3)192,1203
C22.210(S3×C23) = C6.782- 1+4central stem extension (φ=1)96C2^2.210(S3xC2^3)192,1204
C22.211(S3×C23) = C6.252- 1+4central stem extension (φ=1)96C2^2.211(S3xC2^3)192,1205
C22.212(S3×C23) = C6.592+ 1+4central stem extension (φ=1)96C2^2.212(S3xC2^3)192,1206
C22.213(S3×C23) = C6.792- 1+4central stem extension (φ=1)96C2^2.213(S3xC2^3)192,1207
C22.214(S3×C23) = C4⋊C4.197D6central stem extension (φ=1)96C2^2.214(S3xC2^3)192,1208
C22.215(S3×C23) = C6.802- 1+4central stem extension (φ=1)96C2^2.215(S3xC2^3)192,1209
C22.216(S3×C23) = C6.812- 1+4central stem extension (φ=1)96C2^2.216(S3xC2^3)192,1210
C22.217(S3×C23) = S3×C22.D4central stem extension (φ=1)48C2^2.217(S3xC2^3)192,1211
C22.218(S3×C23) = C6.1202+ 1+4central stem extension (φ=1)48C2^2.218(S3xC2^3)192,1212
C22.219(S3×C23) = C6.1212+ 1+4central stem extension (φ=1)48C2^2.219(S3xC2^3)192,1213
C22.220(S3×C23) = C6.822- 1+4central stem extension (φ=1)96C2^2.220(S3xC2^3)192,1214
C22.221(S3×C23) = C4⋊C4⋊28D6central stem extension (φ=1)48C2^2.221(S3xC2^3)192,1215
C22.222(S3×C23) = C6.612+ 1+4central stem extension (φ=1)48C2^2.222(S3xC2^3)192,1216
C22.223(S3×C23) = C6.1222+ 1+4central stem extension (φ=1)48C2^2.223(S3xC2^3)192,1217
C22.224(S3×C23) = C6.622+ 1+4central stem extension (φ=1)48C2^2.224(S3xC2^3)192,1218
C22.225(S3×C23) = C6.632+ 1+4central stem extension (φ=1)96C2^2.225(S3xC2^3)192,1219
C22.226(S3×C23) = C6.642+ 1+4central stem extension (φ=1)96C2^2.226(S3xC2^3)192,1220
C22.227(S3×C23) = C6.652+ 1+4central stem extension (φ=1)96C2^2.227(S3xC2^3)192,1221
C22.228(S3×C23) = C6.662+ 1+4central stem extension (φ=1)96C2^2.228(S3xC2^3)192,1222
C22.229(S3×C23) = C6.672+ 1+4central stem extension (φ=1)96C2^2.229(S3xC2^3)192,1223
C22.230(S3×C23) = C6.852- 1+4central stem extension (φ=1)96C2^2.230(S3xC2^3)192,1224
C22.231(S3×C23) = C6.682+ 1+4central stem extension (φ=1)48C2^2.231(S3xC2^3)192,1225
C22.232(S3×C23) = C6.692+ 1+4central stem extension (φ=1)96C2^2.232(S3xC2^3)192,1226
C22.233(S3×C23) = C42.233D6central stem extension (φ=1)96C2^2.233(S3xC2^3)192,1227
C22.234(S3×C23) = C42.137D6central stem extension (φ=1)96C2^2.234(S3xC2^3)192,1228
C22.235(S3×C23) = C42.138D6central stem extension (φ=1)96C2^2.235(S3xC2^3)192,1229
C22.236(S3×C23) = C42.139D6central stem extension (φ=1)96C2^2.236(S3xC2^3)192,1230
C22.237(S3×C23) = C42.140D6central stem extension (φ=1)96C2^2.237(S3xC2^3)192,1231
C22.238(S3×C23) = S3×C4.4D4central stem extension (φ=1)48C2^2.238(S3xC2^3)192,1232
C22.239(S3×C23) = C42⋊20D6central stem extension (φ=1)48C2^2.239(S3xC2^3)192,1233
C22.240(S3×C23) = C42.141D6central stem extension (φ=1)96C2^2.240(S3xC2^3)192,1234
C22.241(S3×C23) = D12⋊10D4central stem extension (φ=1)48C2^2.241(S3xC2^3)192,1235
C22.242(S3×C23) = Dic6⋊10D4central stem extension (φ=1)96C2^2.242(S3xC2^3)192,1236
C22.243(S3×C23) = C42⋊22D6central stem extension (φ=1)48C2^2.243(S3xC2^3)192,1237
C22.244(S3×C23) = C42⋊23D6central stem extension (φ=1)48C2^2.244(S3xC2^3)192,1238
C22.245(S3×C23) = C42.234D6central stem extension (φ=1)96C2^2.245(S3xC2^3)192,1239
C22.246(S3×C23) = C42.143D6central stem extension (φ=1)96C2^2.246(S3xC2^3)192,1240
C22.247(S3×C23) = C42.144D6central stem extension (φ=1)96C2^2.247(S3xC2^3)192,1241
C22.248(S3×C23) = C42⋊24D6central stem extension (φ=1)48C2^2.248(S3xC2^3)192,1242
C22.249(S3×C23) = C42.145D6central stem extension (φ=1)96C2^2.249(S3xC2^3)192,1243
C22.250(S3×C23) = Dic6⋊7Q8central stem extension (φ=1)192C2^2.250(S3xC2^3)192,1244
C22.251(S3×C23) = C42.147D6central stem extension (φ=1)192C2^2.251(S3xC2^3)192,1245
C22.252(S3×C23) = S3×C42.C2central stem extension (φ=1)96C2^2.252(S3xC2^3)192,1246
C22.253(S3×C23) = C42.236D6central stem extension (φ=1)96C2^2.253(S3xC2^3)192,1247
C22.254(S3×C23) = C42.148D6central stem extension (φ=1)96C2^2.254(S3xC2^3)192,1248
C22.255(S3×C23) = D12⋊7Q8central stem extension (φ=1)96C2^2.255(S3xC2^3)192,1249
C22.256(S3×C23) = C42.237D6central stem extension (φ=1)96C2^2.256(S3xC2^3)192,1250
C22.257(S3×C23) = C42.150D6central stem extension (φ=1)96C2^2.257(S3xC2^3)192,1251
C22.258(S3×C23) = C42.151D6central stem extension (φ=1)96C2^2.258(S3xC2^3)192,1252
C22.259(S3×C23) = C42.152D6central stem extension (φ=1)96C2^2.259(S3xC2^3)192,1253
C22.260(S3×C23) = C42.153D6central stem extension (φ=1)96C2^2.260(S3xC2^3)192,1254
C22.261(S3×C23) = C42.154D6central stem extension (φ=1)96C2^2.261(S3xC2^3)192,1255
C22.262(S3×C23) = C42.155D6central stem extension (φ=1)96C2^2.262(S3xC2^3)192,1256
C22.263(S3×C23) = C42.156D6central stem extension (φ=1)96C2^2.263(S3xC2^3)192,1257
C22.264(S3×C23) = C42.157D6central stem extension (φ=1)96C2^2.264(S3xC2^3)192,1258
C22.265(S3×C23) = C42.158D6central stem extension (φ=1)96C2^2.265(S3xC2^3)192,1259
C22.266(S3×C23) = C42.159D6central stem extension (φ=1)96C2^2.266(S3xC2^3)192,1260
C22.267(S3×C23) = C42.160D6central stem extension (φ=1)96C2^2.267(S3xC2^3)192,1261
C22.268(S3×C23) = S3×C42⋊2C2central stem extension (φ=1)48C2^2.268(S3xC2^3)192,1262
C22.269(S3×C23) = C42⋊25D6central stem extension (φ=1)48C2^2.269(S3xC2^3)192,1263
C22.270(S3×C23) = C42⋊26D6central stem extension (φ=1)48C2^2.270(S3xC2^3)192,1264
C22.271(S3×C23) = C42.189D6central stem extension (φ=1)96C2^2.271(S3xC2^3)192,1265
C22.272(S3×C23) = C42.161D6central stem extension (φ=1)96C2^2.272(S3xC2^3)192,1266
C22.273(S3×C23) = C42.162D6central stem extension (φ=1)96C2^2.273(S3xC2^3)192,1267
C22.274(S3×C23) = C42.163D6central stem extension (φ=1)96C2^2.274(S3xC2^3)192,1268
C22.275(S3×C23) = C42.164D6central stem extension (φ=1)96C2^2.275(S3xC2^3)192,1269
C22.276(S3×C23) = C42⋊27D6central stem extension (φ=1)48C2^2.276(S3xC2^3)192,1270
C22.277(S3×C23) = C42.165D6central stem extension (φ=1)96C2^2.277(S3xC2^3)192,1271
C22.278(S3×C23) = C42.166D6central stem extension (φ=1)96C2^2.278(S3xC2^3)192,1272
C22.279(S3×C23) = S3×C4⋊1D4central stem extension (φ=1)48C2^2.279(S3xC2^3)192,1273
C22.280(S3×C23) = C42⋊28D6central stem extension (φ=1)48C2^2.280(S3xC2^3)192,1274
C22.281(S3×C23) = C42.238D6central stem extension (φ=1)96C2^2.281(S3xC2^3)192,1275
C22.282(S3×C23) = D12⋊11D4central stem extension (φ=1)48C2^2.282(S3xC2^3)192,1276
C22.283(S3×C23) = Dic6⋊11D4central stem extension (φ=1)96C2^2.283(S3xC2^3)192,1277
C22.284(S3×C23) = C42.168D6central stem extension (φ=1)96C2^2.284(S3xC2^3)192,1278
C22.285(S3×C23) = C42⋊30D6central stem extension (φ=1)48C2^2.285(S3xC2^3)192,1279
C22.286(S3×C23) = Dic6⋊8Q8central stem extension (φ=1)192C2^2.286(S3xC2^3)192,1280
C22.287(S3×C23) = Dic6⋊9Q8central stem extension (φ=1)192C2^2.287(S3xC2^3)192,1281
C22.288(S3×C23) = S3×C4⋊Q8central stem extension (φ=1)96C2^2.288(S3xC2^3)192,1282
C22.289(S3×C23) = C42.171D6central stem extension (φ=1)96C2^2.289(S3xC2^3)192,1283
C22.290(S3×C23) = C42.240D6central stem extension (φ=1)96C2^2.290(S3xC2^3)192,1284
C22.291(S3×C23) = D12⋊12D4central stem extension (φ=1)96C2^2.291(S3xC2^3)192,1285
C22.292(S3×C23) = D12⋊8Q8central stem extension (φ=1)96C2^2.292(S3xC2^3)192,1286
C22.293(S3×C23) = C42.241D6central stem extension (φ=1)96C2^2.293(S3xC2^3)192,1287
C22.294(S3×C23) = C42.174D6central stem extension (φ=1)96C2^2.294(S3xC2^3)192,1288
C22.295(S3×C23) = D12⋊9Q8central stem extension (φ=1)96C2^2.295(S3xC2^3)192,1289
C22.296(S3×C23) = C42.176D6central stem extension (φ=1)96C2^2.296(S3xC2^3)192,1290
C22.297(S3×C23) = C42.177D6central stem extension (φ=1)96C2^2.297(S3xC2^3)192,1291
C22.298(S3×C23) = C42.178D6central stem extension (φ=1)96C2^2.298(S3xC2^3)192,1292
C22.299(S3×C23) = C42.179D6central stem extension (φ=1)96C2^2.299(S3xC2^3)192,1293
C22.300(S3×C23) = C42.180D6central stem extension (φ=1)96C2^2.300(S3xC2^3)192,1294
C22.301(S3×C23) = C2×C12.48D4central stem extension (φ=1)96C2^2.301(S3xC2^3)192,1343
C22.302(S3×C23) = C2×C23.28D6central stem extension (φ=1)96C2^2.302(S3xC2^3)192,1348
C22.303(S3×C23) = C2×C12⋊7D4central stem extension (φ=1)96C2^2.303(S3xC2^3)192,1349
C22.304(S3×C23) = C24.83D6central stem extension (φ=1)48C2^2.304(S3xC2^3)192,1350
C22.305(S3×C23) = C2×C23.23D6central stem extension (φ=1)96C2^2.305(S3xC2^3)192,1355
C22.306(S3×C23) = C2×C23.12D6central stem extension (φ=1)96C2^2.306(S3xC2^3)192,1356
C22.307(S3×C23) = C2×C23⋊2D6central stem extension (φ=1)48C2^2.307(S3xC2^3)192,1358
C22.308(S3×C23) = C2×D6⋊3D4central stem extension (φ=1)96C2^2.308(S3xC2^3)192,1359
C22.309(S3×C23) = D4×C3⋊D4central stem extension (φ=1)48C2^2.309(S3xC2^3)192,1360
C22.310(S3×C23) = C2×C23.14D6central stem extension (φ=1)96C2^2.310(S3xC2^3)192,1361
C22.311(S3×C23) = C2×C12⋊3D4central stem extension (φ=1)96C2^2.311(S3xC2^3)192,1362
C22.312(S3×C23) = C24⋊12D6central stem extension (φ=1)48C2^2.312(S3xC2^3)192,1363
C22.313(S3×C23) = C24.52D6central stem extension (φ=1)48C2^2.313(S3xC2^3)192,1364
C22.314(S3×C23) = C24.53D6central stem extension (φ=1)48C2^2.314(S3xC2^3)192,1365
C22.315(S3×C23) = C2×Dic3⋊Q8central stem extension (φ=1)192C2^2.315(S3xC2^3)192,1369
C22.316(S3×C23) = C2×D6⋊3Q8central stem extension (φ=1)96C2^2.316(S3xC2^3)192,1372
C22.317(S3×C23) = C2×C12.23D4central stem extension (φ=1)96C2^2.317(S3xC2^3)192,1373
C22.318(S3×C23) = Q8×C3⋊D4central stem extension (φ=1)96C2^2.318(S3xC2^3)192,1374
C22.319(S3×C23) = C6.442- 1+4central stem extension (φ=1)96C2^2.319(S3xC2^3)192,1375
C22.320(S3×C23) = C6.452- 1+4central stem extension (φ=1)96C2^2.320(S3xC2^3)192,1376
C22.321(S3×C23) = C6.1042- 1+4central stem extension (φ=1)96C2^2.321(S3xC2^3)192,1383
C22.322(S3×C23) = C6.1052- 1+4central stem extension (φ=1)96C2^2.322(S3xC2^3)192,1384
C22.323(S3×C23) = (C2×D4)⋊43D6central stem extension (φ=1)48C2^2.323(S3xC2^3)192,1387
C22.324(S3×C23) = C6.1452+ 1+4central stem extension (φ=1)48C2^2.324(S3xC2^3)192,1388
C22.325(S3×C23) = C6.1462+ 1+4central stem extension (φ=1)48C2^2.325(S3xC2^3)192,1389
C22.326(S3×C23) = C6.1072- 1+4central stem extension (φ=1)96C2^2.326(S3xC2^3)192,1390
C22.327(S3×C23) = (C2×C12)⋊17D4central stem extension (φ=1)96C2^2.327(S3xC2^3)192,1391
C22.328(S3×C23) = C6.1082- 1+4central stem extension (φ=1)96C2^2.328(S3xC2^3)192,1392
C22.329(S3×C23) = C6.1482+ 1+4central stem extension (φ=1)96C2^2.329(S3xC2^3)192,1393
C22.330(S3×C23) = C2×C24⋊4S3central stem extension (φ=1)48C2^2.330(S3xC2^3)192,1399

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