Polytopes for The Mathieu Group M24

The Mathieu Group M24 has :


Polytopes of rank 5

indexTypeFacet GroupVF GroupFacet(Facet)Facet(VF)VF(VF)Dual
m24[1257]{4,10,3,3}Order 887040Order 190080Solvable, Order 320Order 1320Solvable, Order 24m24[1259]
m24[1258]{4,10,3,4}Order 887040Order 190080Solvable, Order 320Order 1320Solvable, Order 48m24[1260]
m24[1259]{3,3,10,4}Order 190080Order 887040Solvable, Order 24Order 1320Solvable, Order 320m24[1257]
m24[1260]{4,3,10,4}Order 190080Order 887040Solvable, Order 48Order 1320Solvable, Order 320m24[1258]

Polytopes of rank 4

indexTypeFacet GroupVF GroupDual
m24[947]{5,5,4}Order 960Order 120m24[1139]
m24[948]{5,5,4}Order 960Order 1320m24[1107]
m24[949]{5,6,4}Order 960Solvable, Order 216m24[1120]
m24[950]{5,6,4}Order 960Order 1440m24[1133]
m24[951]{5,4,4}Order 1920Solvable, Order 128m24[1153]
m24[952]{5,4,6}Order 1920Solvable, Order 768m24[1087]
m24[953]{5,12,4}Order 1920Order 190080m24[1234]
m24[954]{5,12,6}Order 1920Order 190080m24[1178]
m24[955]{5,6,4}Order 11520Solvable, Order 192m24[1155]
m24[956]{5,6,6}Order 11520Solvable, Order 384m24[1084]
m24[957]{5,6,4}Order 887040Solvable, Order 96m24[1253]
m24[958]{5,6,3}Order 887040Solvable, Order 48m24[1181]
m24[959]{5,10,3}Order 887040Order 1320m24[1179]
m24[960]{5,10,4}Order 887040Order 480m24[1252]
m24[961]{5,10,4}Order 887040Order 480m24[1188]
m24[962]{5,8,4}Order 1920Order 190080m24[1195]
m24[963]{5,8,4}Order 1920Order 190080m24[1196]
m24[964]{5,6,4}Order 11520Solvable, Order 13824m24[1152]
m24[965]{5,12,6}Order 11520Order 190080m24[1176]
m24[966]{5,12,4}Order 11520Order 190080m24[1235]
m24[967]{5,6,4}Order 887040Solvable, Order 216m24[1123]
m24[968]{5,6,4}Order 887040Order 1320m24[1104]
m24[969]{5,10,4}Order 887040Order 480m24[1186]
m24[970]{3,12,4}Order 1320Solvable, Order 1536m24[1065]
m24[971]{3,12,4}Order 1320Solvable, Order 13824m24[1019]
m24[972]{3,12,6}Order 1320Solvable, Order 6912m24[1027]
m24[973]{3,8,4}Order 720Solvable, Order 1152m24[1039]
m24[974]{3,8,4}Order 720Order 887040m24[1012]
m24[975]{3,8,6}Order 720Order 887040m24[1026]
m24[976]{3,10,4}Order 720Order 1320m24[1000]
m24[977]{3,10,4}Order 720Order 887040m24[1047]
m24[978]{3,10,6}Order 720Order 138240m24[1028]
m24[979]{3,10,4}Order 1320Order 1440m24[1058]
m24[980]{3,10,4}Order 1320Order 887040m24[1048]
m24[981]{3,10,6}Order 1320Order 138240m24[1029]
m24[982]{3,12,4}Order 1320Order 7680m24[1051]
m24[983]{3,12,4}Order 1320Solvable, Order 13824m24[1055]
m24[984]{4,12,4}Order 887040Solvable, Order 216m24[1006]
m24[985]{6,8,6}Simple, Order 95040Solvable, Order 1152m24[1024]
m24[986]{6,6,6}Simple, Order 95040Solvable, Order 6912m24[1025]
m24[987]{6,10,4}Simple, Order 95040Order 1320m24[1002]
m24[988]{6,8,4}Simple, Order 95040Solvable, Order 1152m24[1041]
m24[989]{6,12,4}Order 190080Solvable, Order 1152m24[1045]
m24[990]{6,6,4}Order 190080Solvable, Order 768m24[1070]
m24[991]{6,6,4}Order 190080Solvable, Order 216m24[1010]
m24[992]{6,12,6}Order 190080Order 1920m24[1023]
m24[993]{4,6,4}Order 190080Solvable, Order 216m24[1009]
m24[994]{4,6,4}Order 190080Solvable, Order 768m24[1069]
m24[995]{4,10,4}Order 190080Order 1440m24[1059]
m24[996]{4,12,4}Order 190080Solvable, Order 1536m24[1067]
m24[997]{4,12,4}Order 190080Solvable, Order 1152m24[1044]
m24[998]{4,12,4}Order 190080Solvable, Order 13824m24[1049]
m24[999]{4,10,4}Order 1320Order 190080m24[1147]
m24[1000]{4,10,3}Order 1320Order 720m24[976]
m24[1001]{4,10,4}Order 1320Order 190080m24[1112]
m24[1002]{4,10,6}Order 1320Simple, Order 95040m24[987]
m24[1003]{4,12,4}Order 1320Order 190080m24[1132]
m24[1004]{4,12,4}Order 1320Order 190080m24[1151]
m24[1005]{4,12,4}Solvable, Order 216Order 190080m24[1143]
m24[1006]{4,12,4}Solvable, Order 216Order 887040m24[984]
m24[1007]{4,12,4}Solvable, Order 216Order 190080m24[1115]
m24[1008]{4,6,4}Solvable, Order 216Order 190080m24[1128]
m24[1009]{4,6,4}Solvable, Order 216Order 190080m24[993]
m24[1010]{4,6,6}Solvable, Order 216Order 190080m24[991]
m24[1011]{4,6,4}Solvable, Order 216Order 190080m24[1127]
m24[1012]{4,8,3}Order 887040Order 720m24[974]
m24[1013]{4,11,4}Order 1320Simple, Order 6072m24[1204]
m24[1014]{4,11,4}Order 1320Simple, Order 6072m24[1246]
m24[1015]{4,5,4}Order 1320Order 120m24[1200]
m24[1016]{4,5,4}Order 1320Order 1320m24[1197]
m24[1017]{4,5,4}Order 1320Order 1320m24[1237]
m24[1018]{4,12,4}Solvable, Order 13824Order 190080m24[1117]
m24[1019]{4,12,3}Solvable, Order 13824Order 1320m24[971]
m24[1020]{4,12,4}Solvable, Order 13824Order 190080m24[1146]
m24[1021]{4,6,4}Order 190080Order 120m24[1207]
m24[1022]{4,11,4}Order 190080Simple, Order 6072m24[1199]
m24[1023]{6,12,6}Order 1920Order 190080m24[992]
m24[1024]{6,8,6}Solvable, Order 1152Simple, Order 95040m24[985]
m24[1025]{6,6,6}Solvable, Order 6912Simple, Order 95040m24[986]
m24[1026]{6,8,3}Order 887040Order 720m24[975]
m24[1027]{6,12,3}Solvable, Order 6912Order 1320m24[972]
m24[1028]{6,10,3}Order 138240Order 720m24[978]
m24[1029]{6,10,3}Order 138240Order 1320m24[981]
m24[1030]{10,11,4}Order 887040Simple, Order 6072m24[1247]
m24[1031]{10,11,4}Order 887040Simple, Order 6072m24[1248]
m24[1032]{10,5,4}Order 887040Order 1320m24[1238]
m24[1033]{10,4,3}Order 887040Solvable, Order 48m24[1182]
m24[1034]{10,4,4}Order 887040Solvable, Order 64m24[1255]
m24[1035]{10,5,4}Order 887040Order 120m24[1201]
m24[1036]{10,5,4}Order 887040Order 1320m24[1198]
m24[1037]{10,11,4}Order 887040Simple, Order 6072m24[1205]
m24[1038]{10,11,4}Order 887040Simple, Order 6072m24[1206]
m24[1039]{4,8,3}Solvable, Order 1152Order 720m24[973]
m24[1040]{4,8,4}Solvable, Order 1152Order 190080m24[1126]
m24[1041]{4,8,6}Solvable, Order 1152Simple, Order 95040m24[988]
m24[1042]{4,8,4}Solvable, Order 1152Order 190080m24[1114]
m24[1043]{4,12,4}Solvable, Order 1152Order 190080m24[1150]
m24[1044]{4,12,4}Solvable, Order 1152Order 190080m24[997]
m24[1045]{4,12,6}Solvable, Order 1152Order 190080m24[989]
m24[1046]{4,12,4}Solvable, Order 1152Order 190080m24[1131]
m24[1047]{4,10,3}Order 887040Order 720m24[977]
m24[1048]{4,10,3}Order 887040Order 1320m24[980]
m24[1049]{4,12,4}Solvable, Order 13824Order 190080m24[998]
m24[1050]{4,12,6}Order 7680Solvable, Order 13824m24[1085]
m24[1051]{4,12,3}Order 7680Order 1320m24[982]
m24[1052]{4,12,4}Order 7680Solvable, Order 13824m24[1158]
m24[1053]{4,10,4}Order 7680Order 1320m24[1251]
m24[1054]{4,12,6}Solvable, Order 13824Order 7680m24[1086]
m24[1055]{4,12,3}Solvable, Order 13824Order 1320m24[983]
m24[1056]{4,12,4}Solvable, Order 13824Solvable, Order 13824m24[1159]
m24[1057]{4,12,4}Solvable, Order 13824Order 1320m24[1244]
m24[1058]{4,10,3}Order 1440Order 1320m24[979]
m24[1059]{4,10,4}Order 1440Order 190080m24[995]
m24[1060]{4,10,4}Order 1440Order 190080m24[1111]
m24[1061]{4,10,4}Order 1440Order 190080m24[1148]
m24[1062]{4,11,4}Order 887040Simple, Order 6072m24[1240]
m24[1063]{4,11,4}Order 887040Simple, Order 6072m24[1243]
m24[1064]{4,10,4}Order 190080Order 1320m24[1209]
m24[1065]{4,12,3}Solvable, Order 1536Order 1320m24[970]
m24[1066]{4,12,4}Solvable, Order 1536Order 190080m24[1116]
m24[1067]{4,12,4}Solvable, Order 1536Order 190080m24[996]
m24[1068]{4,12,4}Solvable, Order 1536Order 190080m24[1142]
m24[1069]{4,6,4}Solvable, Order 768Order 190080m24[994]
m24[1070]{4,6,6}Solvable, Order 768Order 190080m24[990]
m24[1071]{4,6,4}Solvable, Order 768Order 1320m24[1210]
m24[1072]{6,6,4}Order 190080Order 240m24[1149]
m24[1073]{6,12,4}Order 190080Solvable, Order 13824m24[1113]
m24[1074]{6,6,4}Order 7680Order 1320m24[1211]
m24[1075]{3,6,4}Solvable, Order 108Order 1440m24[1137]
m24[1076]{3,6,4}Solvable, Order 108Order 1320m24[1101]
m24[1077]{3,5,6}Order 120Order 887040m24[1083]
m24[1078]{3,5,4}Order 120Order 1320m24[1109]
m24[1079]{3,10,6}Order 120Order 190080m24[1177]
m24[1080]{3,10,4}Order 120Order 887040m24[1183]
m24[1081]{3,10,3}Order 240Order 1320m24[1180]
m24[1082]{3,10,4}Order 240Order 887040m24[1184]
m24[1083]{6,5,3}Order 887040Order 120m24[1077]
m24[1084]{6,6,5}Solvable, Order 384Order 11520m24[956]
m24[1085]{6,12,4}Solvable, Order 13824Order 7680m24[1050]
m24[1086]{6,12,4}Order 7680Solvable, Order 13824m24[1054]
m24[1087]{6,4,5}Solvable, Order 768Order 1920m24[952]
m24[1088]{10,5,4}Order 887040Order 120m24[1140]
m24[1089]{10,6,4}Order 887040Order 1440m24[1135]
m24[1090]{10,6,4}Order 887040Solvable, Order 216m24[1122]
m24[1091]{10,5,4}Order 887040Order 120m24[1141]
m24[1092]{10,6,4}Order 887040Order 1440m24[1136]
m24[1093]{10,6,4}Order 887040Solvable, Order 216m24[1124]
m24[1094]{10,5,6}Order 887040Order 240m24[1168]
m24[1095]{10,6,4}Order 887040Order 1320m24[1102]
m24[1096]{10,6,4}Order 887040Solvable, Order 216m24[1125]
m24[1097]{10,10,4}Order 887040Order 480m24[1189]
m24[1098]{10,6,4}Order 887040Order 1320m24[1106]
m24[1099]{10,6,4}Order 887040Solvable, Order 216m24[1121]
m24[1100]{10,10,4}Order 887040Order 480m24[1187]
m24[1101]{4,6,3}Order 1320Solvable, Order 108m24[1076]
m24[1102]{4,6,10}Order 1320Order 887040m24[1095]
m24[1103]{4,6,6}Order 1320Order 138240m24[1163]
m24[1104]{4,6,5}Order 1320Order 887040m24[968]
m24[1105]{4,6,6}Order 1320Order 2160m24[1161]
m24[1106]{4,6,10}Order 1320Order 887040m24[1098]
m24[1107]{4,5,5}Order 1320Order 960m24[948]
m24[1108]{4,5,6}Order 1320Order 2160m24[1166]
m24[1109]{4,5,3}Order 1320Order 120m24[1078]
m24[1110]{4,5,6}Order 1320Order 2160m24[1167]
m24[1111]{4,10,4}Order 190080Order 1440m24[1060]
m24[1112]{4,10,4}Order 190080Order 1320m24[1001]
m24[1113]{4,12,6}Solvable, Order 13824Order 190080m24[1073]
m24[1114]{4,8,4}Order 190080Solvable, Order 1152m24[1042]
m24[1115]{4,12,4}Order 190080Solvable, Order 216m24[1007]
m24[1116]{4,12,4}Order 190080Solvable, Order 1536m24[1066]
m24[1117]{4,12,4}Order 190080Solvable, Order 13824m24[1018]
m24[1118]{4,12,3}Order 190080Solvable, Order 9216m24[1218]
m24[1119]{4,12,3}Order 190080Solvable, Order 144m24[1216]
m24[1120]{4,6,5}Solvable, Order 216Order 960m24[949]
m24[1121]{4,6,10}Solvable, Order 216Order 887040m24[1099]
m24[1122]{4,6,10}Solvable, Order 216Order 887040m24[1090]
m24[1123]{4,6,5}Solvable, Order 216Order 887040m24[967]
m24[1124]{4,6,10}Solvable, Order 216Order 887040m24[1093]
m24[1125]{4,6,10}Solvable, Order 216Order 887040m24[1096]
m24[1126]{4,8,4}Order 190080Solvable, Order 1152m24[1040]
m24[1127]{4,6,4}Order 190080Solvable, Order 216m24[1011]
m24[1128]{4,6,4}Order 190080Solvable, Order 216m24[1008]
m24[1129]{4,6,3}Order 190080Solvable, Order 144m24[1219]
m24[1130]{4,6,3}Order 190080Solvable, Order 144m24[1220]
m24[1131]{4,12,4}Order 190080Solvable, Order 1152m24[1046]
m24[1132]{4,12,4}Order 190080Order 1320m24[1003]
m24[1133]{4,6,5}Order 1440Order 960m24[950]
m24[1134]{4,6,6}Order 1440Order 2160m24[1162]
m24[1135]{4,6,10}Order 1440Order 887040m24[1089]
m24[1136]{4,6,10}Order 1440Order 887040m24[1092]
m24[1137]{4,6,3}Order 1440Solvable, Order 108m24[1075]
m24[1138]{4,6,6}Order 1440Order 138240m24[1164]
m24[1139]{4,5,5}Order 120Order 960m24[947]
m24[1140]{4,5,10}Order 120Order 887040m24[1088]
m24[1141]{4,5,10}Order 120Order 887040m24[1091]
m24[1142]{4,12,4}Order 190080Solvable, Order 1536m24[1068]
m24[1143]{4,12,4}Order 190080Solvable, Order 216m24[1005]
m24[1144]{4,12,3}Order 190080Solvable, Order 9216m24[1217]
m24[1145]{4,12,3}Order 190080Solvable, Order 144m24[1215]
m24[1146]{4,12,4}Order 190080Solvable, Order 13824m24[1020]
m24[1147]{4,10,4}Order 190080Order 1320m24[999]
m24[1148]{4,10,4}Order 190080Order 1440m24[1061]
m24[1149]{4,6,6}Order 240Order 190080m24[1072]
m24[1150]{4,12,4}Order 190080Solvable, Order 1152m24[1043]
m24[1151]{4,12,4}Order 190080Order 1320m24[1004]
m24[1152]{4,6,5}Solvable, Order 13824Order 11520m24[964]
m24[1153]{4,4,5}Solvable, Order 128Order 1920m24[951]
m24[1154]{4,4,6}Solvable, Order 128Order 190080m24[1165]
m24[1155]{4,6,5}Solvable, Order 192Order 11520m24[955]
m24[1156]{4,6,6}Solvable, Order 192Order 190080m24[1160]
m24[1157]{4,12,3}Solvable, Order 13824Order 190080m24[1214]
m24[1158]{4,12,4}Solvable, Order 13824Order 7680m24[1052]
m24[1159]{4,12,4}Solvable, Order 13824Solvable, Order 13824m24[1056]
m24[1160]{6,6,4}Order 190080Solvable, Order 192m24[1156]
m24[1161]{6,6,4}Order 2160Order 1320m24[1105]
m24[1162]{6,6,4}Order 2160Order 1440m24[1134]
m24[1163]{6,6,4}Order 138240Order 1320m24[1103]
m24[1164]{6,6,4}Order 138240Order 1440m24[1138]
m24[1165]{6,4,4}Order 190080Solvable, Order 128m24[1154]
m24[1166]{6,5,4}Order 2160Order 1320m24[1108]
m24[1167]{6,5,4}Order 2160Order 1320m24[1110]
m24[1168]{6,5,10}Order 240Order 887040m24[1094]
m24[1169]{6,8,4}Order 190080Order 720m24[1170]
m24[1170]{4,8,6}Order 720Order 190080m24[1169]
m24[1171]{4,5,4}Order 720Order 1320m24[1236]
m24[1172]{4,11,3}Order 887040Simple, Order 6072m24[1227]
m24[1173]{4,11,6}Order 887040Simple, Order 6072m24[1190]
m24[1174]{4,12,3}Order 190080Simple, Order 6072m24[1231]
m24[1175]{5,11,6}Order 887040Simple, Order 6072m24[1213]
m24[1176]{6,12,5}Order 190080Order 11520m24[965]
m24[1177]{6,10,3}Order 190080Order 120m24[1079]
m24[1178]{6,12,5}Order 190080Order 1920m24[954]
m24[1179]{3,10,5}Order 1320Order 887040m24[959]
m24[1180]{3,10,3}Order 1320Order 240m24[1081]
m24[1181]{3,6,5}Solvable, Order 48Order 887040m24[958]
m24[1182]{3,4,10}Solvable, Order 48Order 887040m24[1033]
m24[1183]{4,10,3}Order 887040Order 120m24[1080]
m24[1184]{4,10,3}Order 887040Order 240m24[1082]
m24[1185]{4,11,6}Order 887040Simple, Order 6072m24[1194]
m24[1186]{4,10,5}Order 480Order 887040m24[969]
m24[1187]{4,10,10}Order 480Order 887040m24[1100]
m24[1188]{4,10,5}Order 480Order 887040m24[961]
m24[1189]{4,10,10}Order 480Order 887040m24[1097]
m24[1190]{6,11,4}Simple, Order 6072Order 887040m24[1173]
m24[1191]{6,11,6}Simple, Order 6072Simple, Order 6072m24[1212]
m24[1192]{6,12,3}Simple, Order 6072Solvable, Order 576m24[1223]
m24[1193]{6,12,4}Simple, Order 6072Simple, Order 6072m24[1208]
m24[1194]{6,11,4}Simple, Order 6072Order 887040m24[1185]
m24[1195]{4,8,5}Order 190080Order 1920m24[962]
m24[1196]{4,8,5}Order 190080Order 1920m24[963]
m24[1197]{4,5,4}Order 1320Order 1320m24[1016]
m24[1198]{4,5,10}Order 1320Order 887040m24[1036]
m24[1199]{4,11,4}Simple, Order 6072Order 190080m24[1022]
m24[1200]{4,5,4}Order 120Order 1320m24[1015]
m24[1201]{4,5,10}Order 120Order 887040m24[1035]
m24[1202]{4,12,3}Order 190080Simple, Order 6072m24[1229]
m24[1203]{4,12,3}Order 1320Simple, Order 6072m24[1230]
m24[1204]{4,11,4}Simple, Order 6072Order 1320m24[1013]
m24[1205]{4,11,10}Simple, Order 6072Order 887040m24[1037]
m24[1206]{4,11,10}Simple, Order 6072Order 887040m24[1038]
m24[1207]{4,6,4}Order 120Order 190080m24[1021]
m24[1208]{4,12,6}Simple, Order 6072Simple, Order 6072m24[1193]
m24[1209]{4,10,4}Order 1320Order 190080m24[1064]
m24[1210]{4,6,4}Order 1320Solvable, Order 768m24[1071]
m24[1211]{4,6,6}Order 1320Order 7680m24[1074]
m24[1212]{6,11,6}Simple, Order 6072Simple, Order 6072m24[1191]
m24[1213]{6,11,5}Simple, Order 6072Order 887040m24[1175]
m24[1214]{3,12,4}Order 190080Solvable, Order 13824m24[1157]
m24[1215]{3,12,4}Solvable, Order 144Order 190080m24[1145]
m24[1216]{3,12,4}Solvable, Order 144Order 190080m24[1119]
m24[1217]{3,12,4}Solvable, Order 9216Order 190080m24[1144]
m24[1218]{3,12,4}Solvable, Order 9216Order 190080m24[1118]
m24[1219]{3,6,4}Solvable, Order 144Order 190080m24[1129]
m24[1220]{3,6,4}Solvable, Order 144Order 190080m24[1130]
m24[1221]{3,11,4}Order 190080Simple, Order 6072m24[1239]
m24[1222]{3,10,4}Order 190080Order 1320m24[1249]
m24[1223]{3,12,6}Solvable, Order 576Simple, Order 6072m24[1192]
m24[1224]{3,11,4}Simple, Order 6072Simple, Order 6072m24[1242]
m24[1225]{3,11,4}Order 1320Simple, Order 6072m24[1241]
m24[1226]{3,11,3}Simple, Order 6072Simple, Order 6072m24[1228]
m24[1227]{3,11,4}Simple, Order 6072Order 887040m24[1172]
m24[1228]{3,11,3}Simple, Order 6072Simple, Order 6072m24[1226]
m24[1229]{3,12,4}Simple, Order 6072Order 190080m24[1202]
m24[1230]{3,12,4}Simple, Order 6072Order 1320m24[1203]
m24[1231]{3,12,4}Simple, Order 6072Order 190080m24[1174]
m24[1232]{3,12,4}Simple, Order 6072Order 480m24[1256]
m24[1233]{3,10,4}Order 1320Order 1320m24[1250]
m24[1234]{4,12,5}Order 190080Order 1920m24[953]
m24[1235]{4,12,5}Order 190080Order 11520m24[966]
m24[1236]{4,5,4}Order 1320Order 720m24[1171]
m24[1237]{4,5,4}Order 1320Order 1320m24[1017]
m24[1238]{4,5,10}Order 1320Order 887040m24[1032]
m24[1239]{4,11,3}Simple, Order 6072Order 190080m24[1221]
m24[1240]{4,11,4}Simple, Order 6072Order 887040m24[1062]
m24[1241]{4,11,3}Simple, Order 6072Order 1320m24[1225]
m24[1242]{4,11,3}Simple, Order 6072Simple, Order 6072m24[1224]
m24[1243]{4,11,4}Simple, Order 6072Order 887040m24[1063]
m24[1244]{4,12,4}Order 1320Solvable, Order 13824m24[1057]
m24[1245]{4,12,4}Simple, Order 6072Order 480m24[1254]
m24[1246]{4,11,4}Simple, Order 6072Order 1320m24[1014]
m24[1247]{4,11,10}Simple, Order 6072Order 887040m24[1030]
m24[1248]{4,11,10}Simple, Order 6072Order 887040m24[1031]
m24[1249]{4,10,3}Order 1320Order 190080m24[1222]
m24[1250]{4,10,3}Order 1320Order 1320m24[1233]
m24[1251]{4,10,4}Order 1320Order 7680m24[1053]
m24[1252]{4,10,5}Order 480Order 887040m24[960]
m24[1253]{4,6,5}Solvable, Order 96Order 887040m24[957]
m24[1254]{4,12,4}Order 480Simple, Order 6072m24[1245]
m24[1255]{4,4,10}Solvable, Order 64Order 887040m24[1034]
m24[1256]{4,12,3}Order 480Simple, Order 6072m24[1232]

Polytopes of rank 3

indexTypeDual
m24[1]{6,10}m24[251]
m24[2]{6,12}m24[279]
m24[3]{6,12}m24[309]
m24[4]{6,6}m24[346]
m24[5]{6,12}m24[280]
m24[6]{6,8}m24[323]
m24[7]{6,12}m24[283]
m24[8]{6,12}m24[293]
m24[9]{6,8}m24[329]
m24[10]{6,12}m24[294]
m24[11]{12,8}m24[121]
m24[12]{12,10}m24[173]
m24[13]{12,12}m24[16]
m24[14]{12,12}m24[20]
m24[15]{12,12}m24[19]
m24[16]{12,12}m24[13]
m24[17]{12,12}m24[21]
m24[18]{12,6}m24[223]
m24[19]{12,12}m24[15]
m24[20]{12,12}m24[14]
m24[21]{12,12}m24[17]
m24[22]{12,6}m24[225]
m24[23]{12,12}m24[750]
m24[24]{12,10}m24[909]
m24[25]{12,12}m24[61]
m24[26]{12,11}m24[471]
m24[27]{12,12}m24[53]
m24[28]{12,12}m24[759]
m24[29]{12,4}m24[734]
m24[30]{12,11}m24[493]
m24[31]{12,12}m24[70]
m24[32]{12,10}m24[185]
m24[33]{12,8}m24[127]
m24[34]{12,8}m24[124]
m24[35]{12,10}m24[882]
m24[36]{12,12}m24[642]
m24[37]{12,12}m24[644]
m24[38]{12,12}m24[758]
m24[39]{12,12}m24[633]
m24[40]{12,5}m24[372]
m24[41]{12,11}m24[541]
m24[42]{12,12}m24[55]
m24[43]{12,6}m24[853]
m24[44]{12,11}m24[377]
m24[45]{12,6}m24[608]
m24[46]{12,12}m24[643]
m24[47]{12,11}m24[543]
m24[48]{12,10}m24[214]
m24[49]{12,6}m24[229]
m24[50]{12,12}m24[745]
m24[51]{12,11}m24[501]
m24[52]{12,6}m24[604]
m24[53]{12,12}m24[27]
m24[54]{12,12}m24[746]
m24[55]{12,12}m24[42]
m24[56]{12,11}m24[418]
m24[57]{12,4}m24[728]
m24[58]{12,11}m24[456]
m24[59]{12,12}m24[768]
m24[60]{12,12}m24[787]
m24[61]{12,12}m24[25]
m24[62]{12,6}m24[583]
m24[63]{12,11}m24[554]
m24[64]{12,12}m24[802]
m24[65]{12,12}m24[823]
m24[66]{12,10}m24[913]
m24[67]{12,6}m24[851]
m24[68]{12,11}m24[523]
m24[69]{12,8}m24[123]
m24[70]{12,12}m24[31]
m24[71]{12,8}m24[117]
m24[72]{12,10}m24[201]
m24[73]{12,6}m24[238]
m24[74]{12,10}m24[178]
m24[75]{12,12}m24[635]
m24[76]{12,11}m24[419]
m24[77]{12,11}m24[467]
m24[78]{12,10}m24[881]
m24[79]{12,6}m24[606]
m24[80]{12,11}m24[409]
m24[81]{12,6}m24[850]
m24[82]{12,11}m24[430]
m24[83]{12,12}m24[83]
m24[84]{12,12}m24[754]
m24[85]{12,12}m24[641]
m24[86]{12,8}m24[160]
m24[87]{12,10}m24[900]
m24[88]{12,12}m24[639]
m24[89]{12,8}m24[141]
m24[90]{12,11}m24[539]
m24[91]{12,12}m24[840]
m24[92]{12,10}m24[911]
m24[93]{12,4}m24[940]
m24[94]{12,12}m24[100]
m24[95]{12,11}m24[435]
m24[96]{12,11}m24[486]
m24[97]{12,12}m24[636]
m24[98]{12,10}m24[211]
m24[99]{12,11}m24[385]
m24[100]{12,12}m24[94]
m24[101]{12,12}m24[748]
m24[102]{12,10}m24[910]
m24[103]{12,10}m24[179]
m24[104]{12,6}m24[224]
m24[105]{12,6}m24[231]
m24[106]{12,10}m24[908]
m24[107]{12,12}m24[757]
m24[108]{12,12}m24[637]
m24[109]{12,12}m24[820]
m24[110]{12,11}m24[495]
m24[111]{12,10}m24[912]
m24[112]{12,12}m24[806]
m24[113]{12,11}m24[459]
m24[114]{12,12}m24[752]
m24[115]{12,12}m24[629]
m24[116]{12,10}m24[193]
m24[117]{8,12}m24[71]
m24[118]{8,10}m24[177]
m24[119]{8,10}m24[175]
m24[120]{8,6}m24[227]
m24[121]{8,12}m24[11]
m24[122]{8,10}m24[174]
m24[123]{8,12}m24[69]
m24[124]{8,12}m24[34]
m24[125]{8,12}m24[631]
m24[126]{8,6}m24[607]
m24[127]{8,12}m24[33]
m24[128]{8,11}m24[448]
m24[129]{8,12}m24[638]
m24[130]{8,6}m24[854]
m24[131]{8,10}m24[196]
m24[132]{8,11}m24[494]
m24[133]{8,10}m24[879]
m24[134]{8,12}m24[645]
m24[135]{8,12}m24[744]
m24[136]{8,11}m24[420]
m24[137]{8,10}m24[880]
m24[138]{8,12}m24[640]
m24[139]{8,11}m24[548]
m24[140]{8,12}m24[630]
m24[141]{8,12}m24[89]
m24[142]{8,11}m24[422]
m24[143]{8,12}m24[797]
m24[144]{8,6}m24[587]
m24[145]{8,12}m24[646]
m24[146]{8,12}m24[634]
m24[147]{8,11}m24[393]
m24[148]{8,8}m24[148]
m24[149]{8,11}m24[540]
m24[150]{8,6}m24[852]
m24[151]{8,12}m24[789]
m24[152]{8,11}m24[415]
m24[153]{8,10}m24[181]
m24[154]{8,11}m24[529]
m24[155]{8,10}m24[906]
m24[156]{8,12}m24[755]
m24[157]{8,6}m24[605]
m24[158]{8,12}m24[632]
m24[159]{8,11}m24[442]
m24[160]{8,12}m24[86]
m24[161]{8,4}m24[941]
m24[162]{8,6}m24[849]
m24[163]{6,12}m24[740]
m24[164]{6,6}m24[873]
m24[165]{6,11}m24[468]
m24[166]{6,12}m24[742]
m24[167]{6,11}m24[515]
m24[168]{6,11}m24[508]
m24[169]{6,11}m24[401]
m24[170]{6,12}m24[665]
m24[171]{6,12}m24[664]
m24[172]{6,10}m24[877]
m24[173]{10,12}m24[12]
m24[174]{10,8}m24[122]
m24[175]{10,8}m24[119]
m24[176]{10,6}m24[228]
m24[177]{10,8}m24[118]
m24[178]{10,12}m24[74]
m24[179]{10,12}m24[103]
m24[180]{10,6}m24[226]
m24[181]{10,8}m24[153]
m24[182]{10,12}m24[650]
m24[183]{10,10}m24[878]
m24[184]{10,4}m24[727]
m24[185]{10,12}m24[32]
m24[186]{10,12}m24[706]
m24[187]{10,10}m24[205]
m24[188]{10,11}m24[423]
m24[189]{10,12}m24[724]
m24[190]{10,10}m24[190]
m24[191]{10,12}m24[682]
m24[192]{10,11}m24[449]
m24[193]{10,12}m24[116]
m24[194]{10,12}m24[743]
m24[195]{10,11}m24[384]
m24[196]{10,8}m24[131]
m24[197]{10,10}m24[876]
m24[198]{10,12}m24[672]
m24[199]{10,12}m24[647]
m24[200]{10,6}m24[588]
m24[201]{10,12}m24[72]
m24[202]{10,11}m24[438]
m24[203]{10,12}m24[741]
m24[204]{10,6}m24[866]
m24[205]{10,10}m24[187]
m24[206]{10,11}m24[538]
m24[207]{10,11}m24[453]
m24[208]{10,11}m24[417]
m24[209]{10,11}m24[556]
m24[210]{10,12}m24[686]
m24[211]{10,12}m24[98]
m24[212]{10,11}m24[551]
m24[213]{10,11}m24[396]
m24[214]{10,12}m24[48]
m24[215]{10,12}m24[739]
m24[216]{10,6}m24[856]
m24[217]{4,12}m24[668]
m24[218]{4,11}m24[402]
m24[219]{4,12}m24[749]
m24[220]{4,10}m24[924]
m24[221]{4,11}m24[390]
m24[222]{4,11}m24[477]
m24[223]{6,12}m24[18]
m24[224]{6,12}m24[104]
m24[225]{6,12}m24[22]
m24[226]{6,10}m24[180]
m24[227]{6,8}m24[120]
m24[228]{6,10}m24[176]
m24[229]{6,12}m24[49]
m24[230]{6,12}m24[751]
m24[231]{6,12}m24[105]
m24[232]{6,11}m24[507]
m24[233]{6,10}m24[914]
m24[234]{6,12}m24[756]
m24[235]{6,11}m24[432]
m24[236]{6,10}m24[933]
m24[237]{6,12}m24[753]
m24[238]{6,12}m24[73]
m24[239]{6,11}m24[546]
m24[240]{6,12}m24[747]
m24[241]{6,6}m24[351]
m24[242]{6,12}m24[289]
m24[243]{6,12}m24[305]
m24[244]{6,10}m24[247]
m24[245]{6,8}m24[334]
m24[246]{6,12}m24[299]
m24[247]{10,6}m24[244]
m24[248]{10,12}m24[273]
m24[249]{10,12}m24[317]
m24[250]{10,10}m24[250]
m24[251]{10,6}m24[1]
m24[252]{10,12}m24[271]
m24[253]{10,8}m24[339]
m24[254]{10,12}m24[313]
m24[255]{10,12}m24[298]
m24[256]{10,8}m24[341]
m24[257]{10,12}m24[297]
m24[258]{10,10}m24[264]
m24[259]{10,8}m24[326]
m24[260]{10,8}m24[322]
m24[261]{10,4}m24[344]
m24[262]{10,12}m24[315]
m24[263]{10,12}m24[272]
m24[264]{10,10}m24[258]
m24[265]{10,12}m24[312]
m24[266]{10,12}m24[268]
m24[267]{12,8}m24[335]
m24[268]{12,10}m24[266]
m24[269]{12,8}m24[324]
m24[270]{12,12}m24[304]
m24[271]{12,10}m24[252]
m24[272]{12,10}m24[263]
m24[273]{12,10}m24[248]
m24[274]{12,8}m24[320]
m24[275]{12,8}m24[337]
m24[276]{12,12}m24[318]
m24[277]{12,12}m24[303]
m24[278]{12,8}m24[325]
m24[279]{12,6}m24[2]
m24[280]{12,6}m24[5]
m24[281]{12,12}m24[292]
m24[282]{12,8}m24[327]
m24[283]{12,6}m24[7]
m24[284]{12,12}m24[284]
m24[285]{12,12}m24[285]
m24[286]{12,8}m24[333]
m24[287]{12,6}m24[347]
m24[288]{12,8}m24[330]
m24[289]{12,6}m24[242]
m24[290]{12,8}m24[328]
m24[291]{12,12}m24[301]
m24[292]{12,12}m24[281]
m24[293]{12,6}m24[8]
m24[294]{12,6}m24[10]
m24[295]{12,4}m24[343]
m24[296]{12,6}m24[348]
m24[297]{12,10}m24[257]
m24[298]{12,10}m24[255]
m24[299]{12,6}m24[246]
m24[300]{12,12}m24[316]
m24[301]{12,12}m24[291]
m24[302]{12,8}m24[319]
m24[303]{12,12}m24[277]
m24[304]{12,12}m24[270]
m24[305]{12,6}m24[243]
m24[306]{12,12}m24[308]
m24[307]{12,12}m24[307]
m24[308]{12,12}m24[306]
m24[309]{12,6}m24[3]
m24[310]{12,8}m24[340]
m24[311]{12,6}m24[349]
m24[312]{12,10}m24[265]
m24[313]{12,10}m24[254]
m24[314]{12,6}m24[353]
m24[315]{12,10}m24[262]
m24[316]{12,12}m24[300]
m24[317]{12,10}m24[249]
m24[318]{12,12}m24[276]
m24[319]{8,12}m24[302]
m24[320]{8,12}m24[274]
m24[321]{8,8}m24[336]
m24[322]{8,10}m24[260]
m24[323]{8,6}m24[6]
m24[324]{8,12}m24[269]
m24[325]{8,12}m24[278]
m24[326]{8,10}m24[259]
m24[327]{8,12}m24[282]
m24[328]{8,12}m24[290]
m24[329]{8,6}m24[9]
m24[330]{8,12}m24[288]
m24[331]{8,6}m24[350]
m24[332]{8,4}m24[345]
m24[333]{8,12}m24[286]
m24[334]{8,6}m24[245]
m24[335]{8,12}m24[267]
m24[336]{8,8}m24[321]
m24[337]{8,12}m24[275]
m24[338]{8,6}m24[352]
m24[339]{8,10}m24[253]
m24[340]{8,12}m24[310]
m24[341]{8,10}m24[256]
m24[342]{8,8}m24[342]
m24[343]{4,12}m24[295]
m24[344]{4,10}m24[261]
m24[345]{4,8}m24[332]
m24[346]{6,6}m24[4]
m24[347]{6,12}m24[287]
m24[348]{6,12}m24[296]
m24[349]{6,12}m24[311]
m24[350]{6,8}m24[331]
m24[351]{6,6}m24[241]
m24[352]{6,8}m24[338]
m24[353]{6,12}m24[314]
m24[354]{4,11}m24[573]
m24[355]{4,12}m24[663]
m24[356]{4,11}m24[561]
m24[357]{5,11}m24[444]
m24[358]{5,10}m24[937]
m24[359]{5,11}m24[441]
m24[360]{5,6}m24[859]
m24[361]{5,11}m24[570]
m24[362]{5,11}m24[575]
m24[363]{5,6}m24[617]
m24[364]{5,12}m24[678]
m24[365]{5,12}m24[662]
m24[366]{5,12}m24[693]
m24[367]{5,12}m24[799]
m24[368]{5,12}m24[781]
m24[369]{5,10}m24[921]
m24[370]{5,12}m24[828]
m24[371]{5,12}m24[800]
m24[372]{5,12}m24[40]
m24[373]{5,11}m24[399]
m24[374]{5,12}m24[771]
m24[375]{5,12}m24[782]
m24[376]{5,11}m24[447]
m24[377]{11,12}m24[44]
m24[378]{11,12}m24[791]
m24[379]{11,10}m24[897]
m24[380]{11,12}m24[653]
m24[381]{11,10}m24[919]
m24[382]{11,12}m24[763]
m24[383]{11,6}m24[624]
m24[384]{11,10}m24[195]
m24[385]{11,12}m24[99]
m24[386]{11,10}m24[915]
m24[387]{11,6}m24[864]
m24[388]{11,12}m24[847]
m24[389]{11,6}m24[592]
m24[390]{11,4}m24[221]
m24[391]{11,12}m24[773]
m24[392]{11,6}m24[871]
m24[393]{11,8}m24[147]
m24[394]{11,6}m24[621]
m24[395]{11,11}m24[395]
m24[396]{11,10}m24[213]
m24[397]{11,12}m24[659]
m24[398]{11,6}m24[865]
m24[399]{11,5}m24[373]
m24[400]{11,11}m24[492]
m24[401]{11,6}m24[169]
m24[402]{11,4}m24[218]
m24[403]{11,11}m24[408]
m24[404]{11,6}m24[591]
m24[405]{11,4}m24[601]
m24[406]{11,11}m24[406]
m24[407]{11,6}m24[582]
m24[408]{11,11}m24[403]
m24[409]{11,12}m24[80]
m24[410]{11,12}m24[660]
m24[411]{11,4}m24[732]
m24[412]{11,6}m24[874]
m24[413]{11,10}m24[887]
m24[414]{11,12}m24[710]
m24[415]{11,8}m24[152]
m24[416]{11,12}m24[775]
m24[417]{11,10}m24[208]
m24[418]{11,12}m24[56]
m24[419]{11,12}m24[76]
m24[420]{11,8}m24[136]
m24[421]{11,11}m24[553]
m24[422]{11,8}m24[142]
m24[423]{11,10}m24[188]
m24[424]{11,12}m24[654]
m24[425]{11,6}m24[857]
m24[426]{11,12}m24[778]
m24[427]{11,6}m24[625]
m24[428]{11,12}m24[822]
m24[429]{11,11}m24[443]
m24[430]{11,12}m24[82]
m24[431]{11,11}m24[431]
m24[432]{11,6}m24[235]
m24[433]{11,12}m24[683]
m24[434]{11,12}m24[725]
m24[435]{11,12}m24[95]
m24[436]{11,10}m24[885]
m24[437]{11,12}m24[808]
m24[438]{11,10}m24[202]
m24[439]{11,6}m24[619]
m24[440]{11,10}m24[920]
m24[441]{11,5}m24[359]
m24[442]{11,8}m24[159]
m24[443]{11,11}m24[429]
m24[444]{11,5}m24[357]
m24[445]{11,6}m24[860]
m24[446]{11,10}m24[925]
m24[447]{11,5}m24[376]
m24[448]{11,8}m24[128]
m24[449]{11,10}m24[192]
m24[450]{11,6}m24[586]
m24[451]{11,12}m24[718]
m24[452]{11,12}m24[689]
m24[453]{11,10}m24[207]
m24[454]{11,10}m24[888]
m24[455]{11,4}m24[733]
m24[456]{11,12}m24[58]
m24[457]{11,6}m24[858]
m24[458]{11,12}m24[774]
m24[459]{11,12}m24[113]
m24[460]{11,12}m24[783]
m24[461]{11,11}m24[524]
m24[462]{11,11}m24[470]
m24[463]{11,12}m24[704]
m24[464]{11,12}m24[838]
m24[465]{11,11}m24[465]
m24[466]{11,12}m24[842]
m24[467]{11,12}m24[77]
m24[468]{11,6}m24[165]
m24[469]{11,4}m24[735]
m24[470]{11,11}m24[462]
m24[471]{11,12}m24[26]
m24[472]{11,12}m24[769]
m24[473]{11,10}m24[938]
m24[474]{11,6}m24[872]
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