Polytopes for The Tits Group 2F4(2)'

The Tits Group 2F4(2)' has :


Polytopes of rank 4

indexTypeFacet GroupVF GroupDual
ti[469]{3,13,4}Order 11232Simple, Order 7800ti[480]
ti[470]{3,8,3}Order 11232Solvable, Order 384ti[474]
ti[471]{3,13,4}Simple, Order 7800Simple, Order 7800ti[478]
ti[472]{3,13,4}Simple, Order 7800Order 11232ti[476]
ti[473]{3,3,8}Solvable, Order 24Order 11232ti[486]
ti[474]{3,8,3}Solvable, Order 384Order 11232ti[470]
ti[475]{4,13,4}Order 11232Simple, Order 7800ti[477]
ti[476]{4,13,3}Order 11232Simple, Order 7800ti[472]
ti[477]{4,13,4}Simple, Order 7800Order 11232ti[475]
ti[478]{4,13,3}Simple, Order 7800Simple, Order 7800ti[471]
ti[479]{4,8,4}Order 11232Order 11232ti[481]
ti[480]{4,13,3}Simple, Order 7800Order 11232ti[469]
ti[481]{4,8,4}Order 11232Order 11232ti[479]
ti[482]{8,8,8}Order 11232Order 11232ti[483]
ti[483]{8,8,8}Order 11232Order 11232ti[482]
ti[484]{8,6,8}Order 11232Order 11232ti[484]
ti[485]{8,4,8}Order 11232Order 1440ti[493]
ti[486]{8,3,3}Order 11232Solvable, Order 24ti[473]
ti[487]{8,4,8}Order 1440Order 1440ti[491]
ti[488]{8,5,4}Order 720Order 720ti[503]
ti[489]{8,4,4}Order 720Solvable, Order 200ti[499]
ti[490]{8,4,5}Order 1440Solvable, Order 320ti[524]
ti[491]{8,4,8}Order 1440Order 1440ti[487]
ti[492]{8,8,5}Order 720Solvable, Order 5120ti[525]
ti[493]{8,4,8}Order 1440Order 11232ti[485]
ti[494]{4,6,4}Order 1440Order 1440ti[494]
ti[495]{4,8,4}Order 1440Order 720ti[497]
ti[496]{4,8,5}Order 1440Order 720ti[519]
ti[497]{4,8,4}Order 720Order 1440ti[495]
ti[498]{4,4,4}Solvable, Order 200Solvable, Order 200ti[498]
ti[499]{4,4,8}Solvable, Order 200Order 720ti[489]
ti[500]{4,4,5}Solvable, Order 200Solvable, Order 160ti[506]
ti[501]{4,4,5}Solvable, Order 200Order 720ti[522]
ti[502]{4,5,4}Order 720Order 720ti[502]
ti[503]{4,5,8}Order 720Order 720ti[488]
ti[504]{4,5,5}Order 720Solvable, Order 160ti[518]
ti[505]{4,5,5}Order 720Order 720ti[515]
ti[506]{5,4,4}Solvable, Order 160Solvable, Order 200ti[500]
ti[507]{5,4,5}Solvable, Order 320Order 720ti[523]
ti[508]{5,5,5}Solvable, Order 160Solvable, Order 5120ti[517]
ti[509]{5,5,5}Solvable, Order 160Order 720ti[513]
ti[510]{5,5,5}Solvable, Order 5120Solvable, Order 5120ti[510]
ti[511]{5,5,5}Solvable, Order 5120Order 720ti[514]
ti[512]{5,5,5}Order 720Solvable, Order 5120ti[516]
ti[513]{5,5,5}Order 720Solvable, Order 160ti[509]
ti[514]{5,5,5}Order 720Solvable, Order 5120ti[511]
ti[515]{5,5,4}Order 720Order 720ti[505]
ti[516]{5,5,5}Solvable, Order 5120Order 720ti[512]
ti[517]{5,5,5}Solvable, Order 5120Solvable, Order 160ti[508]
ti[518]{5,5,4}Solvable, Order 160Order 720ti[504]
ti[519]{5,8,4}Order 720Order 1440ti[496]
ti[520]{5,4,5}Order 720Order 720ti[521]
ti[521]{5,4,5}Order 720Order 720ti[520]
ti[522]{5,4,4}Order 720Solvable, Order 200ti[501]
ti[523]{5,4,5}Order 720Solvable, Order 320ti[507]
ti[524]{5,4,8}Solvable, Order 320Order 1440ti[490]
ti[525]{5,8,8}Solvable, Order 5120Order 720ti[492]

Polytopes of rank 3

indexTypeDual
ti[1]{13,8}ti[388]
ti[2]{13,12}ti[112]
ti[3]{13,13}ti[76]
ti[4]{13,13}ti[94]
ti[5]{13,12}ti[107]
ti[6]{13,10}ti[426]
ti[7]{13,8}ti[210]
ti[8]{13,13}ti[8]
ti[9]{13,13}ti[23]
ti[10]{13,6}ti[160]
ti[11]{13,12}ti[233]
ti[12]{13,6}ti[167]
ti[13]{13,8}ti[380]
ti[14]{13,8}ti[200]
ti[15]{13,4}ti[195]
ti[16]{13,6}ti[163]
ti[17]{13,4}ti[197]
ti[18]{13,6}ti[174]
ti[19]{13,12}ti[222]
ti[20]{13,12}ti[154]
ti[21]{13,10}ti[440]
ti[22]{13,6}ti[166]
ti[23]{13,13}ti[9]
ti[24]{13,12}ti[234]
ti[25]{13,13}ti[96]
ti[26]{13,5}ti[349]
ti[27]{13,12}ti[124]
ti[28]{13,6}ti[191]
ti[29]{13,12}ti[105]
ti[30]{13,8}ti[202]
ti[31]{13,12}ti[245]
ti[32]{13,8}ti[371]
ti[33]{13,12}ti[131]
ti[34]{13,5}ti[334]
ti[35]{13,13}ti[35]
ti[36]{13,12}ti[256]
ti[37]{13,13}ti[89]
ti[38]{13,6}ti[186]
ti[39]{13,8}ti[359]
ti[40]{13,10}ti[423]
ti[41]{13,12}ti[259]
ti[42]{13,8}ti[398]
ti[43]{13,10}ti[452]
ti[44]{13,8}ti[269]
ti[45]{13,6}ti[181]
ti[46]{13,12}ti[109]
ti[47]{13,6}ti[170]
ti[48]{13,6}ti[161]
ti[49]{13,13}ti[49]
ti[50]{13,10}ti[438]
ti[51]{13,5}ti[344]
ti[52]{13,12}ti[228]
ti[53]{13,5}ti[332]
ti[54]{13,13}ti[91]
ti[55]{13,4}ti[457]
ti[56]{13,8}ti[268]
ti[57]{13,8}ti[360]
ti[58]{13,10}ti[418]
ti[59]{13,12}ti[146]
ti[60]{13,4}ti[353]
ti[61]{13,10}ti[447]
ti[62]{13,10}ti[414]
ti[63]{13,12}ti[138]
ti[64]{13,8}ti[356]
ti[65]{13,13}ti[65]
ti[66]{13,10}ti[411]
ti[67]{13,8}ti[402]
ti[68]{13,4}ti[458]
ti[69]{13,13}ti[69]
ti[70]{13,12}ti[250]
ti[71]{13,12}ti[217]
ti[72]{13,12}ti[114]
ti[73]{13,12}ti[220]
ti[74]{13,8}ti[208]
ti[75]{13,8}ti[387]
ti[76]{13,13}ti[3]
ti[77]{13,13}ti[77]
ti[78]{13,8}ti[275]
ti[79]{13,8}ti[366]
ti[80]{13,3}ti[104]
ti[81]{13,10}ti[406]
ti[82]{13,4}ti[462]
ti[83]{13,10}ti[451]
ti[84]{13,10}ti[456]
ti[85]{13,8}ti[378]
ti[86]{13,5}ti[345]
ti[87]{13,8}ti[385]
ti[88]{13,13}ti[101]
ti[89]{13,13}ti[37]
ti[90]{13,5}ti[337]
ti[91]{13,13}ti[54]
ti[92]{13,8}ti[204]
ti[93]{13,6}ti[187]
ti[94]{13,13}ti[4]
ti[95]{13,6}ti[190]
ti[96]{13,13}ti[25]
ti[97]{13,8}ti[266]
ti[98]{13,5}ti[331]
ti[99]{13,12}ti[230]
ti[100]{13,12}ti[123]
ti[101]{13,13}ti[88]
ti[102]{13,8}ti[203]
ti[103]{3,10}ti[404]
ti[104]{3,13}ti[80]
ti[105]{12,13}ti[29]
ti[106]{12,8}ti[274]
ti[107]{12,13}ti[5]
ti[108]{12,10}ti[422]
ti[109]{12,13}ti[46]
ti[110]{12,8}ti[270]
ti[111]{12,12}ti[261]
ti[112]{12,13}ti[2]
ti[113]{12,12}ti[249]
ti[114]{12,13}ti[72]
ti[115]{12,8}ti[390]
ti[116]{12,8}ti[205]
ti[117]{12,6}ti[173]
ti[118]{12,5}ti[336]
ti[119]{12,6}ti[185]
ti[120]{12,5}ti[335]
ti[121]{12,12}ti[140]
ti[122]{12,12}ti[236]
ti[123]{12,13}ti[100]
ti[124]{12,13}ti[27]
ti[125]{12,12}ti[231]
ti[126]{12,10}ti[417]
ti[127]{12,5}ti[347]
ti[128]{12,6}ti[189]
ti[129]{12,12}ti[152]
ti[130]{12,12}ti[227]
ti[131]{12,13}ti[33]
ti[132]{12,5}ti[333]
ti[133]{12,12}ti[133]
ti[134]{12,8}ti[276]
ti[135]{12,12}ti[248]
ti[136]{12,10}ti[427]
ti[137]{12,10}ti[428]
ti[138]{12,13}ti[63]
ti[139]{12,10}ti[434]
ti[140]{12,12}ti[121]
ti[141]{12,5}ti[339]
ti[142]{12,8}ti[382]
ti[143]{12,12}ti[221]
ti[144]{12,8}ti[391]
ti[145]{12,10}ti[424]
ti[146]{12,13}ti[59]
ti[147]{12,4}ti[354]
ti[148]{12,12}ti[148]
ti[149]{12,8}ti[374]
ti[150]{12,8}ti[355]
ti[151]{12,4}ti[460]
ti[152]{12,12}ti[129]
ti[153]{12,5}ti[348]
ti[154]{12,13}ti[20]
ti[155]{12,4}ti[196]
ti[156]{6,8}ti[395]
ti[157]{6,5}ti[340]
ti[158]{6,12}ti[262]
ti[159]{6,5}ti[343]
ti[160]{6,13}ti[10]
ti[161]{6,13}ti[48]
ti[162]{6,10}ti[432]
ti[163]{6,13}ti[16]
ti[164]{6,12}ti[223]
ti[165]{6,12}ti[232]
ti[166]{6,13}ti[22]
ti[167]{6,13}ti[12]
ti[168]{6,10}ti[450]
ti[169]{6,12}ti[229]
ti[170]{6,13}ti[47]
ti[171]{6,8}ti[273]
ti[172]{6,8}ti[201]
ti[173]{6,12}ti[117]
ti[174]{6,13}ti[18]
ti[175]{6,12}ti[237]
ti[176]{6,8}ti[386]
ti[177]{6,8}ti[383]
ti[178]{6,12}ti[226]
ti[179]{6,10}ti[403]
ti[180]{6,10}ti[413]
ti[181]{6,13}ti[45]
ti[182]{6,10}ti[431]
ti[183]{6,10}ti[405]
ti[184]{6,8}ti[381]
ti[185]{6,12}ti[119]
ti[186]{6,13}ti[38]
ti[187]{6,13}ti[93]
ti[188]{6,12}ti[225]
ti[189]{6,12}ti[128]
ti[190]{6,13}ti[95]
ti[191]{6,13}ti[28]
ti[192]{4,10}ti[455]
ti[193]{4,12}ti[240]
ti[194]{4,8}ti[393]
ti[195]{4,13}ti[15]
ti[196]{4,12}ti[155]
ti[197]{4,13}ti[17]
ti[198]{8,8}ti[396]
ti[199]{8,12}ti[247]
ti[200]{8,13}ti[14]
ti[201]{8,6}ti[172]
ti[202]{8,13}ti[30]
ti[203]{8,13}ti[102]
ti[204]{8,13}ti[92]
ti[205]{8,12}ti[116]
ti[206]{8,5}ti[330]
ti[207]{8,12}ti[219]
ti[208]{8,13}ti[74]
ti[209]{8,10}ti[443]
ti[210]{8,13}ti[7]
ti[211]{8,12}ti[253]
ti[212]{8,10}ti[415]
ti[213]{8,8}ti[369]
ti[214]{12,8}ti[394]
ti[215]{12,12}ti[218]
ti[216]{12,12}ti[251]
ti[217]{12,13}ti[71]
ti[218]{12,12}ti[215]
ti[219]{12,8}ti[207]
ti[220]{12,13}ti[73]
ti[221]{12,12}ti[143]
ti[222]{12,13}ti[19]
ti[223]{12,6}ti[164]
ti[224]{12,8}ti[397]
ti[225]{12,6}ti[188]
ti[226]{12,6}ti[178]
ti[227]{12,12}ti[130]
ti[228]{12,13}ti[52]
ti[229]{12,6}ti[169]
ti[230]{12,13}ti[99]
ti[231]{12,12}ti[125]
ti[232]{12,6}ti[165]
ti[233]{12,13}ti[11]
ti[234]{12,13}ti[24]
ti[235]{12,5}ti[350]
ti[236]{12,12}ti[122]
ti[237]{12,6}ti[175]
ti[238]{12,4}ti[461]
ti[239]{12,10}ti[429]
ti[240]{12,4}ti[193]
ti[241]{12,10}ti[420]
ti[242]{12,12}ti[242]
ti[243]{12,12}ti[243]
ti[244]{12,12}ti[244]
ti[245]{12,13}ti[31]
ti[246]{12,8}ti[375]
ti[247]{12,8}ti[199]
ti[248]{12,12}ti[135]
ti[249]{12,12}ti[113]
ti[250]{12,13}ti[70]
ti[251]{12,12}ti[216]
ti[252]{12,8}ti[392]
ti[253]{12,8}ti[211]
ti[254]{12,10}ti[430]
ti[255]{12,10}ti[433]
ti[256]{12,13}ti[36]
ti[257]{12,10}ti[419]
ti[258]{12,8}ti[368]
ti[259]{12,13}ti[41]
ti[260]{12,10}ti[445]
ti[261]{12,12}ti[111]
ti[262]{12,6}ti[158]
ti[263]{12,8}ti[272]
ti[264]{12,5}ti[341]
ti[265]{8,8}ti[357]
ti[266]{8,13}ti[97]
ti[267]{8,5}ti[338]
ti[268]{8,13}ti[56]
ti[269]{8,13}ti[44]
ti[270]{8,12}ti[110]
ti[271]{8,10}ti[437]
ti[272]{8,12}ti[263]
ti[273]{8,6}ti[171]
ti[274]{8,12}ti[106]
ti[275]{8,13}ti[78]
ti[276]{8,12}ti[134]
ti[277]{8,10}ti[439]
ti[278]{8,8}ti[376]
ti[279]{8,10}ti[306]
ti[280]{8,10}ti[329]
ti[281]{8,8}ti[287]
ti[282]{8,10}ti[317]
ti[283]{8,4}ti[465]
ti[284]{8,10}ti[304]
ti[285]{8,8}ti[291]
ti[286]{8,10}ti[301]
ti[287]{8,8}ti[281]
ti[288]{8,10}ti[325]
ti[289]{8,10}ti[310]
ti[290]{8,8}ti[290]
ti[291]{8,8}ti[285]
ti[292]{8,10}ti[324]
ti[293]{8,4}ti[352]
ti[294]{8,10}ti[303]
ti[295]{8,8}ti[295]
ti[296]{8,8}ti[300]
ti[297]{8,5}ti[468]
ti[298]{8,10}ti[321]
ti[299]{8,10}ti[302]
ti[300]{8,8}ti[296]
ti[301]{10,8}ti[286]
ti[302]{10,8}ti[299]
ti[303]{10,8}ti[294]
ti[304]{10,8}ti[284]
ti[305]{10,10}ti[316]
ti[306]{10,8}ti[279]
ti[307]{10,10}ti[309]
ti[308]{10,10}ti[327]
ti[309]{10,10}ti[307]
ti[310]{10,8}ti[289]
ti[311]{10,10}ti[311]
ti[312]{10,10}ti[313]
ti[313]{10,10}ti[312]
ti[314]{10,10}ti[320]
ti[315]{10,10}ti[315]
ti[316]{10,10}ti[305]
ti[317]{10,8}ti[282]
ti[318]{10,10}ti[328]
ti[319]{10,5}ti[467]
ti[320]{10,10}ti[314]
ti[321]{10,8}ti[298]
ti[322]{10,10}ti[322]
ti[323]{10,4}ti[466]
ti[324]{10,8}ti[292]
ti[325]{10,8}ti[288]
ti[326]{10,4}ti[351]
ti[327]{10,10}ti[308]
ti[328]{10,10}ti[318]
ti[329]{10,8}ti[280]
ti[330]{5,8}ti[206]
ti[331]{5,13}ti[98]
ti[332]{5,13}ti[53]
ti[333]{5,12}ti[132]
ti[334]{5,13}ti[34]
ti[335]{5,12}ti[120]
ti[336]{5,12}ti[118]
ti[337]{5,13}ti[90]
ti[338]{5,8}ti[267]
ti[339]{5,12}ti[141]
ti[340]{5,6}ti[157]
ti[341]{5,12}ti[264]
ti[342]{5,8}ti[379]
ti[343]{5,6}ti[159]
ti[344]{5,13}ti[51]
ti[345]{5,13}ti[86]
ti[346]{5,10}ti[446]
ti[347]{5,12}ti[127]
ti[348]{5,12}ti[153]
ti[349]{5,13}ti[26]
ti[350]{5,12}ti[235]
ti[351]{4,10}ti[326]
ti[352]{4,8}ti[293]
ti[353]{4,13}ti[60]
ti[354]{4,12}ti[147]
ti[355]{8,12}ti[150]
ti[356]{8,13}ti[64]
ti[357]{8,8}ti[265]
ti[358]{8,8}ti[358]
ti[359]{8,13}ti[39]
ti[360]{8,13}ti[57]
ti[361]{8,10}ti[408]
ti[362]{8,8}ti[367]
ti[363]{8,8}ti[399]
ti[364]{8,10}ti[407]
ti[365]{8,10}ti[409]
ti[366]{8,13}ti[79]
ti[367]{8,8}ti[362]
ti[368]{8,12}ti[258]
ti[369]{8,8}ti[213]
ti[370]{8,10}ti[435]
ti[371]{8,13}ti[32]
ti[372]{8,10}ti[416]
ti[373]{8,4}ti[463]
ti[374]{8,12}ti[149]
ti[375]{8,12}ti[246]
ti[376]{8,8}ti[278]
ti[377]{8,10}ti[453]
ti[378]{8,13}ti[85]
ti[379]{8,5}ti[342]
ti[380]{8,13}ti[13]
ti[381]{8,6}ti[184]
ti[382]{8,12}ti[142]
ti[383]{8,6}ti[177]
ti[384]{8,8}ti[384]
ti[385]{8,13}ti[87]
ti[386]{8,6}ti[176]
ti[387]{8,13}ti[75]
ti[388]{8,13}ti[1]
ti[389]{8,10}ti[449]
ti[390]{8,12}ti[115]
ti[391]{8,12}ti[144]
ti[392]{8,12}ti[252]
ti[393]{8,4}ti[194]
ti[394]{8,12}ti[214]
ti[395]{8,6}ti[156]
ti[396]{8,8}ti[198]
ti[397]{8,12}ti[224]
ti[398]{8,13}ti[42]
ti[399]{8,8}ti[363]
ti[400]{8,10}ti[444]
ti[401]{8,10}ti[421]
ti[402]{8,13}ti[67]
ti[403]{10,6}ti[179]
ti[404]{10,3}ti[103]
ti[405]{10,6}ti[183]
ti[406]{10,13}ti[81]
ti[407]{10,8}ti[364]
ti[408]{10,8}ti[361]
ti[409]{10,8}ti[365]
ti[410]{10,10}ti[410]
ti[411]{10,13}ti[66]
ti[412]{10,10}ti[454]
ti[413]{10,6}ti[180]
ti[414]{10,13}ti[62]
ti[415]{10,8}ti[212]
ti[416]{10,8}ti[372]
ti[417]{10,12}ti[126]
ti[418]{10,13}ti[58]
ti[419]{10,12}ti[257]
ti[420]{10,12}ti[241]
ti[421]{10,8}ti[401]
ti[422]{10,12}ti[108]
ti[423]{10,13}ti[40]
ti[424]{10,12}ti[145]
ti[425]{10,10}ti[436]
ti[426]{10,13}ti[6]
ti[427]{10,12}ti[136]
ti[428]{10,12}ti[137]
ti[429]{10,12}ti[239]
ti[430]{10,12}ti[254]
ti[431]{10,6}ti[182]
ti[432]{10,6}ti[162]
ti[433]{10,12}ti[255]
ti[434]{10,12}ti[139]
ti[435]{10,8}ti[370]
ti[436]{10,10}ti[425]
ti[437]{10,8}ti[271]
ti[438]{10,13}ti[50]
ti[439]{10,8}ti[277]
ti[440]{10,13}ti[21]
ti[441]{10,10}ti[441]
ti[442]{10,4}ti[459]
ti[443]{10,8}ti[209]
ti[444]{10,8}ti[400]
ti[445]{10,12}ti[260]
ti[446]{10,5}ti[346]
ti[447]{10,13}ti[61]
ti[448]{10,4}ti[464]
ti[449]{10,8}ti[389]
ti[450]{10,6}ti[168]
ti[451]{10,13}ti[83]
ti[452]{10,13}ti[43]
ti[453]{10,8}ti[377]
ti[454]{10,10}ti[412]
ti[455]{10,4}ti[192]
ti[456]{10,13}ti[84]
ti[457]{4,13}ti[55]
ti[458]{4,13}ti[68]
ti[459]{4,10}ti[442]
ti[460]{4,12}ti[151]
ti[461]{4,12}ti[238]
ti[462]{4,13}ti[82]
ti[463]{4,8}ti[373]
ti[464]{4,10}ti[448]
ti[465]{4,8}ti[283]
ti[466]{4,10}ti[323]
ti[467]{5,10}ti[319]
ti[468]{5,8}ti[297]

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