Polytopes for The First Janko Group J1

The First Janko Group J1 has :


Polytopes of rank 4

indexTypeFacet GroupVF GroupDual
j1[297]{5,6,5}Simple, Order 660Order 120j1[300]
j1[298]{5,3,5}Simple, Order 60Order 120j1[299]
j1[299]{5,3,5}Order 120Simple, Order 60j1[298]
j1[300]{5,6,5}Order 120Simple, Order 660j1[297]

Polytopes of rank 3

indexTypeDual
j1[1]{5,7}j1[155]
j1[2]{5,10}j1[294]
j1[3]{5,19}j1[81]
j1[4]{5,15}j1[30]
j1[5]{5,10}j1[293]
j1[6]{5,15}j1[217]
j1[7]{5,15}j1[40]
j1[8]{5,19}j1[171]
j1[9]{6,15}j1[228]
j1[10]{6,19}j1[135]
j1[11]{6,19}j1[194]
j1[12]{6,19}j1[101]
j1[13]{6,11}j1[51]
j1[14]{6,19}j1[176]
j1[15]{15,3}j1[264]
j1[16]{15,15}j1[220]
j1[17]{15,5}j1[44]
j1[18]{15,7}j1[161]
j1[19]{15,19}j1[119]
j1[20]{15,10}j1[288]
j1[21]{15,6}j1[241]
j1[22]{15,19}j1[92]
j1[23]{15,11}j1[69]
j1[24]{15,19}j1[189]
j1[25]{15,15}j1[233]
j1[26]{15,7}j1[143]
j1[27]{15,3}j1[265]
j1[28]{15,19}j1[188]
j1[29]{15,10}j1[282]
j1[30]{15,5}j1[4]
j1[31]{15,10}j1[207]
j1[32]{15,19}j1[85]
j1[33]{15,6}j1[243]
j1[34]{15,11}j1[52]
j1[35]{15,19}j1[125]
j1[36]{15,19}j1[190]
j1[37]{15,19}j1[109]
j1[38]{15,7}j1[147]
j1[39]{15,7}j1[164]
j1[40]{15,5}j1[7]
j1[41]{15,11}j1[54]
j1[42]{15,19}j1[121]
j1[43]{5,10}j1[291]
j1[44]{5,15}j1[17]
j1[45]{5,19}j1[184]
j1[46]{5,19}j1[113]
j1[47]{5,19}j1[116]
j1[48]{5,19}j1[114]
j1[49]{5,7}j1[141]
j1[50]{5,5}j1[283]
j1[51]{11,6}j1[13]
j1[52]{11,15}j1[34]
j1[53]{11,19}j1[139]
j1[54]{11,15}j1[41]
j1[55]{11,19}j1[183]
j1[56]{11,6}j1[248]
j1[57]{11,7}j1[159]
j1[58]{11,10}j1[275]
j1[59]{11,10}j1[201]
j1[60]{11,19}j1[115]
j1[61]{11,10}j1[255]
j1[62]{11,19}j1[127]
j1[63]{11,7}j1[165]
j1[64]{11,10}j1[252]
j1[65]{11,15}j1[231]
j1[66]{11,19}j1[83]
j1[67]{11,11}j1[72]
j1[68]{11,10}j1[206]
j1[69]{11,15}j1[23]
j1[70]{11,19}j1[112]
j1[71]{11,19}j1[180]
j1[72]{11,11}j1[67]
j1[73]{11,15}j1[229]
j1[74]{11,19}j1[186]
j1[75]{11,3}j1[268]
j1[76]{11,6}j1[244]
j1[77]{11,10}j1[203]
j1[78]{11,19}j1[133]
j1[79]{11,15}j1[214]
j1[80]{11,7}j1[142]
j1[81]{19,5}j1[3]
j1[82]{19,19}j1[98]
j1[83]{19,11}j1[66]
j1[84]{19,15}j1[237]
j1[85]{19,15}j1[32]
j1[86]{19,15}j1[227]
j1[87]{19,7}j1[146]
j1[88]{19,7}j1[162]
j1[89]{19,10}j1[281]
j1[90]{19,19}j1[198]
j1[91]{19,19}j1[179]
j1[92]{19,15}j1[22]
j1[93]{19,7}j1[166]
j1[94]{19,10}j1[292]
j1[95]{19,15}j1[226]
j1[96]{19,7}j1[163]
j1[97]{19,19}j1[99]
j1[98]{19,19}j1[82]
j1[99]{19,19}j1[97]
j1[100]{19,6}j1[249]
j1[101]{19,6}j1[12]
j1[102]{19,10}j1[204]
j1[103]{19,15}j1[235]
j1[104]{19,7}j1[169]
j1[105]{19,15}j1[234]
j1[106]{19,5}j1[295]
j1[107]{19,10}j1[254]
j1[108]{19,10}j1[277]
j1[109]{19,15}j1[37]
j1[110]{19,10}j1[272]
j1[111]{19,3}j1[270]
j1[112]{19,11}j1[70]
j1[113]{19,5}j1[46]
j1[114]{19,5}j1[48]
j1[115]{19,11}j1[60]
j1[116]{19,5}j1[47]
j1[117]{19,6}j1[245]
j1[118]{19,15}j1[224]
j1[119]{19,15}j1[19]
j1[120]{19,19}j1[172]
j1[121]{19,15}j1[42]
j1[122]{19,19}j1[174]
j1[123]{19,19}j1[137]
j1[124]{19,19}j1[140]
j1[125]{19,15}j1[35]
j1[126]{19,10}j1[202]
j1[127]{19,11}j1[62]
j1[128]{19,7}j1[152]
j1[129]{19,19}j1[193]
j1[130]{19,19}j1[199]
j1[131]{19,10}j1[273]
j1[132]{19,5}j1[284]
j1[133]{19,11}j1[78]
j1[134]{19,10}j1[257]
j1[135]{19,6}j1[10]
j1[136]{19,3}j1[262]
j1[137]{19,19}j1[123]
j1[138]{19,10}j1[280]
j1[139]{19,11}j1[53]
j1[140]{19,19}j1[124]
j1[141]{7,5}j1[49]
j1[142]{7,11}j1[80]
j1[143]{7,15}j1[26]
j1[144]{7,15}j1[222]
j1[145]{7,10}j1[289]
j1[146]{7,19}j1[87]
j1[147]{7,15}j1[38]
j1[148]{7,10}j1[211]
j1[149]{7,15}j1[238]
j1[150]{7,6}j1[247]
j1[151]{7,19}j1[200]
j1[152]{7,19}j1[128]
j1[153]{7,19}j1[196]
j1[154]{7,3}j1[266]
j1[155]{7,5}j1[1]
j1[156]{7,15}j1[218]
j1[157]{7,15}j1[216]
j1[158]{7,7}j1[167]
j1[159]{7,11}j1[57]
j1[160]{7,19}j1[191]
j1[161]{7,15}j1[18]
j1[162]{7,19}j1[88]
j1[163]{7,19}j1[96]
j1[164]{7,15}j1[39]
j1[165]{7,11}j1[63]
j1[166]{7,19}j1[93]
j1[167]{7,7}j1[158]
j1[168]{7,10}j1[205]
j1[169]{7,19}j1[104]
j1[170]{7,10}j1[259]
j1[171]{19,5}j1[8]
j1[172]{19,19}j1[120]
j1[173]{19,19}j1[182]
j1[174]{19,19}j1[122]
j1[175]{19,10}j1[290]
j1[176]{19,6}j1[14]
j1[177]{19,10}j1[274]
j1[178]{19,10}j1[260]
j1[179]{19,19}j1[91]
j1[180]{19,11}j1[71]
j1[181]{19,3}j1[269]
j1[182]{19,19}j1[173]
j1[183]{19,11}j1[55]
j1[184]{19,5}j1[45]
j1[185]{19,3}j1[261]
j1[186]{19,11}j1[74]
j1[187]{19,15}j1[213]
j1[188]{19,15}j1[28]
j1[189]{19,15}j1[24]
j1[190]{19,15}j1[36]
j1[191]{19,7}j1[160]
j1[192]{19,10}j1[253]
j1[193]{19,19}j1[129]
j1[194]{19,6}j1[11]
j1[195]{19,15}j1[225]
j1[196]{19,7}j1[153]
j1[197]{19,15}j1[230]
j1[198]{19,19}j1[90]
j1[199]{19,19}j1[130]
j1[200]{19,7}j1[151]
j1[201]{10,11}j1[59]
j1[202]{10,19}j1[126]
j1[203]{10,11}j1[77]
j1[204]{10,19}j1[102]
j1[205]{10,7}j1[168]
j1[206]{10,11}j1[68]
j1[207]{10,15}j1[31]
j1[208]{10,6}j1[250]
j1[209]{10,15}j1[219]
j1[210]{10,10}j1[251]
j1[211]{10,7}j1[148]
j1[212]{10,15}j1[223]
j1[213]{15,19}j1[187]
j1[214]{15,11}j1[79]
j1[215]{15,10}j1[256]
j1[216]{15,7}j1[157]
j1[217]{15,5}j1[6]
j1[218]{15,7}j1[156]
j1[219]{15,10}j1[209]
j1[220]{15,15}j1[16]
j1[221]{15,10}j1[286]
j1[222]{15,7}j1[144]
j1[223]{15,10}j1[212]
j1[224]{15,19}j1[118]
j1[225]{15,19}j1[195]
j1[226]{15,19}j1[95]
j1[227]{15,19}j1[86]
j1[228]{15,6}j1[9]
j1[229]{15,11}j1[73]
j1[230]{15,19}j1[197]
j1[231]{15,11}j1[65]
j1[232]{15,15}j1[240]
j1[233]{15,15}j1[25]
j1[234]{15,19}j1[105]
j1[235]{15,19}j1[103]
j1[236]{15,10}j1[258]
j1[237]{15,19}j1[84]
j1[238]{15,7}j1[149]
j1[239]{15,6}j1[246]
j1[240]{15,15}j1[232]
j1[241]{6,15}j1[21]
j1[242]{6,10}j1[287]
j1[243]{6,15}j1[33]
j1[244]{6,11}j1[76]
j1[245]{6,19}j1[117]
j1[246]{6,15}j1[239]
j1[247]{6,7}j1[150]
j1[248]{6,11}j1[56]
j1[249]{6,19}j1[100]
j1[250]{6,10}j1[208]
j1[251]{10,10}j1[210]
j1[252]{10,11}j1[64]
j1[253]{10,19}j1[192]
j1[254]{10,19}j1[107]
j1[255]{10,11}j1[61]
j1[256]{10,15}j1[215]
j1[257]{10,19}j1[134]
j1[258]{10,15}j1[236]
j1[259]{10,7}j1[170]
j1[260]{10,19}j1[178]
j1[261]{3,19}j1[185]
j1[262]{3,19}j1[136]
j1[263]{3,10}j1[285]
j1[264]{3,15}j1[15]
j1[265]{3,15}j1[27]
j1[266]{3,7}j1[154]
j1[267]{3,10}j1[271]
j1[268]{3,11}j1[75]
j1[269]{3,19}j1[181]
j1[270]{3,19}j1[111]
j1[271]{10,3}j1[267]
j1[272]{10,19}j1[110]
j1[273]{10,19}j1[131]
j1[274]{10,19}j1[177]
j1[275]{10,11}j1[58]
j1[276]{10,10}j1[279]
j1[277]{10,19}j1[108]
j1[278]{10,5}j1[296]
j1[279]{10,10}j1[276]
j1[280]{10,19}j1[138]
j1[281]{10,19}j1[89]
j1[282]{10,15}j1[29]
j1[283]{5,5}j1[50]
j1[284]{5,19}j1[132]
j1[285]{10,3}j1[263]
j1[286]{10,15}j1[221]
j1[287]{10,6}j1[242]
j1[288]{10,15}j1[20]
j1[289]{10,7}j1[145]
j1[290]{10,19}j1[175]
j1[291]{10,5}j1[43]
j1[292]{10,19}j1[94]
j1[293]{10,5}j1[5]
j1[294]{10,5}j1[2]
j1[295]{5,19}j1[106]
j1[296]{5,10}j1[278]

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