Polytopes for The Second Janko Group J2


The Second Janko Group J2 has :

  • 261 rank 3 polytopes,
  • 31 rank 4 polytopes,
  • 0 rank 5 polytopes,
  • and no higher rank polytopes.

Polytopes of rank 4

indexTypeFacet GroupVF GroupDual
j2[262]{3,8,5}Order 2160Solvable, Order 320j2[289]
j2[263]{3,8,3}Order 2160Solvable, Order 96j2[287]
j2[264]{3,8,5}Order 2160Solvable, Order 320j2[291]
j2[265]{3,8,4}Order 336Order 2160j2[285]
j2[266]{10,5,5}Order 2160Order 600j2[281]
j2[267]{6,3,5}Solvable, Order 300Simple, Order 60j2[282]
j2[268]{5,8,4}Order 2160Order 336j2[284]
j2[269]{5,8,5}Order 2160Solvable, Order 320j2[290]
j2[270]{5,8,4}Order 2160Order 2160j2[286]
j2[271]{5,8,3}Order 2160Solvable, Order 96j2[288]
j2[272]{5,8,5}Order 2160Solvable, Order 320j2[292]
j2[273]{10,3,10}Solvable, Order 300Solvable, Order 300j2[273]
j2[274]{10,3,10}Solvable, Order 300Order 2160j2[275]
j2[275]{10,3,10}Order 2160Solvable, Order 300j2[274]
j2[276]{10,3,6}Order 2160Solvable, Order 300j2[277]
j2[277]{6,3,10}Solvable, Order 300Order 2160j2[276]
j2[278]{6,3,6}Solvable, Order 300Solvable, Order 300j2[278]
j2[279]{5,6,5}Order 600Order 600j2[279]
j2[280]{5,5,3}Order 600Simple, Order 60j2[283]
j2[281]{5,5,10}Order 600Order 2160j2[266]
j2[282]{5,3,6}Simple, Order 60Solvable, Order 300j2[267]
j2[283]{3,5,5}Simple, Order 60Order 600j2[280]
j2[284]{4,8,5}Order 336Order 2160j2[268]
j2[285]{4,8,3}Order 2160Order 336j2[265]
j2[286]{4,8,5}Order 2160Order 2160j2[270]
j2[287]{3,8,3}Solvable, Order 96Order 2160j2[263]
j2[288]{3,8,5}Solvable, Order 96Order 2160j2[271]
j2[289]{5,8,3}Solvable, Order 320Order 2160j2[262]
j2[290]{5,8,5}Solvable, Order 320Order 2160j2[269]
j2[291]{5,8,3}Solvable, Order 320Order 2160j2[264]
j2[292]{5,8,5}Solvable, Order 320Order 2160j2[272]

Polytopes of rank 3

indexTypeDual
j2[1]{10,6}j2[91]
j2[2]{10,10}j2[238]
j2[3]{10,6}j2[89]
j2[4]{10,7}j2[62]
j2[5]{10,7}j2[70]
j2[6]{10,5}j2[211]
j2[7]{10,15}j2[104]
j2[8]{10,12}j2[192]
j2[9]{10,10}j2[237]
j2[10]{10,12}j2[187]
j2[11]{10,10}j2[151]
j2[12]{10,10}j2[169]
j2[13]{10,6}j2[253]
j2[14]{10,10}j2[150]
j2[15]{10,10}j2[164]
j2[16]{10,15}j2[102]
j2[17]{10,7}j2[61]
j2[18]{10,15}j2[109]
j2[19]{8,5}j2[207]
j2[20]{8,10}j2[233]
j2[21]{8,6}j2[249]
j2[22]{8,10}j2[149]
j2[23]{8,6}j2[95]
j2[24]{8,15}j2[118]
j2[25]{8,10}j2[163]
j2[26]{8,7}j2[69]
j2[27]{8,7}j2[65]
j2[28]{8,5}j2[206]
j2[29]{8,10}j2[223]
j2[30]{8,10}j2[235]
j2[31]{8,15}j2[140]
j2[32]{8,15}j2[111]
j2[33]{8,10}j2[181]
j2[34]{8,15}j2[106]
j2[35]{6,5}j2[215]
j2[36]{6,12}j2[185]
j2[37]{6,7}j2[63]
j2[38]{6,10}j2[221]
j2[39]{6,10}j2[170]
j2[40]{6,15}j2[101]
j2[41]{6,15}j2[110]
j2[42]{6,12}j2[191]
j2[43]{6,10}j2[222]
j2[44]{6,5}j2[205]
j2[45]{6,15}j2[134]
j2[46]{10,8}j2[60]
j2[47]{10,10}j2[51]
j2[48]{10,6}j2[53]
j2[49]{10,10}j2[49]
j2[50]{10,8}j2[58]
j2[51]{10,10}j2[47]
j2[52]{6,8}j2[59]
j2[53]{6,10}j2[48]
j2[54]{6,6}j2[54]
j2[55]{8,8}j2[57]
j2[56]{8,8}j2[56]
j2[57]{8,8}j2[55]
j2[58]{8,10}j2[50]
j2[59]{8,6}j2[52]
j2[60]{8,10}j2[46]
j2[61]{7,10}j2[17]
j2[62]{7,10}j2[4]
j2[63]{7,6}j2[37]
j2[64]{7,12}j2[199]
j2[65]{7,8}j2[27]
j2[66]{7,7}j2[66]
j2[67]{7,10}j2[234]
j2[68]{7,10}j2[166]
j2[69]{7,8}j2[26]
j2[70]{7,10}j2[5]
j2[71]{7,15}j2[144]
j2[72]{7,10}j2[230]
j2[73]{7,12}j2[197]
j2[74]{7,5}j2[162]
j2[75]{7,7}j2[75]
j2[76]{7,6}j2[254]
j2[77]{7,10}j2[159]
j2[78]{7,10}j2[176]
j2[79]{7,15}j2[122]
j2[80]{7,15}j2[124]
j2[81]{7,15}j2[115]
j2[82]{7,5}j2[217]
j2[83]{7,4}j2[260]
j2[84]{7,10}j2[241]
j2[85]{7,5}j2[220]
j2[86]{7,6}j2[94]
j2[87]{7,15}j2[116]
j2[88]{7,15}j2[125]
j2[89]{6,10}j2[3]
j2[90]{6,6}j2[250]
j2[91]{6,10}j2[1]
j2[92]{6,5}j2[212]
j2[93]{6,10}j2[236]
j2[94]{6,7}j2[86]
j2[95]{6,8}j2[23]
j2[96]{6,15}j2[112]
j2[97]{6,10}j2[175]
j2[98]{6,10}j2[239]
j2[99]{6,15}j2[147]
j2[100]{6,12}j2[204]
j2[101]{15,6}j2[40]
j2[102]{15,10}j2[16]
j2[103]{15,4}j2[259]
j2[104]{15,10}j2[7]
j2[105]{15,10}j2[225]
j2[106]{15,8}j2[34]
j2[107]{15,5}j2[209]
j2[108]{15,10}j2[168]
j2[109]{15,10}j2[18]
j2[110]{15,6}j2[41]
j2[111]{15,8}j2[32]
j2[112]{15,6}j2[96]
j2[113]{15,15}j2[113]
j2[114]{15,10}j2[155]
j2[115]{15,7}j2[81]
j2[116]{15,7}j2[87]
j2[117]{15,4}j2[261]
j2[118]{15,8}j2[24]
j2[119]{15,15}j2[141]
j2[120]{15,10}j2[232]
j2[121]{15,15}j2[121]
j2[122]{15,7}j2[79]
j2[123]{15,10}j2[183]
j2[124]{15,7}j2[80]
j2[125]{15,7}j2[88]
j2[126]{15,6}j2[255]
j2[127]{15,15}j2[129]
j2[128]{15,5}j2[218]
j2[129]{15,15}j2[127]
j2[130]{15,12}j2[188]
j2[131]{15,15}j2[131]
j2[132]{15,15}j2[132]
j2[133]{15,10}j2[248]
j2[134]{15,6}j2[45]
j2[135]{15,15}j2[135]
j2[136]{15,12}j2[200]
j2[137]{15,3}j2[258]
j2[138]{15,10}j2[177]
j2[139]{15,10}j2[154]
j2[140]{15,8}j2[31]
j2[141]{15,15}j2[119]
j2[142]{15,15}j2[142]
j2[143]{15,10}j2[172]
j2[144]{15,7}j2[71]
j2[145]{15,12}j2[195]
j2[146]{15,5}j2[219]
j2[147]{15,6}j2[99]
j2[148]{15,10}j2[244]
j2[149]{10,8}j2[22]
j2[150]{10,10}j2[14]
j2[151]{10,10}j2[11]
j2[152]{10,10}j2[180]
j2[153]{10,6}j2[251]
j2[154]{10,15}j2[139]
j2[155]{10,15}j2[114]
j2[156]{10,12}j2[194]
j2[157]{10,5}j2[214]
j2[158]{10,10}j2[245]
j2[159]{10,7}j2[77]
j2[160]{10,10}j2[240]
j2[161]{5,10}j2[171]
j2[162]{5,7}j2[74]
j2[163]{10,8}j2[25]
j2[164]{10,10}j2[15]
j2[165]{10,10}j2[165]
j2[166]{10,7}j2[68]
j2[167]{10,6}j2[252]
j2[168]{10,15}j2[108]
j2[169]{10,10}j2[12]
j2[170]{10,6}j2[39]
j2[171]{10,5}j2[161]
j2[172]{10,15}j2[143]
j2[173]{10,12}j2[196]
j2[174]{10,10}j2[242]
j2[175]{10,6}j2[97]
j2[176]{10,7}j2[78]
j2[177]{10,15}j2[138]
j2[178]{10,5}j2[216]
j2[179]{10,10}j2[227]
j2[180]{10,10}j2[152]
j2[181]{10,8}j2[33]
j2[182]{10,10}j2[243]
j2[183]{10,15}j2[123]
j2[184]{10,10}j2[228]
j2[185]{12,6}j2[36]
j2[186]{12,12}j2[186]
j2[187]{12,10}j2[10]
j2[188]{12,15}j2[130]
j2[189]{12,10}j2[247]
j2[190]{12,10}j2[226]
j2[191]{12,6}j2[42]
j2[192]{12,10}j2[8]
j2[193]{12,10}j2[229]
j2[194]{12,10}j2[156]
j2[195]{12,15}j2[145]
j2[196]{12,10}j2[173]
j2[197]{12,7}j2[73]
j2[198]{12,6}j2[256]
j2[199]{12,7}j2[64]
j2[200]{12,15}j2[136]
j2[201]{12,3}j2[257]
j2[202]{12,10}j2[246]
j2[203]{12,5}j2[210]
j2[204]{12,6}j2[100]
j2[205]{5,6}j2[44]
j2[206]{5,8}j2[28]
j2[207]{5,8}j2[19]
j2[208]{5,10}j2[224]
j2[209]{5,15}j2[107]
j2[210]{5,12}j2[203]
j2[211]{5,10}j2[6]
j2[212]{5,6}j2[92]
j2[213]{5,10}j2[231]
j2[214]{5,10}j2[157]
j2[215]{5,6}j2[35]
j2[216]{5,10}j2[178]
j2[217]{5,7}j2[82]
j2[218]{5,15}j2[128]
j2[219]{5,15}j2[146]
j2[220]{5,7}j2[85]
j2[221]{10,6}j2[38]
j2[222]{10,6}j2[43]
j2[223]{10,8}j2[29]
j2[224]{10,5}j2[208]
j2[225]{10,15}j2[105]
j2[226]{10,12}j2[190]
j2[227]{10,10}j2[179]
j2[228]{10,10}j2[184]
j2[229]{10,12}j2[193]
j2[230]{10,7}j2[72]
j2[231]{10,5}j2[213]
j2[232]{10,15}j2[120]
j2[233]{10,8}j2[20]
j2[234]{10,7}j2[67]
j2[235]{10,8}j2[30]
j2[236]{10,6}j2[93]
j2[237]{10,10}j2[9]
j2[238]{10,10}j2[2]
j2[239]{10,6}j2[98]
j2[240]{10,10}j2[160]
j2[241]{10,7}j2[84]
j2[242]{10,10}j2[174]
j2[243]{10,10}j2[182]
j2[244]{10,15}j2[148]
j2[245]{10,10}j2[158]
j2[246]{10,12}j2[202]
j2[247]{10,12}j2[189]
j2[248]{10,15}j2[133]
j2[249]{6,8}j2[21]
j2[250]{6,6}j2[90]
j2[251]{6,10}j2[153]
j2[252]{6,10}j2[167]
j2[253]{6,10}j2[13]
j2[254]{6,7}j2[76]
j2[255]{6,15}j2[126]
j2[256]{6,12}j2[198]
j2[257]{3,12}j2[201]
j2[258]{3,15}j2[137]
j2[259]{4,15}j2[103]
j2[260]{4,7}j2[83]
j2[261]{4,15}j2[117]
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