Polytopes for The First Janko Group J1
The First Janko Group J1 has :
- 296 rank 3 polytopes,
- 4 rank 4 polytopes,
- 0 rank 5 polytopes,
- and no higher rank polytopes.
Polytopes of rank 4
| index | Type | Facet Group | VF Group | Dual |
|---|
| j1[297] | {5,6,5} | Simple, Order 660 | Order 120 | j1[300] |
| j1[298] | {5,3,5} | Simple, Order 60 | Order 120 | j1[299] |
| j1[299] | {5,3,5} | Order 120 | Simple, Order 60 | j1[298] |
| j1[300] | {5,6,5} | Order 120 | Simple, Order 660 | j1[297] |
Polytopes of rank 3
| index | Type | Dual |
|---|
| 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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