Group: Sz(8)
Order: 26·5·7·13

Characteristic Block Dimension Cartan Matrix Generators Links
2 1 29120
4 2 2 20 8 9 10
2 4 2 20 9 10 8
2 2 4 20 10 8 9
20 20 20 160 72 72 72
8 9 10 72 34 32 32
9 10 8 72 32 34 32
10 8 9 72 32 32 34
(1,2)(3,4)(5,7)(6,9)(8,12)(10,13)(11,15)(14,19)(16,21)(17,23)(18,25)(20,28)(22,31)(24,33)(26,35)(27,32)(29,37)(30,39)(34,43)(36,46)(38,48)(41,51)(42,44)(45,55)(47,50)(49,58)(52,60)(53,61)(54,59)(56,62)(57,63)(64,65), (1,3,5,8)(4,6,10,14)(7,11,16,22)(9,12,17,24)(13,18,26,36)(15,20,29,38)(19,27,31,28)(21,30,40,50)(23,32,41,52)(25,34,44,54)(33,42,53,43)(35,45,56,63)(37,47,51,46)(39,49,59,60)(48,57,55,58)(61,64,62,65)Condensation Not Used
Ext Dimensions
Basic Algebra
5 1 176
2 0 0 1
0 2 1 1
0 1 2 1
1 1 1 2
z6, z7 Condensation Information
Ext Dimensions
Basic Algebra
7 1 14
4 3
3 4
a^{-1}ba^{2}b,
z1
Condensation Information

Ext Dimensions
Basic Algebra
13 1 466
2 1 1 1
1 2 1 1
1 1 2 1
1 1 1 4
z5, z1 Condensation Information
Ext Dimensions
Basic Algebra