← Prev (#10652049) Next (#10652051) →
Aliases
Subgroups
648 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 35 points:
(1,2,3)(4,5,9,14,8,15,23,32,10,12,25,28,24,13,29,31)(6,16,18,22,19,27,33,21,20,30,34,35,17,11,26,7);(4,6)(5,11)(7,14)(8,19)(9,18)(10,20)(12,27)(13,30)(15,16)(17,24)(21,28)(22,32)(23,33)(25,34)(26,29)(31,35);(4,7,9,16,8,22,23,27,10,21,25,30,24,35,29,11)(5,6,14,18,15,19,32,33,12,20,28,34,13,17,31,26);(5,12)(7,21)(11,27)(13,15)(14,28)(16,30)(22,35)(31,32)
Conjugacy classes & character table
264 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(768, 26431);
Finite Group Databasebeta