← Prev (#28386151) Next (#28386153) →
Aliases
Subgroups
78 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 145 points:
(1,2,4,9,5,10,18,28,6,11,17,29,20,8,25,26)(3,12,13,30,14,7,21,22,15,23,31,27,19,24,16,32)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145);(1,3,6,15)(2,7,11,24)(4,16,17,21)(5,19,20,14)(8,23,10,12)(9,27,29,30)(13,18,31,25)(22,26,32,28)
Conjugacy classes & character table
2260 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 88);
Finite Group Databasebeta