← Prev (#31778286) Next (#31778288) →
Aliases
Subgroups
472 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 157 points:
(1,2)(3,4)(5,6,10,8)(7,13,16,20)(9,18,19,12)(11,14,17,15)(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157);(5,7,10,16)(6,11,8,17)(9,14,19,15)(12,20,18,13);(2,4)(5,8,10,6)(7,11,16,17)(9,18,19,12)(13,14,20,15);(7,14)(9,19)(11,20)(12,18)(13,17)(15,16)
Conjugacy classes & character table
3973 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 2008);
Finite Group Databasebeta