← Prev (#27191610) Next (#27191612) →
Aliases
Subgroups
132 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 143 points:
(1,2)(3,5)(4,6)(7,8)(9,10,16,22)(11,23,28,18)(12,29,25,17)(13,20,32,34)(14,19,24,38)(15,33,31,21)(26,39,30,36)(27,37,40,35)(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);(1,3,4,7)(2,5,6,8)(9,11,24,30,15,27,13,25,16,28,14,26,31,40,32,12)(10,17,34,37,21,36,19,23,22,29,20,35,33,39,38,18);(2,6)(5,8)(9,12,13,27,31,26,24,11,16,25,32,40,15,30,14,28)(10,18,19,36,33,35,34,17,22,23,38,39,21,37,20,29)
Conjugacy classes & character table
2678 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 977);
Finite Group Databasebeta