← Prev (#27192317) Next (#27192319) →
Aliases
Subgroups
484 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 123 points:
(1,2,4,3)(5,6,11,15)(7,14,9,17)(8,13,10,19)(12,18,20,16)(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);(5,7,11,9)(6,12,15,20)(8,16,10,18)(13,17,19,14);(1,3,4,2)(5,8,11,10)(6,13,15,19)(7,16,9,18)(12,17,20,14);(5,9,11,7)(6,14,15,17)(8,16,10,18)(12,13,20,19)
Conjugacy classes & character table
4532 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 1684);
Finite Group Databasebeta