← Prev (#27192378) Next (#27192380) →
Aliases
Subgroups
712 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 123 points:
(1,2)(3,4)(6,10)(8,15)(11,17)(12,16)(14,19)(18,20)(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);(5,6,9,12)(7,11,13,18)(8,16,15,10)(14,20,19,17);(2,4)(7,13)(11,18)(14,19)(17,20);(5,7,9,13)(6,11,12,18)(8,14,15,19)(10,17,16,20)
Conjugacy classes & character table
3296 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 1745);
Finite Group Databasebeta