← Prev (#14546123) Next (#14546125) →
Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 114 points:
(1,2,3,4,5)(7,8,9,11)(10,13,14,20)(12,17,18,16)(15,22,23,33)(19,26,27,29)(21,30,31,25)(24,35,36,50)(28,39,40,46)(32,43,44,42)(34,47,48,38)(37,52,53,71)(41,56,57,67)(45,60,61,63)(49,64,65,59)(51,68,69,55)(54,73,74,92)(58,77,78,88)(62,81,79,84)(66,83,75,82)(70,85,86,80)(72,89,90,76)(87,97,98,96)(91,100,101,95)(93,99,103,94)(102,107,108,106)(104,109,110,105)(111,113,114,112);(6,7,10,15,24,37,54,75,65,48,33,46,63,82,96,106,112,114,110,103,92,81,56,35,51,70,87,99,89,68,47,30,17,8,12,19,28,41,58,79,61,44,31,20,29,42,59,80,95,105,108,101,90,71,88,77,52,72,91,102,109,100,85,64,43,26,13,21,32,45,62,78,57,40,27,18,11,16,25,38,55,76,94,98,86,69,50,67,84,73,93,104,111,113,107,97,83,60,39,22,34,49,66,74,53,36,23,14,9)
Conjugacy classes & character table
155 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2180, 6);
Finite Group Databasebeta