← Prev (#27190243) Next (#27190245) →
Aliases
Splittings
Subgroups
36 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 78 points:
(2,42,58,14,4,48,17,33,11,3,36,62,6,7,40,34,13,18,5,47,30,9,12,66,16,20,29,8,21,39,15,19,44,23,31,38)(10,72,53,46,25,56,59,69,51,24,35,55,27,49,64,70,37,71,26,57,41,50,32,73,52,65,60,22,63,28,43,45,67,54,61,68)(74,75,76,77,78);(1,2,4,14,11,27,33,63,6,17,37,46,62,56,67,70,13,32,36,19,41,45,69,66,34,42,24,3,10,28,57,71,30,59,60,18,40,44,38,51,52,58,68,72,55,26,8,22,47,23,48,65,49,53,7,21,25,31,54,64,73,39,50,61,16,15,35,20,43,29,9,12,5)
Conjugacy classes & character table
190 conjugacy classes — view the full character table.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13140, 78);
Finite Group Databasebeta