← Prev (#17992383) Next (#17992385) →
Aliases
Subgroups
954 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 69 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37)(39,45)(40,50)(41,55)(42,58)(46,63)(47,53)(49,62)(51,61)(54,67)(56,64)(57,68)(59,69);(38,39)(40,51)(41,56)(42,48)(43,45)(44,49)(46,50)(47,57)(52,58)(53,55)(54,63)(59,65)(60,62)(61,67)(64,68)(66,69);(38,40,43,54)(39,46,45,61)(41,52,57,48)(42,53,58,64)(44,50,60,67)(47,59,56,69)(49,51,62,63)(55,66,68,65);(38,41)(39,47)(40,52)(42,51)(43,57)(44,55)(45,56)(46,59)(48,54)(49,64)(50,66)(53,62)(58,63)(60,68)(61,69)(65,67);(38,42,44,59)(39,48,49,65)(40,53,50,56)(41,51,55,46)(43,58,60,69)(45,52,62,66)(47,54,64,67)(57,63,68,61)
Conjugacy classes & character table
1406 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 2298);
Finite Group Databasebeta