← Prev (#17990247) Next (#17990249) →
Aliases
Subgroups
38 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 101 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)(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);(39,69)(40,100)(41,67)(42,98)(43,65)(44,96)(45,63)(46,94)(47,61)(48,92)(49,59)(50,90)(51,57)(52,88)(53,55)(54,86)(56,84)(58,82)(60,80)(62,78)(64,76)(66,74)(68,72)(71,101)(73,99)(75,97)(77,95)(79,93)(81,91)(83,89)(85,87)
Conjugacy classes & character table
1295 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 162);
Finite Group Databasebeta