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Aliases
Splittings
Subgroups
28 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 106 points:
(2,3,6,14,35,4,7,15,36,70,9,17,38,26,23,22,41,74,53,39,48,52,84,73,47)(5,11,27,55,76,12,28,56,87,16,30,58,89,99,40,61,37,13,32,65,92,72,33,66,49)(8,19,43,78,75,20,44,79,95,94,18,10,24,29,59,42,25,50,34,68,77,51,67,69,82)(21,45,80,86,71,46,31,62,88,64,81,63,93,100,90,97,57,91,101,96,54,85,98,60,83);(1,2,5,13,34,7,18,27,57,43,28,55,88,94,77,66,3,8,21,47,82,24,51,59,53,38,62,91,101,100,25,52,11,29,60,87,9,23,49,83,98,58,81,78,96,95,93,79,32,67,89,97,74,85,6,16,14,37,73,56,90,65,72,80,68,42,63,92,36,71,19,17,30,61,40,76,50,69,70,41,15,39,75,33,48,44,45,22,35,12,31,64,84,99,46,4,10,26,54,86,20)(102,103,104,105,106)
Conjugacy classes & character table
145 conjugacy classes — view the full character table.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12625, 17);
Finite Group Databasebeta