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Aliases
Subgroups
756 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 119 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)(102,103);(104,105,108,113,109,112,107,111)(106,114,115,119,116,110,117,118);(104,106)(105,110)(107,115)(108,117)(109,116)(111,118)(112,114)(113,119);(104,107,109,108)(105,111,112,113)(106,115,116,117)(110,118,114,119)
Conjugacy classes & character table
4444 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 1619);
Finite Group Databasebeta