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Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 102 points:
(1,2,3,4,5)(7,8,9,11)(10,13,14,20)(12,17,18,16)(15,22,23,33)(19,26,27,29)(21,30,31,25)(24,35,36,50)(28,39,40,46)(32,43,44,42)(34,47,48,38)(37,52,53,71)(41,56,57,67)(45,60,61,63)(49,64,65,59)(51,68,69,55)(54,73,74,91)(58,77,78,87)(62,81,82,85)(66,84,79,83)(70,86,75,80)(72,88,89,76)(90,95,96,94)(92,97,98,93)(99,101,102,100);(6,7,10,15,24,37,54,75,69,50,67,85,77,52,72,90,97,88,68,47,30,17,8,12,19,28,41,58,79,65,48,33,46,63,83,73,92,99,101,95,86,64,43,26,13,21,32,45,62,82,61,44,31,20,29,42,59,80,94,100,102,98,91,84,60,39,22,34,49,66,78,57,40,27,18,11,16,25,38,55,76,93,96,89,71,87,81,56,35,51,70,74,53,36,23,14,9)
Conjugacy classes & character table
140 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1940, 5);
Finite Group Databasebeta