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C₃₇×#2255 #17991073

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 61 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)(38,39,41,43)(40,44,45,42)(47,51)(48,53)(49,55)(52,57)(54,61)(56,60)(58,59);(38,40,41,45)(39,42,43,44)(47,52)(51,57)(54,58)(59,61);(46,47,53,59,49,54,56,57,50,52,60,61,55,58,48,51)

Conjugacy classes & character table

962 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 987);