Finite Group Databasebeta

?

← Prev (#17991748) Next (#17991750) →

C₃₇×#2931 #17991749

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

500 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 57 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)(42,43,47,50,46,49,55,57)(44,51,53,54,52,48,56,45);(39,41)(42,44)(43,48)(45,50)(46,52)(47,53)(49,51)(54,57)(55,56);(42,45,47,51,46,54,55,48)(43,44,50,53,49,52,57,56);(43,49)(44,52)(50,57)(53,56)

Conjugacy classes & character table

2072 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 1663);