Finite Group Databasebeta

?

← Prev (#17991275) Next (#17991277) →

C₃₇×#2458 #17991276

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 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)(43,46)(47,49)(50,51,54,56)(52,53,57,55);(39,41)(43,46)(47,49)(50,52,54,57)(51,55,56,53);(38,39)(40,41)(42,43)(44,47)(45,46)(48,49)(50,52)(51,53)(54,57)(55,56);(42,44,45,48)(43,47,46,49)(50,53)(51,52)(54,55)(56,57)

Conjugacy classes & character table

1406 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 1190);