Finite Group Databasebeta

?

← Prev (#17990235) Next (#17990237) →

C₃₇×#1418 #17990236

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

74 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 69 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)(39,44,45,60)(40,48)(41,53)(42,55)(46,64,63,68)(47,65,57,62)(49,54,61,59)(50,56)(51,69)(52,58)(66,67);(38,39)(40,49)(41,54)(42,57)(43,45)(44,58)(46,53)(47,55)(48,60)(50,63)(51,64)(52,61)(56,59)(62,67)(65,69)(66,68)

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, 150);