Finite Group Databasebeta

?

← Prev (#16815968) Next (#16815970) →

C₂₉×#2255 #16815969

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 53 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)(30,31,33,35)(32,36,37,34)(39,43)(40,45)(41,47)(44,49)(46,53)(48,52)(50,51);(30,32,33,37)(31,34,35,36)(39,44)(43,49)(46,50)(51,53);(38,39,45,51,41,46,48,49,42,44,52,53,47,50,40,43)

Conjugacy classes & character table

754 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 987);