Finite Group Databasebeta

?

← Prev (#16815082) Next (#16815084) →

C₂₉×#1369 #16815083

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(30,31,34,40,36,41,51,57,37,42,50,39,35,53,33,49)(32,43,45,54,47,58,44,55,48,56,52,61,46,60,59,38);(30,32,33,44,35,46,50,45,37,48,51,59,36,47,34,52)(31,38,39,43,41,54,49,58,42,55,40,56,53,61,57,60)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 101);