Finite Group Databasebeta

?

← Prev (#16815874) Next (#16815876) →

C₂₉×#2161 #16815875

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(30,31,34,39,36,40,35,50)(32,41,45,57,43,55,46,60)(33,47,48,54,49,61,42,38)(37,51,53,59,52,58,56,44);(30,32,42,58,35,46,49,59,36,43,48,51,34,45,33,44)(31,37,47,57,39,53,54,55,40,52,61,60,50,56,38,41);(32,43)(37,52)(41,55)(44,59)(45,46)(51,58)(53,56)(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, 893);