Finite Group Databasebeta

?

← Prev (#16815816) Next (#16815818) →

C₂₉×#2103 #16815817

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 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)(30,31,34,39,35,40,36,51)(32,41,43,53,45,56,44,37)(33,46,48,60,49,38,50,55)(42,54,57,61,58,59,47,52);(30,32,36,43,35,45,34,44)(31,37,51,41,40,53,39,56)(33,47,50,42,49,57,48,58)(38,54,60,61,46,59,55,52);(30,33,34,48,35,49,36,50)(31,38,39,55,40,46,51,60)(32,42,43,57,45,58,44,47)(37,52,41,54,53,61,56,59)

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, 835);