Finite Group Databasebeta

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C₂₉×#1426 #16815140

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

Aliases

Subgroups

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

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, 158);