Finite Group Databasebeta

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C₂₉×#1418 #16815132

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

74 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)(31,36,37,52)(32,40)(33,45)(34,47)(38,56,55,60)(39,57,49,54)(41,46,53,51)(42,48)(43,61)(44,50)(58,59);(30,31)(32,41)(33,46)(34,49)(35,37)(36,50)(38,45)(39,47)(40,52)(42,55)(43,56)(44,53)(48,51)(54,59)(57,61)(58,60)

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, 150);