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C₂₉×#2263 #16815977

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

112 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)(32,36)(33,45)(34,48)(35,37)(38,41)(39,42)(40,46)(43,55)(44,49)(47,61)(50,57)(51,56)(52,58)(53,59)(54,60);(31,36)(32,41)(33,42)(34,46)(37,49)(38,39)(40,55)(43,60)(44,58)(45,50)(47,59)(48,51)(52,53)(54,61)(56,57);(31,37)(36,49)(38,52)(39,53)(40,48)(45,61)(50,54)(51,55)

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, 995);