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C₂₉×#1414 #16815128

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

84 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)(30,31)(32,40,42,55)(33,44,46,60)(34,48,50,38)(35,39)(36,41,51,58)(37,47)(43,57,49,56)(45,52,59,53)(54,61);(30,32)(31,36,39,53)(33,45)(34,49)(35,43)(37,40,54,57)(38,51,48,52)(41,46)(42,50)(44,55,60,56)(47,59)(58,61)

Conjugacy classes & character table

493 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 146);