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C₂₉×#1385 #16815099

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

124 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)(30,31,34,40,37,42,36,52)(32,43,45,58,47,59,50,54)(33,41,35,51,49,57,48,39)(38,46,53,44,56,60,55,61);(30,32,35,46,34,50,49,61,37,47,48,60,36,45,33,44)(31,38,41,54,52,53,39,43,42,56,57,58,40,55,51,59)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 117);