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C₂₉×#2091 #16815805

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

222 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 45 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)(30,31,33,37,34,36,39,43)(32,38,40,44,41,45,42,35);(30,32,39,40,34,41,33,42)(31,35,43,38,36,44,37,45);(31,36)(37,43)

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, 823);