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C₂₉×#1829 #16815543

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

272 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)(30,31,33,37,34,35,41,42)(32,38,40,45,39,36,43,44);(31,35)(33,41)(36,38)(40,43);(30,32)(31,36,35,38)(33,40)(34,39)(37,44,42,45)(41,43)

Conjugacy classes & character table

841 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 561);