Finite Group Databasebeta

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C₂₉×#2205 #16815919

• nilpotent
• supersolvable
• solvable
• monomial

Aliases

Subgroups

224 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)(32,40)(33,43)(34,38)(35,45)(36,41)(37,42)(39,44);(30,32,36,35)(31,37,41,43)(33,44,42,34)(38,40,39,45);(30,33,36,42)(31,38,41,39)(32,34,35,44)(37,45,43,40)

Conjugacy classes & character table

580 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 937);