Finite Group Databasebeta

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C₂₉×#2104 #16815818

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

178 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)(32,38,40,35)(33,36,42,45)(34,37)(39,44)(41,43);(30,32)(31,35)(33,41,42,39)(34,40)(36,44,45,43)(37,38);(30,33)(31,36,37,45)(32,39)(34,42)(35,43,38,44)(40,41)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 836);