Finite Group Databasebeta

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C₂₉×#1407 #16815121

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

98 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)(32,40,42,55)(33,44,45,60)(34,47,49,38)(35,39)(36,41,50,57)(37,46)(43,53,48,56)(51,58,52,59)(54,61);(30,32,35,43)(31,36,39,52)(33,41,45,59)(34,48,49,42)(37,53,54,40)(38,50,47,51)(44,56,60,55)(46,57,61,58)

Conjugacy classes & character table

406 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 139);