Finite Group Databasebeta

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C₂₉×#1381 #16815095

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

128 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 65 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)(32,33)(34,35,38,43,40,46,52,45)(36,47,49,61,51,62,63,56)(37,44,39,42,53,59,54,60)(41,50,55,64,58,65,57,48);(31,33)(34,36,39,50,38,49,53,64,40,51,54,65,52,63,37,48)(35,41,44,56,45,57,60,62,46,58,59,61,43,55,42,47)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 113);