Finite Group Databasebeta

?

← Prev (#16815519) Next (#16815521) →

C₂₉×#1806 #16815520

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

312 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 41 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)(31,33)(34,35,37,40,38,36,41,39);(30,31,32,33);(34,36)(35,38)(37,39)(40,41)

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 538);