Finite Group Databasebeta

?

← Prev (#16816826) Next (#16816828) →

C₂₉×#3113 #16816827

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

380 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 53 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)(32,35)(33,34)(36,37)(38,39,42,45)(40,46,47,53)(41,49,51,44)(43,50,52,48);(31,34)(35,37);(38,40,42,47)(39,43,45,52)(41,50,51,48)(44,53,49,46);(30,32,33,36)(31,35,34,37)(40,47)(43,52)(46,53)(48,50)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1845);