Finite Group Databasebeta

?

← Prev (#16837003) Next (#16837005) →

C₅₉×#470 #16837004

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

110 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 79 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59)(60,61)(62,63)(64,65,68,71)(66,72,74,79)(67,76,73,70)(69,77,78,75);(64,66,73,77,68,74,67,75)(65,69,76,79,71,78,70,72);(61,63)(66,74)(69,78)(72,79)(75,77)

Conjugacy classes & character table

944 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 151);