Finite Group Databasebeta

?

← Prev (#16815424) Next (#16815426) →

C₂₉×#1711 #16815425

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

178 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(32,38)(33,42)(34,36)(35,40)(37,39)(41,44)(43,45)(46,47)(48,54)(49,51)(50,58)(52,56)(53,57)(55,60)(59,61);(30,32,39,45,34,41,33,40)(31,35,42,44,36,43,37,38)(47,51)(52,59)(53,58)(54,60);(31,36)(35,43)(37,42)(38,44)(46,48,50,56,49,55,57,61)(47,52,53,54,51,59,58,60)

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, 443);