Finite Group Databasebeta

?

← Prev (#16843313) Next (#16843315) →

C₃₁×#3381 #16843314

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

338 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 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)(32,33,36,35)(34,38,39,37)(40,41,44,48)(42,45,50,54)(43,46,51,47)(49,52,55,53);(32,34,36,39)(33,37,35,38)(40,42,44,50)(41,45,48,54)(43,49,51,55)(46,52,47,53);(41,46)(43,51)(45,52)(47,48)(49,55)(53,54);(32,35,36,33)(34,37,39,38)

Conjugacy classes & character table

1085 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2113);