Finite Group Databasebeta

?

← Prev (#16842742) Next (#16842744) →

C₃₁×#2810 #16842743

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

344 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)(34,38)(35,36)(37,39)(41,44)(42,46)(48,49,53,50)(51,55,52,54);(33,36)(34,39)(40,41,43,44)(42,47,46,45)(48,50,53,49)(51,55,52,54);(32,34)(33,37)(35,39)(36,38)(48,51,53,52)(49,54,50,55);(32,33)(34,37)(35,36)(38,39)(40,42,43,46)(41,45,44,47)(48,52,53,51)(49,55,50,54)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1542);