Finite Group Databasebeta

?

← Prev (#16842762) Next (#16842764) →

C₃₁×#2830 #16842763

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

408 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)(33,36)(37,39)(40,41,44,45)(42,46,47,43)(48,49,52,55)(50,51,54,53);(34,38)(37,39)(42,47)(43,46)(48,50,52,54)(49,53,55,51);(32,33)(34,37)(35,36)(38,39)(40,42)(41,43)(44,47)(45,46)(48,50)(49,53)(51,55)(52,54);(32,34)(33,37)(35,38)(36,39)(40,43)(41,42)(44,46)(45,47)(48,51,52,53)(49,54,55,50)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1562);