Finite Group Databasebeta

?

← Prev (#16842743) Next (#16842745) →

C₃₁×#2811 #16842744

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

432 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)(32,33,36,34)(35,38,39,37)(40,41)(42,46)(43,44)(45,47)(49,50)(53,54);(33,34)(35,39)(41,44)(42,47)(48,49,52,50)(51,54,55,53);(32,34,36,33)(35,38,39,37)(40,42)(41,45)(43,47)(44,46)(48,50,52,49)(51,54,55,53);(32,35,36,39)(33,37,34,38)(40,41)(42,45)(43,44)(46,47)(48,51)(49,53)(50,54)(52,55)

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, 1543);