Finite Group Databasebeta

?

← Prev (#16841754) Next (#16841756) →

C₃₁×#1822 #16841755

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

272 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 554);