Finite Group Databasebeta

?

← Prev (#16843141) Next (#16843143) →

C₃₁×#3209 #16843142

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

384 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)(35,37)(36,39)(40,41,44,47)(42,48,50,55)(43,51,53,46)(45,52,54,49);(32,34,35,39)(33,36,37,38);(34,39)(36,38)(40,42,44,50)(41,45,47,54)(43,52,53,49)(46,55,51,48);(33,37)(36,38)

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, 1941);