Finite Group Databasebeta

?

← Prev (#16842941) Next (#16842943) →

C₃₁×#3009 #16842942

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 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)(34,35)(36,37,40,44)(38,42,45,49)(39,41,47,43)(46,48,51,50);(37,41)(39,47)(42,48)(43,44)(46,51)(49,50);(33,35)(36,38)(37,42)(39,46)(40,45)(41,48)(43,50)(44,49)(47,51);(38,45)(42,49)(46,51)(48,50)

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, 1741);