Finite Group Databasebeta

?

← Prev (#16842864) Next (#16842866) →

C₃₁×#2932 #16842865

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(36,37,40,44,41,43,49,50)(38,42,46,39,45,47,51,48);(33,35)(36,38)(37,42)(39,44)(40,46)(41,45)(43,47)(48,50)(49,51);(36,39,40,47,41,48,49,42)(37,38,44,46,43,45,50,51);(37,43)(38,45)(44,50)(46,51)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1664);