Finite Group Databasebeta

?

← Prev (#16842879) Next (#16842881) →

C₃₁×#2947 #16842880

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

470 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)(32,33,35,34)(37,41)(39,46)(42,48)(43,47)(45,50)(49,51);(36,37,40,43)(38,42,44,49)(39,47,46,41)(45,51,50,48);(32,34,35,33)(36,38)(37,42)(39,45)(40,44)(41,48)(43,49)(46,50)(47,51);(38,44)(42,49)(45,50)(48,51)

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, 1679);