Finite Group Databasebeta

?

← Prev (#16842411) Next (#16842413) →

C₃₁×#2479 #16842412

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

518 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)(36,37,40,38)(39,42,43,41)(44,45,48,51)(46,50,47,49);(33,35)(37,38)(41,42)(44,46,48,47)(45,49,51,50);(32,33)(34,35)(36,38,40,37)(39,42,43,41)(44,47,48,46)(45,50,51,49);(36,39,40,43)(37,41,38,42)(44,45)(46,49)(47,50)(48,51)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1211);