Finite Group Databasebeta

?

← Prev (#14579952) Next (#14579954) →

C₄₁×#485 #14579953

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

96 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 65 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41)(42,43)(44,47)(45,46)(48,49)(50,51,54,58)(52,55,60,64)(53,56,61,57)(59,62,65,63);(43,46)(47,49)(50,52,54,60)(51,55,58,64)(53,59,61,65)(56,62,57,63);(42,44,45,48)(43,47,46,49)(51,56)(53,61)(55,62)(57,58)(59,65)(63,64)

Conjugacy classes & character table

779 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2624, 166);