Finite Group Databasebeta

?

← Prev (#15688791) Next (#15688793) →

C₄₇×#537 #15688792

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 59 points:

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

Conjugacy classes & character table

1034 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3008, 218);