Finite Group Databasebeta

?

← Prev (#14579973) Next (#14579975) →

C₂×SD₃₂×C₄₁ #14579974

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 59 points:

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

Conjugacy classes & character table

902 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2624, 187);