Finite Group Databasebeta

?

← Prev (#15670892) Next (#15670894) →

C₂₃×#3274 #15670893

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

556 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 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)(29,32)(30,35)(33,34);(28,29,31,33)(30,34,35,32);(25,27)(29,33)(32,34);(29,34)(30,35)(32,33)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2006);