Finite Group Databasebeta

?

← Prev (#15669328) Next (#15669330) →

C₂₃×#1710 #15669329

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 55 points:

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

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 442);