Finite Group Databasebeta

?

← Prev (#15669031) Next (#15669033) →

C₂₃×#1413 #15669032

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

78 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(24,25,27,32,29,34,41,51)(26,35,37,53,36,52,54,49)(28,33,43,50,44,31,40,48)(30,45,46,38,47,39,55,42);(24,26,29,36)(25,30)(27,39,41,45)(28,42,44,38)(31,35)(32,49)(33,52)(34,47)(37,40,54,43)(46,48)(50,55)(51,53)

Conjugacy classes & character table

322 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 145);