Finite Group Databasebeta

?

← Prev (#15669036) Next (#15669038) →

C₂₃×#1418 #15669037

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

74 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)(25,30,31,46)(26,34)(27,39)(28,41)(32,50,49,54)(33,51,43,48)(35,40,47,45)(36,42)(37,55)(38,44)(52,53);(24,25)(26,35)(27,40)(28,43)(29,31)(30,44)(32,39)(33,41)(34,46)(36,49)(37,50)(38,47)(42,45)(48,53)(51,55)(52,54)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 150);