Finite Group Databasebeta

?

← Prev (#15670913) Next (#15670915) →

C₂₃×#3295 #15670914

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,27,29)(26,30,31,28)(32,33,35,38)(34,36,39,37);(24,26)(25,28)(27,31)(29,30);(33,36)(34,39)(37,38);(26,31)(28,30)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2027);