Finite Group Databasebeta

?

← Prev (#15670588) Next (#15670590) →

C₂₃×#2970 #15670589

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

406 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)(26,29)(27,28)(30,31)(32,33,35,38,36,34,37,39);(25,28)(29,31);(32,34,35,39,36,33,37,38);(24,26,27,30)(25,29,28,31)(33,34)(38,39)

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1702);