Finite Group Databasebeta

?

← Prev (#15670402) Next (#15670404) →

C₂₃×#2784 #15670403

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 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)(26,30)(27,28)(29,31)(32,33,36,37)(34,38,39,35)(40,41,43,45)(42,46,47,44);(25,28)(26,31)(33,37)(35,38)(40,41,43,45)(42,44,47,46);(24,26)(25,29)(27,31)(28,30)(32,34)(33,35)(36,39)(37,38)(40,41)(42,44)(43,45)(46,47);(24,25)(26,29)(27,28)(30,31)(32,35)(33,34)(36,38)(37,39)(40,42,43,47)(41,44,45,46)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1516);