Finite Group Databasebeta

?

← Prev (#15670363) Next (#15670365) →

C₂₃×#2745 #15670364

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

400 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)(26,28)(27,29)(30,31)(32,33)(34,37)(35,39)(36,38)(40,41,44,42)(43,46,47,45);(25,26)(27,31)(32,34,36,39)(33,37,38,35)(40,42,44,41)(43,46,47,45);(24,26,28,25)(27,30,31,29)(32,34)(33,35)(36,39)(37,38)(40,43)(41,45)(42,46)(44,47);(24,27)(25,29)(26,30)(28,31)(32,35)(33,34)(36,37)(38,39)(40,43)(41,45)(42,46)(44,47)

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, 1477);