Finite Group Databasebeta

?

← Prev (#15670717) Next (#15670719) →

C₂₃×#3099 #15670718

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(26,29)(27,28)(30,31)(32,33,37,41)(34,38,43,47)(35,40,36,45)(39,44,46,42);(25,28)(29,31)(32,34)(33,38)(35,44)(36,42)(37,43)(39,45)(40,46)(41,47);(24,26,27,30)(25,29,28,31)(32,34)(33,39)(35,42)(36,44)(37,43)(38,45)(40,47)(41,46);(32,35,37,36)(33,40,41,45)(34,42,43,44)(38,39,47,46)

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, 1831);