Finite Group Databasebeta

?

← Prev (#15670729) Next (#15670731) →

C₂₃×#3111 #15670730

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(34,42)(35,40)(36,41)(37,39)(38,44)(43,46)(45,47);(25,28)(29,31)(32,34,36,44)(33,38,41,42)(35,43,37,45)(39,46,40,47);(33,39)(35,37)(38,46)(40,41)(42,47)(43,45);(24,26,27,30)(25,29,28,31)(32,35,36,37)(33,40,41,39)(34,43,44,45)(38,47,42,46)

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, 1843);