Finite Group Databasebeta

?

← Prev (#15670797) Next (#15670799) →

C₂₃×#3179 #15670798

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

374 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)(32,33,37,40)(34,38,42,46)(35,44,39,36)(41,43,45,47);(25,28)(29,31)(32,34)(33,38)(35,45)(36,43)(37,42)(39,41)(40,46)(44,47);(32,35,36,33,37,39,44,40)(34,41,43,46,42,45,47,38);(24,26,27,30)(25,29,28,31)(34,42)(38,46)(41,45)(43,47)

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, 1911);