Finite Group Databasebeta

?

← Prev (#15670796) Next (#15670798) →

C₂₃×#3178 #15670797

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

350 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)(34,40)(35,43)(37,44)(39,45)(41,46)(42,47);(25,28)(29,31)(32,33)(34,41)(35,39)(36,38)(37,42)(40,46)(43,45)(44,47);(32,34,35,40,36,42,43,47)(33,37,39,44,38,41,45,46);(24,26,27,30)(25,29,28,31)(33,38)(37,41)(39,45)(44,46)

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, 1910);