Finite Group Databasebeta

?

← Prev (#15670793) Next (#15670795) →

C₂₃×#3175 #15670794

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

362 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)(35,41)(37,43)(39,44)(42,46)(45,47);(25,28)(29,31)(32,33)(34,37)(35,39)(36,38)(40,43)(41,44)(42,45)(46,47);(32,34,41,46,36,42,35,40)(33,37,44,47,38,45,39,43);(24,26,27,30)(25,29,28,31)(33,38)(37,45)(39,44)(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, 1907);