Finite Group Databasebeta

?

← Prev (#15670276) Next (#15670278) →

C₂₃×#2658 #15670277

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

612 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)(24,25,26,27)(33,37)(34,40)(39,45)(42,43);(28,29,30,31)(32,33)(34,41)(35,39)(36,37)(38,40)(42,47)(43,46)(44,45);(24,25)(26,27)(28,29)(30,31)(32,34)(33,38)(35,43)(36,40)(37,41)(39,47)(42,44)(45,46);(32,35,36,44)(33,39,37,45)(34,42,40,43)(38,46,41,47)

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, 1390);