Finite Group Databasebeta

?

← Prev (#15670099) Next (#15670101) →

C₂₃×#2481 #15670100

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

546 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(28,29,32,33)(30,35,34,31)(36,37)(38,39)(40,42)(41,43);(25,27)(29,33)(30,34)(36,38,40,43)(37,39,42,41);(24,25)(26,27)(28,30,32,34)(29,31,33,35)(36,38)(37,41)(39,42)(40,43);(28,31)(29,34)(30,33)(32,35)(36,39,40,41)(37,38,42,43)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1213);