Finite Group Databasebeta

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C₂₃×#2704 #15670323

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(30,31)(32,33)(34,35)(36,37,39,41)(38,42,43,40);(25,27)(29,33)(31,34)(36,37,39,41)(38,40,43,42);(24,25)(26,27)(28,30)(29,34)(31,33)(32,35)(36,37)(38,40)(39,41)(42,43);(28,31,32,34)(29,30,33,35)(36,38)(37,40)(39,43)(41,42)

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, 1436);