Finite Group Databasebeta

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C₂₃×#2498 #15670117

• 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)(25,27)(29,30)(31,35)(36,37,40,42)(38,39,43,41);(28,29,32,30)(31,33,35,34)(36,38,40,43)(37,41,42,39);(24,25,26,27)(28,30,32,29)(31,34,35,33)(36,38)(37,39)(40,43)(41,42);(28,31)(29,33)(30,34)(32,35)(36,39)(37,38)(40,41)(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, 1230);