Finite Group Databasebeta

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C₂₃×#1369 #15668988

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,28,34,30,35,45,51,31,36,44,33,29,47,27,43)(26,37,39,48,41,52,38,49,42,50,46,55,40,54,53,32);(24,26,27,38,29,40,44,39,31,42,45,53,30,41,28,46)(25,32,33,37,35,48,43,52,36,49,34,50,47,55,51,54)

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, 101);