Finite Group Databasebeta

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C₂₃×#2205 #15669824

• nilpotent
• supersolvable
• solvable
• monomial

Aliases

Subgroups

224 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 39 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)(26,34)(27,37)(28,32)(29,39)(30,35)(31,36)(33,38);(24,26,30,29)(25,31,35,37)(27,38,36,28)(32,34,33,39);(24,27,30,36)(25,32,35,33)(26,28,29,38)(31,39,37,34)

Conjugacy classes & character table

460 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 937);