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C₂₃×#2103 #15669722

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(24,25,28,33,29,34,30,45)(26,35,37,47,39,50,38,31)(27,40,42,54,43,32,44,49)(36,48,51,55,52,53,41,46);(24,26,30,37,29,39,28,38)(25,31,45,35,34,47,33,50)(27,41,44,36,43,51,42,52)(32,48,54,55,40,53,49,46);(24,27,28,42,29,43,30,44)(25,32,33,49,34,40,45,54)(26,36,37,51,39,52,38,41)(31,46,35,48,47,55,50,53)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 835);