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C₂₃×#2176 #15669795

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 59 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,27,26)(28,29)(30,38)(31,42)(32,47)(33,35)(34,39)(36,45)(37,44)(40,58)(41,55)(43,53)(46,54)(48,52)(49,57)(50,59)(51,56);(28,30,33,41)(29,34,35,49)(31,43,46,59)(32,48,44,40)(36,52,51,58)(37,53,47,50)(38,54,55,42)(39,56,57,45);(24,26,27,25)(29,35)(34,49)(36,51)(37,47)(38,55)(42,54)(50,53)(52,58)

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, 908);