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C₂₃×#1416 #15669035

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

74 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(24,25,26,27)(29,34)(30,38)(31,40)(32,44)(35,50)(36,53)(37,49)(39,43)(41,57)(42,47)(45,51)(46,48)(52,58)(54,55)(56,59);(28,29,33,37)(30,39,42,56)(31,43,45,59)(32,46,44,36)(34,47,49,38)(35,51,52,40)(41,58,54,50)(48,55,53,57)

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, 148);