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C₂₃×#1415 #15669034

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

82 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)(28,29)(30,34)(31,43)(32,46)(33,38)(35,39)(36,40)(37,44)(41,53)(42,49)(45,59)(47,55)(48,54)(50,58)(51,56)(52,57);(29,34)(30,39)(31,40)(32,44)(35,36)(37,53)(38,49)(41,58)(42,56)(43,47)(45,57)(46,48)(50,59)(51,52)(54,55)

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, 147);