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C₂₃×#1419 #15669038

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

78 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 151);