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C₂₃×#2263 #15669882

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

112 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)(26,30)(27,39)(28,42)(29,31)(32,35)(33,36)(34,40)(37,49)(38,43)(41,55)(44,51)(45,50)(46,52)(47,53)(48,54);(25,30)(26,35)(27,36)(28,40)(31,43)(32,33)(34,49)(37,54)(38,52)(39,44)(41,53)(42,45)(46,47)(48,55)(50,51);(25,31)(30,43)(32,46)(33,47)(34,42)(39,55)(44,48)(45,49)

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, 995);