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C₂₃×#3240 #15670859

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

328 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(26,32)(27,30)(28,31)(29,34)(33,38)(35,37)(36,39)(40,41)(42,50)(43,49)(44,46)(45,48)(47,51)(52,55)(53,54);(24,26,28,34)(25,29,31,32)(27,35,36,33)(30,38,39,37)(41,46)(47,54)(48,49)(50,55);(24,27,28,36)(25,30,31,39)(26,33,34,35)(29,37,32,38)(40,42,44,52)(41,47,46,54)(43,51,45,53)(48,50,49,55);(25,31)(29,32)(30,39)(37,38)(40,43,44,45)(41,48,46,49)(42,51,52,53)(47,50,54,55)

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, 1972);