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C₂₃×#3232 #15670851

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

334 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)(42,45)(43,46)(44,48)(47,51)(49,52)(50,54)(53,55);(24,26,28,34)(25,29,31,32)(27,35,36,33)(30,38,39,37)(40,42,44,50)(41,45,48,54)(43,49,51,55)(46,52,47,53);(24,27,28,36)(25,30,31,39)(26,33,34,35)(29,37,32,38)(41,46)(43,51)(45,52)(47,48)(49,55)(53,54);(25,31)(29,32)(30,39)(37,38)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1964);