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C₂₃×#3237 #15670856

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

322 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)(40,41,45,48)(42,49,50,55)(43,47,44,52)(46,53,54,51);(24,26,28,34)(25,29,31,32)(27,35,36,33)(30,38,39,37)(42,50)(46,54)(49,55)(51,53);(24,27,28,36)(25,30,31,39)(26,33,34,35)(29,37,32,38)(40,42)(41,46)(43,51)(44,53)(45,50)(47,55)(48,54)(49,52);(25,31)(29,32)(30,39)(37,38)(40,43,45,44)(41,47,48,52)(42,51,50,53)(46,55,54,49)

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, 1969);