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C₂₃×#1544 #15669163

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

202 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)(24,25,27,31,28,30,36,38)(26,32,33,39,34,29,35,37)(40,41)(42,49)(43,47)(44,52)(45,48)(46,50)(51,54)(53,55);(24,26,28,34)(25,29,30,32)(27,35,36,33)(31,39,38,37)(40,42,45,51)(41,46,48,55)(43,50,44,53)(47,54,52,49);(40,43,45,44)(41,47,48,52)(42,50,51,53)(46,54,55,49)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 276);