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C₂₃×#1835 #15669454

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

216 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 51 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,26,27)(28,29)(30,33)(31,32)(34,35)(36,37)(38,46)(39,42)(40,50)(41,45)(43,48)(44,47)(49,51);(29,32)(33,35)(36,38,47,49,41,48,40,39)(37,42,50,43,45,51,44,46);(28,30,31,34)(29,33,32,35)(36,39,40,48,41,49,47,38)(37,43,44,42,45,46,50,51)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 567);