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C₂₃×#1373 #15668992

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

62 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(24,25,28,33,29,35,27,43,30,36,38,32,44,34,45,50)(26,37,40,47,41,52,39,31,42,46,53,48,54,51,55,49);(24,26,38,53,29,41,45,55,30,42,28,40,44,54,27,39)(25,31,43,51,34,47,33,46,36,49,50,52,35,48,32,37)

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, 105);