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C₂₃×#1425 #15669044

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

Aliases

Subgroups

50 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 87 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,28,34,31,36,30,52)(26,37,40,62,43,64,42,74)(27,44,46,75,48,77,47,78)(29,50,49,60,51,79,45,35)(32,53,54,70,56,69,80,39)(33,57,58,67,59,66,76,38)(41,72,71,84,73,87,68,63)(55,65,61,81,82,86,83,85);(24,26,38,65,29,41,46,53,28,40,57,81,49,71,48,70,31,43,67,86,51,73,47,69,30,42,66,85,45,68,27,39)(25,32,44,63,35,55,76,74,52,80,78,87,79,83,59,64,36,56,77,84,60,82,58,62,34,54,75,72,50,61,33,37)

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, 157);