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C₂₃×#3509 #15671128

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

992 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 47 points:

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

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, 2241);