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C₂₃×#2505 #15670124

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

456 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(24,25,28,29)(26,31,30,27)(32,33,36,38)(34,35,39,37)(41,44)(42,46);(25,29)(26,30)(32,34,36,39)(33,37,38,35)(40,41)(42,45)(43,44)(46,47);(24,26,28,30)(25,27,29,31)(32,34)(33,35)(36,39)(37,38)(40,42,43,46)(41,45,44,47);(24,27)(25,30)(26,29)(28,31)(32,35)(33,34)(36,37)(38,39)(40,41)(42,45)(43,44)(46,47)

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, 1237);