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C₂₃×#2493 #15670112

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

440 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)(24,25,28,26)(27,30,31,29)(32,33,36,39)(34,38,35,37)(41,44)(45,47);(25,26)(29,30)(32,34,36,35)(33,37,39,38)(40,41)(42,45)(43,44)(46,47);(24,26,28,25)(27,30,31,29)(32,35,36,34)(33,38,39,37)(40,42,43,46)(41,45,44,47);(24,27)(25,29)(26,30)(28,31)(32,33)(34,37)(35,38)(36,39)(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, 1225);