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C₂₃×#2510 #15670129

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 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)(26,28)(27,30)(29,31)(32,33,36,38)(34,35,39,37)(40,41,43,45)(42,46,47,44);(25,26)(29,30)(32,34,36,39)(33,37,38,35)(40,41)(42,44)(43,45)(46,47);(24,26,28,25)(27,30,31,29)(32,34)(33,35)(36,39)(37,38)(40,42,43,47)(41,44,45,46);(24,27)(25,29)(26,30)(28,31)(32,35)(33,34)(36,37)(38,39)(40,41)(42,44)(43,45)(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, 1242);