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C₂₃×#2596 #15670215

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(24,25,28,27)(26,30,31,29)(32,33,36,37)(34,39,38,35)(42,46)(45,47);(26,31)(29,30)(33,37)(34,38)(40,41,44,43)(42,45,46,47);(24,26,28,31)(25,29,27,30)(32,34,36,38)(33,35,37,39)(40,42)(41,45)(43,47)(44,46);(24,27,28,25)(26,30,31,29)(32,35)(33,38)(34,37)(36,39)(40,43,44,41)(42,47,46,45)

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, 1328);