Finite Group Databasebeta

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C₂₃×#2767 #15670386

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

344 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)(34,37)(35,39)(41,44)(42,46);(25,27)(26,31)(32,33,36,38)(34,35,37,39)(40,41,43,44)(42,47,46,45);(24,26,28,31)(25,29,27,30)(32,34,36,37)(33,35,38,39);(24,27,28,25)(26,30,31,29)(32,35)(33,37)(34,38)(36,39)(40,42,43,46)(41,45,44,47)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1499);