Finite Group Databasebeta

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C₂₃×#3104 #15670723

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

384 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)(26,29)(27,28)(30,31)(32,33,36,39)(34,40,42,47)(35,43,45,38)(37,44,46,41);(25,28)(29,31);(32,34,36,42)(33,37,39,46)(35,44,45,41)(38,47,43,40);(24,26,27,30)(25,29,28,31)

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, 1836);