Finite Group Databasebeta

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C₂₃×#3252 #15670871

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

348 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)(25,28)(26,30)(32,33,36,40)(34,37,41,45)(35,38,43,39)(42,46,47,44);(24,25)(26,29)(27,28)(30,31)(32,34)(33,37)(35,42)(36,41)(38,46)(39,44)(40,45)(43,47);(25,28)(29,31)(33,38)(34,41)(35,43)(37,44)(39,40)(45,46);(24,26,27,30)(25,29,28,31)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1984);