Finite Group Databasebeta

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C₂₃×#2841 #15670460

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

396 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)(29,31)(32,33,36,37)(34,35,38,39)(42,46)(44,47);(26,30)(29,31)(33,37)(35,39)(40,41,43,45)(42,47,46,44);(24,25)(26,29)(27,28)(30,31)(32,34)(33,35)(36,38)(37,39)(40,42,43,46)(41,44,45,47);(24,26)(25,29)(27,30)(28,31)(32,35)(33,38)(34,37)(36,39)(40,41)(42,44)(43,45)(46,47)

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, 1573);