Finite Group Databasebeta

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C₂₃×#2478 #15670097

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(29,30)(31,35)(36,37)(38,39)(40,42)(41,43);(25,27)(28,29,32,30)(31,33,35,34)(36,38,40,43)(37,39,42,41);(24,25)(26,27)(28,30,32,29)(31,34,35,33)(36,38)(37,41)(39,42)(40,43);(28,31)(29,33)(30,34)(32,35)(36,39,40,41)(37,38,42,43)

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, 1210);