Finite Group Databasebeta

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C₂₃×#2519 #15670138

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

454 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)(25,26)(29,32)(33,35)(36,37,40,39)(38,42,43,41);(24,25,27,26)(38,43)(41,42);(24,25,27,26)(28,29)(30,33)(31,32)(34,35)(36,38)(37,41)(39,42)(40,43);(24,26,27,25)(28,30,31,34)(29,33,32,35)(36,39,40,37)(38,42,43,41)

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, 1251);