Finite Group Databasebeta

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C₂₃×#2549 #15670168

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

544 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)(28,29)(30,34)(31,32)(33,35)(36,37,40,41)(38,43,42,39);(24,25,26,27)(29,32)(33,34)(37,41)(38,42);(24,25)(26,27)(28,29)(30,33)(31,32)(34,35)(36,38,40,42)(37,39,41,43);(28,30)(29,33)(31,35)(32,34)(36,39)(37,42)(38,41)(40,43)

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, 1281);