Finite Group Databasebeta

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C₄₃×#544 #14582575

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

206 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 59 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43)(44,45)(46,50)(47,49)(48,51)(52,53,55,57)(54,58,59,56);(44,45,47,49)(46,48,51,50);(44,45)(46,48)(47,49)(50,51)(52,54,55,59)(53,56,57,58);(44,46)(45,48)(47,51)(49,50)

Conjugacy classes & character table

946 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2752, 225);