Finite Group Databasebeta

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C₃×#3744 #88835

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 17 points:

(1,5,7,2,4,8,3,6)(9,10,11)(15,16,17);(2,5)(3,7)(6,8)(13,14)(16,17);(12,13,14)

Conjugacy classes & character table

117 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 482);