Finite Group Databasebeta

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C₂×C₃×#208 #64044

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

163 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 16 points:

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

Conjugacy classes & character table

108 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 692);