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C₃×#824 #63610

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

86 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 22 points:

(1,2,3)(4,5,6)(7,16,19,9,11,22,10,17)(8,20,18,12,14,21,13,15);(5,6)(7,14,11,8)(9,12,17,15)(10,13,19,18)(16,21,22,20)

Conjugacy classes & character table

63 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 258);