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C₂×C₃×#687 #91650

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

136 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

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

Conjugacy classes & character table

102 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 726);