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C₂×C₃×#681 #91638

• 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:

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

Conjugacy classes & character table

156 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 714);