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C₃×#6408 #10620591

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

104 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 18 points:

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

Conjugacy classes & character table

123 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(672, 173);