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C₃×#6392 #10620575

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

72 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

186 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(672, 157);