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C₂×C₃×Dic₁₄ #66705

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

(3,4,5)(6,7,9,11,12,10,8)(13,15,16,20)(14,17,18,19);(1,2)(7,8)(9,10)(11,12)(13,14,16,18)(15,19,20,17);(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(336, 174);