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C₂×#3676 #63514

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

198 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 19 points:

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

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 162);