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C₂×#4033 #65830

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1168);