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C₂×#4982 #82165

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

692 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

(3,4,5)(6,7)(8,9)(10,12,13,11)(14,16,17,21)(15,18,19,20);(1,2)(10,11)(12,13)(14,15,17,19)(16,20,21,18);(4,5)(7,9)(10,11,13,12);(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(384, 14741);