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C₂×#6383 #89737

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 21 points:

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 499);