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C₂×#4559 #71999

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

388 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(3,4,5)(6,8,10,17,11,18,9,16)(7,12,13,20,14,15,19,21);(4,5)(6,7,9,13,11,14,10,19)(8,15,16,21,18,12,17,20);(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, 4575);