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C₂×#4533 #71588

• 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)(7,11,13,18)(9,16)(12,17,19,21)(14,20);(4,5)(6,7,8,12,10,13,15,19)(9,11,14,17,16,18,20,21);(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, 4164);