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C₂×#13535 #499542

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

898 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

(1,2);(7,8,13,21,19,22,9,15,12,16,18,14,11,17,10,20);(3,4)(5,6)(8,14,16,21)(9,13)(10,18)(11,19)(15,17,20,22);(4,6)(8,14)(9,18)(10,13)(11,19)(15,22)(16,21)(17,20)

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 406738);