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C₂×#11039 #357525

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

Aliases

Subgroups

4474 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264721);