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C₂×#10758 #353323

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

Aliases

Subgroups

4462 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)(9,16,18,13)(10,12)(11,15)(14,19)(17,21,22,20);(8,12,15,14)(13,20,16,21);(4,6)(7,9)(8,13)(10,17)(11,18)(12,20)(14,21)(15,16)(19,22)

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 260519);