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C₂×#13261 #495269

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

Aliases

Subgroups

1610 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402465);