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C₂×#10894 #353913

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

Aliases

Subgroups

2086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261109);