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C₂×#13142 #494885

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

Aliases

Subgroups

902 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402081);