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C₂×#13083 #494675

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

Aliases

Subgroups

2596 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)(9,11,16,19)(10,13)(12,14)(15,17,21,22)(18,20);(7,9,11,14,12,16,19,8)(10,15,17,20,18,21,22,13);(4,6)(7,10,12,18)(8,13,14,20)(9,15,16,21)(11,17,19,22)

Conjugacy classes & character table

74 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401871);