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C₂×#13087 #494693

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

Aliases

Subgroups

2602 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 401889);