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C₂×#13025 #494532

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

Aliases

Subgroups

1458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(1,2);(4,6)(7,8,11,16,14,21,22,19,13,17,10,15,12,9,18,20);(3,4,5,6)(7,9,13,21)(8,14,17,12)(10,16,11,15)(18,20,22,19);(7,8)(9,14)(10,20)(11,19)(12,21)(13,17)(15,18)(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, 401728);