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C₂×#7907 #180996

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

Aliases

Subgroups

3714 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 88192);