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C₂×#9659 #204259

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

Aliases

Subgroups

1622 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 111455);