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C₂×#10959 #354050

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

Aliases

Subgroups

3074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261246);