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C₂×#10954 #354123

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

Aliases

Subgroups

3002 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 261319);