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C₂×#10903 #353935

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

Aliases

Subgroups

2118 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261131);