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C₂×#11034 #357589

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

Aliases

Subgroups

4830 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264785);