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C₂×#11036 #357592

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

Aliases

Subgroups

4502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264788);