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C₂×#11390 #358782

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

Aliases

Subgroups

4578 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 265978);