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C₂×#11091 #357768

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

Aliases

Subgroups

2914 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264964);