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C₂×#11030 #357584

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

Aliases

Subgroups

4974 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)(9,16)(10,12,20,14)(13,19)(17,21)(18,22);(4,6)(8,12)(9,17)(10,20)(14,15)(18,19)(21,22);(7,9)(8,13)(10,18)(11,19)(12,21)(14,22)(15,16)(17,20)

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, 264780);