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C₂×#61055 #10576066

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

Aliases

Subgroups

10694 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 22 points:

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 10483262);