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C₂×#11072 #357647

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

Aliases

Subgroups

2886 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264843);