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C₂×#10751 #353441

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

Aliases

Subgroups

4286 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)(9,16)(10,19)(11,14)(12,15)(13,17)(18,22)(20,21);(7,9,11,17,12,18,10,20)(8,13,14,22,15,21,19,16);(7,8)(9,13)(10,19)(11,14)(12,15)(16,20)(17,22)(18,21)

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 260637);