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C₂×#10901 #353931

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

Aliases

Subgroups

2074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261127);