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C₂×#10895 #353915

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

Aliases

Subgroups

2206 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 261111);