Finite Group Databasebeta

?

← Prev (#233345) Next (#233347) →

C₂×#10305 #233346

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

Aliases

Subgroups

2336 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 140542);