Finite Group Databasebeta

?

← Prev (#7665920) Next (#7665922) →

C₂×#59016 #7665921

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

Aliases

Subgroups

9630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 22 points:

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

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, 7573117);