Finite Group Databasebeta

?

← Prev (#7501703) Next (#7501705) →

C₂×#30753 #7501704

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

Aliases

Subgroups

3102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7408900);