Finite Group Databasebeta

?

← Prev (#7622961) Next (#7622963) →

C₂²×#2220 #7622962

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

Aliases

Subgroups

2194 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 24 points:

(1,2);(3,4);(5,6)(7,8)(10,14)(11,18)(12,19)(15,20)(16,21)(17,24)(22,23);(9,10,15,24,12,17,11,14,13,16,18,23,19,22,20,21);(6,8)(10,16)(14,21)(17,22)(23,24)

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, 7530158);