Finite Group Databasebeta

?

← Prev (#10585933) Next (#10585935) →

C₂²×#3480 #10585934

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

Aliases

Subgroups

37610 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 7 generators on 20 points:

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

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 10493130);