Finite Group Databasebeta

?

← Prev (#494478) Next (#494480) →

C₂×#13007 #494479

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

Aliases

Subgroups

1406 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 34 points:

(1,2);(3,4,9,15,8,14,25,13,11,16,24,27,10,5,7,18)(6,17,21,32,26,12,23,30,22,33,28,29,20,31,19,34);(3,5,8,16,11,14,10,4)(6,17,26,31,22,33,20,12)(7,18,9,27,25,13,24,15)(19,32,21,34,23,29,28,30);(3,6)(4,12)(5,17)(7,23)(8,26)(9,28)(10,20)(11,22)(13,32)(14,33)(15,34)(16,31)(18,29)(19,25)(21,24)(27,30)

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, 401675);