Finite Group Databasebeta

?

← Prev (#495390) Next (#495392) →

C₂×#13291 #495391

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

Aliases

Subgroups

778 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402587);