Finite Group Databasebeta

?

← Prev (#498937) Next (#498939) →

C₂×#13354 #498938

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

Aliases

Subgroups

2125 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 406134);