Finite Group Databasebeta

?

← Prev (#494273) Next (#494275) →

C₂×#12933 #494274

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

Aliases

Subgroups

1028 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 401470);