Finite Group Databasebeta

?

← Prev (#181281) Next (#181283) →

C₂×#7995 #181282

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

Aliases

Subgroups

1472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 88478);