Finite Group Databasebeta

?

← Prev (#6464224) Next (#6464226) →

C₂×#29477 #6464225

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

Aliases

Subgroups

2636 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 26 points:

(1,2);(3,4)(5,9)(6,7)(8,10)(11,12)(13,17)(14,16)(15,18)(19,20,22,25,21,23,26,24);(4,7)(8,9)(11,13)(12,15)(14,18)(16,17)(20,23)(24,25);(13,18)(15,17)(20,24)(22,26)(23,25);(3,5,6,10)(4,8,7,9)(12,16)(15,17)

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6371421);