Finite Group Databasebeta

?

← Prev (#60530) Next (#60532) →

C₂×#3104 #60531

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

Aliases

Subgroups

1069 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 53519);