Finite Group Databasebeta

?

← Prev (#15758190) Next (#15758192) →

#15758191

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

522 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=f,b^2=df,c^2=gh,d^2=g,e^2=gh,f^2=g,b^a=bd,c^a=ce,e^a=eh,i^a=i^12,d^b=dg,e^b=eg,f^b=fg,i^b=i^12,d^c=dg,e^c=egh,f^c=fg

Conjugacy classes & character table

316 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 64840);