Finite Group Databasebeta

?

← Prev (#29681410) Next (#29681412) →

#29681411

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1954 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=g,b^2=eg,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,i^a=i^60,d^b=dh,e^b=eh,f^b=fh,g^b=gh,i^b=i^60,e^c=eh,f^c=fh,g^c=gh

Conjugacy classes & character table

1384 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 170966);