Finite Group Databasebeta

?

← Prev (#29598034) Next (#29598036) →

#29598035

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

284 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=f,b^2=f,c^2=e,d^2=h,e^2=h,f^2=g,g^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,d^b=dh,i^c=i^60

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, 87590);