Finite Group Databasebeta

?

← Prev (#28503682) Next (#28503684) →

#28503683

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=e,b^2=f,d^2=h,f^2=h,b^a=bd,d^a=dg,f^a=fh,g^a=gh,c^b=ch,e^b=egh,i^b=i^58,e^d=eh

Conjugacy classes & character table

1322 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 84562);