Finite Group Databasebeta

?

← Prev (#28310486) Next (#28310488) →

#28310487

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

482 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,53|a^2=e,b^2=f,c^2=e,d^2=h,f^2=g,g^2=h,b^a=bd,d^a=dh,f^a=fh,c^b=ch,i^b=i^30,i^f=i^52

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1095963);