Finite Group Databasebeta

?

← Prev (#18090948) Next (#18090950) →

#18090949

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

658 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,19|a^2=g,b^2=e,c^2=d,d^2=h,f^2=h,b^a=bd,c^a=ce,i^a=i^18,c^b=cf,d^b=dh,f^b=fh,g^b=gh,i^b=i^18

Conjugacy classes & character table

568 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4864, 77978);