Finite Group Databasebeta

?

← Prev (#18076588) Next (#18076590) →

#18076589

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

702 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,19|a^2=f,b^2=f,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^18,d^b=dg,e^b=eh,i^b=i^18,d^c=dh,e^c=eg

Conjugacy classes & character table

388 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4864, 63618);