Finite Group Databasebeta

?

← Prev (#35303345) Next (#35303347) →

#35303346

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,83|a^2=f,b^2=dfg,c^2=e,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^82,c^b=ch,d^b=dg,f^b=fg,i^b=i^82

Conjugacy classes & character table

2348 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 68510);