Finite Group Databasebeta

?

← Prev (#30749997) Next (#30749999) →

#30749998

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=f,b^2=f,c^2=g,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^66,d^b=dg,e^b=eh,d^c=dh,e^c=eh

Conjugacy classes & character table

1702 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 63735);