Finite Group Databasebeta

?

← Prev (#30765075) Next (#30765077) →

#30765076

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

392 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=e,c^2=g,d^2=h,e^2=g,g^2=h,b^a=bd,d^a=df,i^a=i^66,c^b=ch,d^b=dh,e^b=efh

Conjugacy classes & character table

1912 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 78813);