Finite Group Databasebeta

?

← Prev (#16950913) Next (#16950915) →

#16950914

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

490 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=f,b^2=f,d^2=gh,e^2=gh,g^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,g^a=gh,d^b=dg,e^b=eg,g^b=gh,i^b=i^16,d^c=dg,e^c=eg,g^c=gh

Conjugacy classes & character table

410 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 86158);