Finite Group Databasebeta

?

← Prev (#17955857) Next (#17955859) →

#17955858

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

306 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=f,b^2=f,c^2=e,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^4,d^b=dg,i^b=i^13,i^c=i^16,i^f=i^16

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1091102);