Finite Group Databasebeta

?

← Prev (#17948932) Next (#17948934) →

#17948933

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

262 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=d,b^2=e,c^2=fh,e^2=fg,f^2=h,b^a=bc,c^a=cf,e^a=efgh,f^a=fh,c^b=cg,i^b=i^13,i^e=i^16

Conjugacy classes & character table

170 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1084177);