Finite Group Databasebeta

?

← Prev (#10955601) Next (#10955603) →

#10955602

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

3102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,3|a^2=h,b^2=h,c^2=fg,d^2=f,e^2=f,b^a=bf,c^a=cg,e^a=ef,i^a=i^2,d^b=df,i^c=i^2

Conjugacy classes & character table

156 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 329983);