Finite Group Databasebeta

?

← Prev (#10703101) Next (#10703103) →

#10703102

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

870 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,3|a^2=g,b^2=dh,c^2=d,e^2=h,b^a=bd,c^a=ce,e^a=eh,i^a=i^2,c^b=cf,e^c=eh

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 77483);