Finite Group Databasebeta

?

← Prev (#14812660) Next (#14812662) →

#14812661

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

674 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,11|a^2=f,b^2=e,c^2=f,d^2=e,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^10,c^b=cg,g^b=gh,g^c=gh,i^c=i^10

Conjugacy classes & character table

206 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 228456);