Finite Group Databasebeta

?

← Prev (#13166202) Next (#13166204) →

#13166203

• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,3^3|a^2=c,b^2=e,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^2,h^a=h^2i^2,i^a=h^2,h^c=h^2i,i^c=hi,h^d=h^2,i^d=i^2

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 32266);