Finite Group Databasebeta

?

← Prev (#13135866) Next (#13135868) →

#13135867

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

160 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,3^3|a^2=f,c^2=de,d^2=ef,e^2=f,h^3=i,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^2,h^a=h^2i^2,i^a=i^2,c^b=cd,d^b=de,e^b=ef

Conjugacy classes & character table

162 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 1930);