Finite Group Databasebeta

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#13161485

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

722 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,3^3|b^2=d,c^2=def,d^2=f,e^2=f,b^a=be,c^a=cdef,d^a=df,e^a=ef,g^a=g^2,h^a=h^2,g^b=g^2,i^b=i^2

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, 27548);