Finite Group Databasebeta

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#13168661

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1160 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

105 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 34724);