Finite Group Databasebeta

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#13136729

• solvable

Aliases

No aliases for this group.

Splittings

Subgroups

111 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,3^3|a^2=c,b^2=c,c^2=f,d^2=ef,b^a=bcdef,d^a=de,g^a=g^2h^2i,h^a=g^2h,d^b=de,g^b=gh^2i^2,h^b=g^2h^2,g^c=g^2i,h^c=h^2i^2,h^g=hi

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 2792);