Finite Group Databasebeta

?

← Prev (#13136203) Next (#13136205) →

#564⋊C₂₇ #13136204

• solvable
• monomial

Aliases

Splittings

Subgroups

110 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3^3,2^6|a^3=b,b^3=c,d^2=h,e^2=hi,f^2=hi,g^2=i,d^a=de,e^a=dhi,f^a=fg,g^a=fi,h^a=i,i^a=hi,f^d=fh,g^d=gi,f^e=fi,g^e=ghi

Conjugacy classes & character table

81 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 2267);