Finite Group Databasebeta

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#1712⋊C₉ #11919335

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2,3^2,2^6|b^3=c,d^2=f,e^2=g,f^2=h,g^2=i,b^a=bghi,d^a=dfh,e^a=egi,f^a=fh,g^a=gi,d^b=de,e^b=dghi,f^b=fg,g^b=fi,h^b=hi,i^b=h

Conjugacy classes & character table

54 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153346);