Finite Group Databasebeta

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#1705⋊C₉ #11919331

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

90 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=bfg,d^a=df,e^a=eg,f^a=fh,g^a=gi,d^b=efhi,e^b=de,f^b=gh,g^b=fg,h^b=i,i^b=hi

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, 153342);