Finite Group Databasebeta

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#1308⋊C₉ #11919307

• solvable

Aliases

Splittings

Subgroups

57 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3^2,2^7|a^3=b,c^2=f,d^2=g,f^2=hi,g^2=h,c^a=cd,d^a=ceghi,e^a=eh,f^a=efgi,g^a=fi,h^a=hi,i^a=h,d^c=de,e^c=eh,g^c=gi,e^d=ei,f^d=fh

Conjugacy classes & character table

42 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153318);