Finite Group Databasebeta

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#11788014

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

729 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=f,b^2=df,f^2=g,b^a=bd,c^a=ce,e^a=eg,h^a=h^2,i^a=h^2i,e^b=eg,h^b=h^2,i^b=i^2,d^c=dg,f^c=fg,i^c=hi^2

Conjugacy classes & character table

102 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 22025);