Finite Group Databasebeta

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#11784125

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=e,b^2=f,c^2=e,d^2=g,e^2=g,h^3=i,b^a=bd,d^a=dg,f^a=fg,h^a=h^2i^2,i^a=i^2,c^b=cg,h^b=h^2i^2,i^b=i^2,h^c=h^2i^2,i^c=i^2

Conjugacy classes & character table

156 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 18136);