Finite Group Databasebeta

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#11771157

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

222 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=d,b^2=e,c^2=f,d^2=g,e^2=f,h^3=i,b^a=bc,c^a=cf,e^a=efg,h^a=h^2i^2,i^a=i^2,c^b=cg

Conjugacy classes & character table

198 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 5168);