Finite Group Databasebeta

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#11771280

• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

200 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

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, 5291);