Finite Group Databasebeta

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#11772202

• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

73 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

48 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 6213);