Finite Group Databasebeta

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#11772679

• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

114 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

108 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 6690);