Finite Group Databasebeta

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#11772022

• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

214 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

51 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 6033);