Finite Group Databasebeta

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#11782566

• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

66 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 16577);