Finite Group Databasebeta

?

← Prev (#11772199) Next (#11772201) →

#11772200

• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

106 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,i^a=hi^2,d^b=dg,h^b=hi,i^b=hi^2,h^c=h^2,i^c=i^2

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 6211);