Finite Group Databasebeta

?

← Prev (#11773409) Next (#11773411) →

#11773410

• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

894 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=g,b^2=e,c^2=d,b^a=bd,c^a=ce,h^a=h^2i^2,i^a=h^2i,c^b=cf,h^b=hi,i^b=hi^2,i^c=hi^2,h^e=h^2,i^e=i^2,h^f=h^2,i^f=i^2,h^g=h^2,i^g=i^2

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 7421);