Finite Group Databasebeta

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#11867836

• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

754 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,i^a=hi^2,d^b=dg,h^b=hi,i^b=hi^2,d^c=dg,h^e=h^2,i^e=i^2

Conjugacy classes & character table

60 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 101847);