Finite Group Databasebeta

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#11807640

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

768 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,3^2|a^2=g,c^2=e,h^3=i,b^a=be,c^a=cf,d^a=def,h^a=h^2i^2,i^a=i^2,c^b=cef,d^b=de,h^c=h^2i^2,i^c=i^2

Conjugacy classes & character table

150 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 41651);