Finite Group Databasebeta

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#25973557

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

2132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=f,e^2=h,g^2=h,b^a=bf,c^a=cg,d^a=dh,g^a=gh,c^b=ch,d^b=df,i^b=i^42,g^c=gh,i^c=i^42

Conjugacy classes & character table

856 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1046528);