Finite Group Databasebeta

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#25003055

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1230 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=f,b^2=g,c^2=efh,d^2=h,e^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dh,i^a=i^42,d^b=dh,i^b=i^42,e^c=eh,f^c=fh,i^c=i^42

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 76026);