Finite Group Databasebeta

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#30771208

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

296 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=e,b^2=f,c^2=de,e^2=g,g^2=h,b^a=bd,f^a=fh,i^a=i^66,c^b=cg,d^b=dh,i^b=i^66,f^c=fh,i^c=i^66

Conjugacy classes & character table

1912 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 84945);