Finite Group Databasebeta

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#30745988

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

544 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=e,b^2=f,c^2=h,d^2=g,e^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fgh,i^a=i^66,c^b=ch,d^b=dh,i^b=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, 59725);