Finite Group Databasebeta

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#30858089

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

822 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=g,b^2=g,c^2=e,f^2=h,g^2=h,b^a=be,c^a=cf,f^a=fh,d^b=dh,i^b=i^66,f^c=fh

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, 171826);