Finite Group Databasebeta

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#33238604

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

806 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=e,b^2=e,c^2=fh,d^2=g,f^2=h,b^a=be,c^a=cf,d^a=dg,f^a=fh,i^a=i^72,d^b=dh,i^d=i^72

Conjugacy classes & character table

1636 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 322188);