Finite Group Databasebeta

?

← Prev (#36720250) Next (#36720252) →

#36720251

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

2576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,89|a^2=h,b^2=f,c^2=h,e^2=h,b^a=bf,c^a=cg,d^a=dg,e^a=ef,i^a=i^88,c^b=cg,d^b=df,i^c=i^88,i^e=i^88

Conjugacy classes & character table

1748 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 335391);