Finite Group Databasebeta

?

← Prev (#36574696) Next (#36574698) →

#36574697

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1170 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,89|a^2=g,b^2=g,d^2=h,e^2=h,b^a=be,c^a=cf,e^a=eh,d^b=de,e^b=eh,i^b=i^88,e^d=eh,i^d=i^88

Conjugacy classes & character table

1994 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 189837);