Finite Group Databasebeta

?

← Prev (#36584227) Next (#36584229) →

#36584228

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1126 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,89|a^2=e,b^2=ef,d^2=h,e^2=h,f^2=h,b^a=be,c^a=cf,i^a=i^88,c^b=cg,e^b=eh,f^b=fh,e^c=eh,f^c=fh

Conjugacy classes & character table

2528 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 199368);