Finite Group Databasebeta

?

← Prev (#34295182) Next (#34295184) →

#34295183

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

874 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,79|a^2=g,b^2=e,d^2=gh,e^2=h,f^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,i^a=i^78,d^b=dh,f^c=fh,i^d=i^78

Conjugacy classes & character table

1306 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 176482);