Finite Group Databasebeta

?

← Prev (#28589118) Next (#28589120) →

#28589119

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=g,b^2=e,c^2=f,e^2=h,b^a=be,c^a=cf,e^a=eh,i^a=i^58,d^b=dh,i^b=i^58

Conjugacy classes & character table

1688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 169998);