Finite Group Databasebeta

?

← Prev (#28475604) Next (#28475606) →

#28475605

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

282 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=d,b^2=e,c^2=fh,d^2=g,e^2=fg,f^2=h,b^a=bc,c^a=cf,e^a=efh,f^a=fh,i^a=i^58,i^b=i^58

Conjugacy classes & character table

1712 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 56484);