Finite Group Databasebeta

?

← Prev (#28495228) Next (#28495230) →

#28495229

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=g,c^2=h,d^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,c^b=cf,d^b=dh,d^c=dh,i^c=i^58

Conjugacy classes & character table

1328 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 76108);