Finite Group Databasebeta

?

← Prev (#24983319) Next (#24983321) →

#24983320

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=d,b^2=g,c^2=fh,d^2=ef,e^2=g,f^2=h,b^a=bc,c^a=ce,e^a=eg,f^a=fg,i^a=i^42,c^b=cf,d^b=defg,e^b=eg,f^b=fh

Conjugacy classes & character table

841 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 56291);