Finite Group Databasebeta

?

← Prev (#24986396) Next (#24986398) →

#24986397

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

606 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=e,b^2=f,c^2=h,d^2=gh,f^2=g,b^a=bd,d^a=dg,f^a=fgh,i^a=i^42,c^b=cg,e^b=eh

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 59368);