Finite Group Databasebeta

?

← Prev (#25101947) Next (#25101949) →

#25101948

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1222 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=g,b^2=eg,c^2=h,d^2=f,b^a=be,c^a=cf,e^a=eh,i^a=i^42,e^b=eh,g^b=gh,i^b=i^42

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 174919);