Finite Group Databasebeta

?

← Prev (#30899706) Next (#30899708) →

#30899707

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

932 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=h,b^2=f,d^2=h,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^66,c^b=cg,e^b=eh,e^d=eh,i^d=i^66

Conjugacy classes & character table

1108 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 213444);