Finite Group Databasebeta

?

← Prev (#16786471) Next (#16786473) →

#16786472

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

532 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=g,b^2=de,c^2=d,g^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,i^a=i^8,c^b=cf,d^b=dh,e^b=eh,f^b=fh,g^b=gh,e^c=eh,f^c=fh,i^g=i^12

Conjugacy classes & character table

112 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1093121);