Finite Group Databasebeta

?

← Prev (#16779073) Next (#16779075) →

#16779074

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

636 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=e,b^2=f,d^2=g,e^2=h,f^2=h,b^a=bd,c^a=ch,d^a=dg,f^a=fg,i^a=i^5,c^b=cgh,i^b=i^8,i^e=i^12,i^f=i^12

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1085723);