Finite Group Databasebeta

?

← Prev (#13022387) Next (#13022389) →

#13022388

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

926 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=f,b^2=g,c^2=ef,f^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,g^a=gh,i^a=i^4,d^b=dh,e^b=eh,f^b=fh,i^b=i^2,d^c=dh,e^c=eh,f^c=fh,i^g=i^4

Conjugacy classes & character table

86 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1092656);