Finite Group Databasebeta

?

← Prev (#13019162) Next (#13019164) →

#13019163

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=f,b^2=dfg,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,e^a=eg,i^a=i^3,d^b=dg,f^b=fg,i^b=i^2,e^c=eg,i^c=i^4,i^f=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, 1089431);