Finite Group Databasebeta

?

← Prev (#12980775) Next (#12980777) →

#12980776

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1870 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=h,b^2=h,c^2=h,e^2=f,g^2=h,b^a=bf,c^a=cg,g^a=gh,d^b=df,g^c=gh,i^d=i^4

Conjugacy classes & character table

146 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1051044);