Finite Group Databasebeta

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#13033985

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

966 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=f,b^2=g,c^2=e,f^2=h,g^2=h,b^a=be,c^a=ch,d^a=de,i^a=i^3,c^b=ce,d^b=dh,i^b=i^2,i^d=i^4,i^f=i^4,i^g=i^4

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1104253);