Finite Group Databasebeta

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#13031199

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

974 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=f,c^2=g,d^2=gh,e^2=h,f^2=gh,b^a=be,c^a=ch,d^a=dg,e^a=eg,i^a=i^2,e^b=eh,f^b=fgh,i^c=i^4,i^d=i^4,i^f=i^4

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1101467);