Finite Group Databasebeta

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#26133407

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

494 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=f,b^2=dfg,d^2=gh,e^2=g,f^2=gh,g^2=h,b^a=bd,c^a=ce,i^a=i^46,d^b=dg,e^b=egh,f^b=fg,g^b=gh,i^b=i^46,d^c=dgh,e^c=egh,f^c=fgh,g^c=gh

Conjugacy classes & character table

782 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 86697);