Finite Group Databasebeta

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#26369698

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

642 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=f,c^2=f,e^2=gh,f^2=h,g^2=h,b^a=be,e^a=eg,g^a=gh,i^a=i^46,e^b=eg,g^b=gh,d^c=dh,i^c=i^46

Conjugacy classes & character table

800 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322988);