Finite Group Databasebeta

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#26221940

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1520 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=g,b^2=h,d^2=g,e^2=h,b^a=be,c^a=cf,e^a=eh,d^b=dh,e^b=eh,i^c=i^46,i^d=i^46

Conjugacy classes & character table

938 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 175230);