Finite Group Databasebeta

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#26107306

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

444 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=e,b^2=f,c^2=e,d^2=g,e^2=g,f^2=h,b^a=bd,d^a=dg,f^a=fgh,i^a=i^46,c^b=ch,d^b=dh,i^b=i^46,i^c=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, 60596);