Finite Group Databasebeta

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#35319825

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

318 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,83|a^2=e,b^2=f,c^2=de,d^2=gh,e^2=g,g^2=h,b^a=bd,c^a=cg,d^a=dh,d^b=dg,e^b=egh,g^b=gh,i^b=i^82,d^c=dh,e^c=eh,i^c=i^82

Conjugacy classes & character table

1358 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 84989);