Finite Group Databasebeta

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#16780000

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

564 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=e,b^2=f,c^2=g,d^2=g,e^2=h,f^2=g,b^a=bd,d^a=dg,f^a=fgh,i^a=i^8,d^b=dh,i^e=i^12

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1086649);