Finite Group Databasebeta

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#16778214

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=d,b^2=c,c^2=h,d^2=e,e^2=f,f^2=g,g^2=h,b^a=bc,c^a=ch,i^a=i^8,i^b=i^12,i^d=i^12

Conjugacy classes & character table

304 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1084863);