Finite Group Databasebeta

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#30606725

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

318 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=e,b^2=f,c^2=de,d^2=h,e^2=g,g^2=h,b^a=bd,f^a=fh,i^a=i^50,c^b=cg,e^b=eh,i^b=i^60,f^c=fh,i^c=i^11,i^e=i^60

Conjugacy classes & character table

664 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1096280);