Finite Group Databasebeta

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#29575915

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

516 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=f,b^2=dfgh,c^2=h,d^2=gh,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^60,d^b=dh,e^b=eg,f^b=fh,i^b=i^60,d^c=dg,e^c=eg,f^c=fg

Conjugacy classes & character table

1003 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 65470);