Finite Group Databasebeta

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#29680862

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1296 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=g,b^2=g,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eh,i^a=i^60,e^b=eh,f^b=fh,i^b=i^60,e^c=eh

Conjugacy classes & character table

1378 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 170417);