Finite Group Databasebeta

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#29651789

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

586 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=f,b^2=g,c^2=fg,e^2=g,f^2=h,b^a=be,e^a=eg,d^b=dh,e^b=eg,i^b=i^60,d^c=dh,i^c=i^60

Conjugacy classes & character table

1750 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 141344);