Finite Group Databasebeta

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#30614824

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

778 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=f,b^2=g,c^2=ef,d^2=e,f^2=h,b^a=be,c^a=ch,d^a=de,i^a=i^11,c^b=ceh,d^b=dh,i^c=i^11,i^f=i^60

Conjugacy classes & character table

496 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1104379);