Finite Group Databasebeta

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#29743477

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

732 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

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, 233032);