Finite Group Databasebeta

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#13099551

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

216 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,5^2|a^2=f,b^2=c,c^2=ef,d^2=ef,e^2=f,b^a=bd,c^a=ce,d^a=de,e^a=ef,g^a=g^4,h^a=h^4,d^b=df

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 1903);