Finite Group Databasebeta

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#19098741

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,79|a^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^78,d^b=df,e^b=ef,d^c=df

Conjugacy classes & character table

679 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5056, 727);