Finite Group Databasebeta

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#19098993

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

84 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

568 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5056, 979);