Finite Group Databasebeta

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#19098367

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

58 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

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, 353);