Finite Group Databasebeta

?

← Prev (#16848019) Next (#16848021) →

#16848020

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,31|c^2=g,d^2=ef,e^2=fg,f^2=g,b^a=bd,d^a=de,e^a=ef,f^a=fg,h^a=h^30,d^b=de,e^b=ef,f^b=fg,h^b=h^30

Conjugacy classes & character table

998 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 6819);