Finite Group Databasebeta

?

← Prev (#16834397) Next (#16834399) →

#16834398

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,29|a^2=d,b^2=e,d^2=g,e^2=f,b^a=bc,c^a=cf,e^a=eg,h^a=h^17,c^b=cg,d^b=df,h^b=h^12,h^d=h^28,h^e=h^28

Conjugacy classes & character table

166 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 19416);