Finite Group Databasebeta

?

← Prev (#28405601) Next (#28405603) →

#28405602

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,113|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^98,d^b=dg,h^b=h^112,h^d=h^112

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 19538);