Finite Group Databasebeta

?

← Prev (#36368468) Next (#36368470) →

#36368469

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,173|a^2=d,b^2=e,d^2=g,e^2=f,b^a=bc,c^a=cf,e^a=eg,h^a=h^93,c^b=cg,d^b=df,h^b=h^80,h^d=h^172,h^e=h^172

Conjugacy classes & character table

886 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 19416);