Finite Group Databasebeta

?

← Prev (#46838234) Next (#46838236) →

#46838235

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,271|a^2=e,b^2=g,c^2=e,d^2=fg,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,h^a=h^270,d^b=df,f^b=fg,h^c=h^270

Conjugacy classes & character table

3002 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34688, 6381);