Finite Group Databasebeta

?

← Prev (#46809066) Next (#46809068) →

#46809067

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

74 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,269|a^2=d,b^2=g,c^2=ef,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^268,c^b=ce,e^b=ef,f^b=fg,h^b=h^268

Conjugacy classes & character table

8614 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 2692);