Finite Group Databasebeta

?

← Prev (#44401609) Next (#44401611) →

#44401610

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

172 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,227|a^2=e,c^2=eg,d^2=fg,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,h^a=h^226,d^b=df,f^b=fg,h^c=h^226

Conjugacy classes & character table

2518 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29056, 6386);