Finite Group Databasebeta

?

← Prev (#16940905) Next (#16940907) →

#16940906

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=g,b^2=h,d^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,i^a=i^16,c^b=cf,d^b=dh,i^b=i^16,g^c=gh

Conjugacy classes & character table

398 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 76150);