Finite Group Databasebeta

?

← Prev (#26232174) Next (#26232176) →

#26232175

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1380 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=g,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eh,i^a=i^46,d^b=de,e^b=eh,e^d=eh

Conjugacy classes & character table

1358 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 185465);