Finite Group Databasebeta

?

← Prev (#26103454) Next (#26103456) →

#26103455

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

208 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=d,b^2=e,c^2=f,d^2=h,e^2=fg,g^2=h,b^a=bc,c^a=cf,e^a=efg,g^a=gh,i^a=i^46,c^b=cg,f^b=fh,g^b=gh,i^b=i^46

Conjugacy classes & character table

1334 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 56745);