Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#1698 ⋊ C2 |
| Sylow | C47 ⋊ #19790 |
626 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=gh,b^2=gh,e^2=g,f^2=h,b^a=be,c^a=cf,e^a=eg,f^a=fh,i^a=i^46,d^b=de,e^b=eg,i^b=i^46,f^c=fh,i^c=i^46,e^d=eg,i^d=i^46569 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 159447);