Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#2155 ⋊ C2 |
| Sylow | C47 ⋊ #33638 |
514 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=eg,b^2=e,e^2=h,f^2=g,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fg,g^a=gh,i^a=i^46,d^b=dh,i^b=i^46,f^c=fgh,g^c=gh,i^c=i^46776 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 324321);