Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C47×#1296 ⋊ C2 |
| Sylow | C47 ⋊ #10484 |
490 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=gh,c^2=d,d^2=g,e^2=h,f^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eh,f^a=fg,i^a=i^46,c^b=cf,d^b=dg,e^b=eg,f^b=fg,i^b=i^46,e^c=egh,i^c=i^46920 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 73445);