Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#1270 ⋊ C2 |
| Sylow | C47 ⋊ #7578 |
708 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,c^2=g,d^2=g,e^2=h,b^a=bd,c^a=cf,d^a=df,d^b=dg,e^b=efg,i^c=i^46938 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 57577);