Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#20245373 |
| Fitting | C2×C47×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C47 ⋊ C2×#2196 |
1956 conjugacy classes of subgroups.
638 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 323570);