Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#20245390 |
| Fitting | C2×C47×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C47 ⋊ C2×#2199 |
1392 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 323598);