Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×AΣL(1,𝔽16)×D47 |
| Fitting | C2×C47×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C47 ⋊ C22×AΣL(1,𝔽16) |
2774 conjugacy classes of subgroups.
650 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 322277);