Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | AΣL(1,𝔽16)×Dic47 |
| Sylow | C47 ⋊ C4×AΣL(1,𝔽16) |
844 conjugacy classes of subgroups.
650 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 84702);