Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C8 |
| direct product | D47×#1716 |
| Fitting | C47×#1716 ⋊ C2 |
| Sylow | C47 ⋊ C2×#1716 |
798 conjugacy classes of subgroups.
650 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 157291);