Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×#20245981 |
| Fitting | C23×C4⋊C4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#2311 |
5822 conjugacy classes of subgroups.
1928 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 328136);