Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×D264 |
| Fitting | C32×C8×C11 ⋊ C2 |
| Hall | C32×C11 ⋊ D8 |
| Sylow | C11 ⋊ C3×D24 |
| Sylow | C32 ⋊ D88 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
405 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 311);