Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C22 |
| direct product | C3×#10587283 |
| Fitting | C32×Q8×C11 ⋊ C2 |
| Hall | C32×C11 ⋊ #41 |
| Sylow | C11 ⋊ C3×#239 |
| Sylow | C32 ⋊ #4343 |
172 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 625);