Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C49 · Schur multiplier (H2) = C2 |
| direct product | C49×C22⋊#4294 |
| unambiguous semidirect product | C22⋊(C49×#4294) |
| derived, Hall | C22×C19 ⋊ C9×C49 |
| Hall | C22×C19×C49 ⋊ C9 |
| Hall | C19×C49 ⋊ C22⋊C9 |
| Hall | C22×C49 ⋊ #4294 |
| Sylow | C19 ⋊ C22⋊C9×C49 |
| Sylow | C22 ⋊ C49×#4294 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16758 |
4116 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 54);