Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C49×(C3⋊D3)⋊D19 |
| unambiguous semidirect product | (C3⋊D3)⋊(D19×C49) |
| unambiguous semidirect product | D57⋊(D3×C49) |
| Fitting, Hall | C32×C19×C49 ⋊ C22 |
| derived, Hall | C32×C19 ⋊ C22×C49 |
| Hall | C19×C49 ⋊ D32 |
| Hall | C32×C49 ⋊ C2×D19 |
| Sylow | C19 ⋊ D32×C49 |
| Sylow | C32 ⋊ C2×D19×C49 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5586 |
3087 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 228);