Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×(C5⋊D5)⋊D37 |
| Fitting, Hall | C52×C9×C37 ⋊ C22 |
| derived, Hall | C52×C37 ⋊ C22×C9 |
| Hall | C9×C37 ⋊ D52 |
| Hall | C52×C9 ⋊ C2×D37 |
| Sylow | C37 ⋊ C9×D52 |
| Sylow | C52 ⋊ C2×C9×D37 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3330 |
2412 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 291);