Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C37 · Schur multiplier (H2) = C2 |
| direct product | C9×D52×C37 |
| unambiguous semidirect product | (C5×D5)⋊(C2×C9×C37) |
| Fitting, Hall | C52×C9×C37 ⋊ C22 |
| derived, Sylow | C52 ⋊ C22×C9×C37 |
| Hall | C52×C37 ⋊ C22×C9 |
| Hall | C52×C9 ⋊ C22×C37 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3330 |
5328 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 289);