Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C37 · Schur multiplier (H2) = C1 |
| direct product | C37×C9⋊#1042 |
| unambiguous semidirect product | C9⋊(C37×#1042) |
| Fitting, Hall | C52×C9×C37 ⋊ C4 |
| derived, Hall | C52×C9 ⋊ C4×C37 |
| Hall | C52×C37 ⋊ Dic9 |
| Hall | C9×C37 ⋊ #1042 |
| Sylow | C52 ⋊ Dic9×C37 |
| Sylow | C9 ⋊ C37×#1042 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6660 |
3441 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 311);