Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C37 · Schur multiplier (H2) = C3 |
| direct product | C37×C3⋊(C3⋊#1035) |
| unambiguous semidirect product | C3⋊(C37×C3⋊#1035) |
| Fitting, Hall | C32×C25×C37 ⋊ C4 |
| derived, Hall | C32×C25 ⋊ C4×C37 |
| Hall | C25×C37 ⋊ C3⋊Dic3 |
| Hall | C32×C37 ⋊ #1035 |
| Sylow | C25 ⋊ C3⋊Dic3×C37 |
| Sylow | C32 ⋊ C37×#1035 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8325 |
2442 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 166);