Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C25 · Schur multiplier (H2) = C1 |
| direct product | C3×C25×C3⋊#3866 |
| unambiguous semidirect product | C3⋊(C3×C25×#3866) |
| Fitting, Hall | C32×C25×C37 ⋊ C4 |
| derived | C3×C37 ⋊ C3×C4×C25 |
| Hall | C25×C37 ⋊ C3×Dic3 |
| Hall | C32×C37 ⋊ C4×C25 |
| Hall | C32×C25 ⋊ #3866 |
| Sylow | C37 ⋊ C3×Dic3×C25 |
| Sylow | C32 ⋊ C25×#3866 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5550 |
2475 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 152);