Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C3⋊#16814855 |
| unambiguous semidirect product | C3⋊(C3×#16814855) |
| Fitting, Hall | C32×C25×C37 ⋊ C4 |
| derived | C3×C25×C37 ⋊ C3×C4 |
| Hall | C25×C37 ⋊ C3×Dic3 |
| Hall | C32×C37 ⋊ #1035 |
| Hall | C32×C25 ⋊ #3866 |
| Sylow | C37 ⋊ C3×C3⋊#1035 |
| Sylow | C25 ⋊ C3×C3⋊#3866 |
| Sylow | C32 ⋊ #16814855 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5550 |
2097 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 156);