Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C32×#16814857 |
| Fitting, Hall | C32×C25×C37 ⋊ C4 |
| derived, Hall | C25×C37 ⋊ C32×C4 |
| Hall | C32×C37 ⋊ Dic25 |
| Hall | C32×C25 ⋊ #3866 |
| Sylow | C37 ⋊ C32×Dic25 |
| Sylow | C25 ⋊ C32×#3866 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8325 |
2277 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 150);