Finite Group DatabasebetaFinite Group Databasebeta| order | 33570 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×D373 |
| Fitting, Hall | C5×C9×C373 ⋊ C2 |
| derived, Sylow | C373 ⋊ C2×C5×C9 |
| Hall | C9×C373 ⋊ C2×C5 |
| Hall | C5×C373 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16785 |
8460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33570, 3);