Finite Group DatabasebetaFinite Group Databasebeta| order | 33930 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C13×C29 · Schur multiplier (H2) = C1 |
| direct product | C9×D5×C13×C29 |
| unambiguous semidirect product | C5⋊(C2×C9×C13×C29) |
| Fitting, Hall | C5×C9×C13×C29 ⋊ C2 |
| derived, Sylow | C5 ⋊ C2×C9×C13×C29 |
| Hall | C5×C13×C29 ⋊ C2×C9 |
| Hall | C5×C9×C29 ⋊ C2×C13 |
| Hall | C5×C9×C13 ⋊ C2×C29 |
| Hall | C5×C29 ⋊ C2×C9×C13 |
| Hall | C5×C13 ⋊ C2×C9×C29 |
| Hall | C5×C9 ⋊ C2×C13×C29 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16965 |
13572 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33930, 6);