Finite Group DatabasebetaFinite Group Databasebeta| order | 32310 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C359 · Schur multiplier (H2) = C1 |
| direct product | C9×D5×C359 |
| unambiguous semidirect product | C5⋊(C2×C9×C359) |
| Fitting, Hall | C5×C9×C359 ⋊ C2 |
| derived, Sylow | C5 ⋊ C2×C9×C359 |
| Hall | C5×C359 ⋊ C2×C9 |
| Hall | C5×C9 ⋊ C2×C359 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16155 |
12924 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32310, 3);