Finite Group DatabasebetaFinite Group Databasebeta| order | 32058 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C9×C13×D137 |
| unambiguous semidirect product | C137⋊(C2×C9×C13) |
| Fitting, Hall | C9×C13×C137 ⋊ C2 |
| derived, Sylow | C137 ⋊ C2×C9×C13 |
| Hall | C13×C137 ⋊ C2×C9 |
| Hall | C9×C137 ⋊ C2×C13 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16029 |
8190 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32058, 3);