Finite Group DatabasebetaFinite Group Databasebeta| order | 34164 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C73 · Schur multiplier (H2) = C1 |
| direct product | C73×C9⋊#261 |
| unambiguous semidirect product | C9⋊(#261×C73) |
| Fitting, Hall | C9×C13×C73 ⋊ C4 |
| derived, Hall | C9×C13 ⋊ C4×C73 |
| Hall | C13×C73 ⋊ Dic9 |
| Hall | C9×C73 ⋊ #261 |
| Sylow | C13 ⋊ Dic9×C73 |
| Sylow | C9 ⋊ #261×C73 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8541 |
2847 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34164, 75);