Finite Group DatabasebetaFinite Group Databasebeta| order | 34164 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C4×#22555440 |
| Fitting, Hall | C4×C13×C73 ⋊ C9 |
| derived, Hall | C13×C73 ⋊ C4×C9 |
| Hall | C4×C73 ⋊ C13⋊C9 |
| Sylow | C73 ⋊ C4×C13⋊C9 |
| Hall | C4×C13 ⋊ #10620323 |
| Sylow | C13 ⋊ C4×#10620323 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3796 |
500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34164, 116);