Finite Group DatabasebetaFinite Group Databasebeta| order | 34164 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#14581484 |
| derived, Sylow | C73 ⋊ C4×C9×C13 |
| Hall | C13×#10620323 ⋊ C4 |
| Hall | C13×Dic73 ⋊ C9 |
| Hall | C13×C73 ⋊ C4×C9 |
| Hall | #10620323 ⋊ C4×C13 |
| Hall | Dic73 ⋊ C9×C13 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3796 |
572 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34164, 102);