Finite Group DatabasebetaFinite Group Databasebeta| order | 35217 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C13×C43 · Schur multiplier (H2) = C1 |
| direct product | C13×C43×C7⋊C9 |
| unambiguous semidirect product | C7⋊(C9×C13×C43) |
| derived, Sylow | C7 ⋊ C9×C13×C43 |
| Hall | C7×C13×C43 ⋊ C9 |
| Hall | C7×C43 ⋊ C9×C13 |
| Hall | C7×C13 ⋊ C9×C43 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 35217 |
8385 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35217, 7);