Finite Group DatabasebetaFinite Group Databasebeta| order | 36414 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | C7⋊C9×D289 |
| unambiguous semidirect product | C289⋊(C2×C7⋊C9) |
| unambiguous semidirect product | (C7×D289)⋊C9 |
| derived, Hall | C7×C289 ⋊ C2×C9 |
| Hall | C7⋊C9×C289 ⋊ C2 |
| Hall | C7×D289 ⋊ C9 |
| Sylow | C289 ⋊ C2×C7⋊C9 |
| Sylow | C7 ⋊ C9×D289 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18207 |
2190 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36414, 2);