Finite Group DatabasebetaFinite Group Databasebeta| order | 9405 |
| automorphism | ? |
| homology | Abelianization (H1) = C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C11⋊C5×#4296 |
| unambiguous semidirect product | C11⋊(C5×#4296) |
| unambiguous semidirect product | (C11×#4296)⋊C5 |
| Fitting, socle, derived, Hall | C11×C19 ⋊ C5×C9 |
| Hall | C11×#4296 ⋊ C5 |
| Hall | C19×C11⋊C5 ⋊ C9 |
| Sylow | C19 ⋊ C9×C11⋊C5 |
| Sylow | C11 ⋊ C5×#4296 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C11×C19 | C5×C9 |
| LCS | G ▷ C11×C19 | |
| UCS | C1 | |
24 conjugacy classes of subgroups.
77 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9405, 6);