Finite Group DatabasebetaFinite Group Databasebeta| order | 19044 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D529 |
| unambiguous semidirect product | C529⋊(C22×C9) |
| unambiguous semidirect product | (C2×C529)⋊(C2×C9) |
| Fitting | C2×C9×C529 ⋊ C2 |
| derived, Sylow | C529 ⋊ C22×C9 |
| Hall | C9×C529 ⋊ C22 |
45 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9522 |
4788 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19044, 8);