Finite Group DatabasebetaFinite Group Databasebeta| order | 19074 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C289 · Schur multiplier (H2) = C1 |
| direct product | C3×D11×C289 |
| unambiguous semidirect product | C11⋊(C2×C3×C289) |
| Fitting, Hall | C3×C11×C289 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C3×C289 |
| Hall | C11×C289 ⋊ C2×C3 |
| Hall | C3×C11 ⋊ C2×C289 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9537 |
6069 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D11×D289, D3×D11×C289, D11×D867, … |
| maximal normal subgroup of | C3×D11×D289, D3×D11×C289, D11×D867, … |
| maximal quotient of | C3×Dic11×C289, C2×C3×D11×C289 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19074, 3);