Finite Group DatabasebetaFinite Group Databasebeta| order | 16434 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C83 · Schur multiplier (H2) = C1 |
| direct product | C9×D11×C83 |
| unambiguous semidirect product | C11⋊(C2×C9×C83) |
| Fitting, Hall | C9×C11×C83 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C9×C83 |
| Hall | C11×C83 ⋊ C2×C9 |
| Hall | C9×C11 ⋊ C2×C83 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8217 |
5229 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D11×D83, D9×D11×C83, D11×D747, … |
| maximal normal subgroup of | C9×D11×D83, D9×D11×C83, D11×D747, … |
| maximal quotient of | C9×Dic11×C83, C2×C9×D11×C83 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16434, 3);