Finite Group DatabasebetaFinite Group Databasebeta| order | 35244 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C3×C11×Dic267 |
| unambiguous semidirect product | C3⋊(C3×C11×Dic89) |
| derived | C3×C89 ⋊ C3×C4×C11 |
| Hall | C32×C11×C89 ⋊ C4 |
| Hall | C11×C89 ⋊ C3×Dic3 |
| Hall | C32×C89 ⋊ C4×C11 |
| Hall | C32×C11 ⋊ Dic89 |
| Sylow | C89 ⋊ C3×C11×Dic3 |
| Sylow | C32 ⋊ C11×Dic89 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11748 |
8910 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35244, 54);