Finite Group DatabasebetaFinite Group Databasebeta| order | 36162 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×C49×D123 |
| unambiguous semidirect product | C3⋊(C3×C49×D41) |
| unambiguous semidirect product | C41⋊(C3×D3×C49) |
| Fitting, Hall | C32×C41×C49 ⋊ C2 |
| derived | C3×C41 ⋊ C2×C3×C49 |
| Hall | C41×C49 ⋊ C3×D3 |
| Hall | C32×C49 ⋊ D41 |
| Hall | C32×C41 ⋊ C2×C49 |
| Sylow | C41 ⋊ C3×D3×C49 |
| Sylow | C32 ⋊ C49×D41 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12054 |
9261 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36162, 26);