Finite Group DatabasebetaFinite Group Databasebeta| order | 36162 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C41×C49 · Schur multiplier (H2) = C3 |
| direct product | C3⋊D3×C41×C49 |
| unambiguous semidirect product | C3⋊(D3×C41×C49) |
| Fitting, Hall | C32×C41×C49 ⋊ C2 |
| derived, Sylow | C32 ⋊ C2×C41×C49 |
| Hall | C32×C49 ⋊ C2×C41 |
| Hall | C32×C41 ⋊ C2×C49 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18081 |
12054 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36162, 29);