Finite Group DatabasebetaFinite Group Databasebeta| order | 33418 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C31×C49 · Schur multiplier (H2) = C1 |
| direct product | D11×C31×C49 |
| unambiguous semidirect product | C11⋊(C2×C31×C49) |
| Fitting, Hall | C11×C31×C49 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C31×C49 |
| Hall | C11×C49 ⋊ C2×C31 |
| Hall | C11×C31 ⋊ C2×C49 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16709 |
10633 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33418, 3);