Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×C49×C3⋊D57 |
| unambiguous semidirect product | (C2×C3)⋊(C49×D57) |
| unambiguous semidirect product | (C2×C19)⋊(C3⋊D3×C49) |
| Fitting | C2×C32×C19×C49 ⋊ C2 |
| derived, Hall | C32×C19 ⋊ C22×C49 |
| Hall | C32×C19×C49 ⋊ C22 |
| Hall | C19×C49 ⋊ C2×C3⋊D3 |
| Hall | C32×C49 ⋊ C2×D19 |
| Sylow | C19 ⋊ C2×C3⋊D3×C49 |
| Sylow | C32 ⋊ C2×D19×C49 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16758 |
8526 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 251);