Finite Group DatabasebetaFinite Group Databasebeta| order | 29412 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C43 · Schur multiplier (H2) = C2 |
| direct product | C43×C22⋊#4294 |
| unambiguous semidirect product | C22⋊(C43×#4294) |
| derived, Hall | C22×C19 ⋊ C9×C43 |
| Hall | C22×C19×C43 ⋊ C9 |
| Hall | C19×C43 ⋊ C22⋊C9 |
| Hall | C22×C43 ⋊ #4294 |
| Sylow | C19 ⋊ C22⋊C9×C43 |
| Sylow | C22 ⋊ C43×#4294 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14706 |
3612 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29412, 51);