Finite Group DatabasebetaFinite Group Databasebeta| order | 29412 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | C43×#4294⋊C4 |
| unambiguous semidirect product | #4294⋊(C4×C43) |
| derived, Sylow | C19 ⋊ C4×C9×C43 |
| Hall | C43×#4294 ⋊ C4 |
| Hall | C43×Dic19 ⋊ C9 |
| Hall | C19×C43 ⋊ C4×C9 |
| Hall | #4294 ⋊ C4×C43 |
| Hall | Dic19 ⋊ C9×C43 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 29412 |
2322 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29412, 18);