Finite Group DatabasebetaFinite Group Databasebeta| order | 29412 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×C4×#14578575 |
| Fitting | C3×C4×C19×C43 ⋊ C3 |
| derived, Hall | C19×C43 ⋊ C32×C4 |
| Hall | C4×C19×C43 ⋊ C32 |
| Hall | C4×C43 ⋊ C3×C19⋊C3 |
| Hall | C4×C19 ⋊ C3×C43⋊C3 |
| Sylow | C43 ⋊ C3×C4×C19⋊C3 |
| Sylow | C19 ⋊ C3×C4×C43⋊C3 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9804 |
3300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29412, 111);