Finite Group DatabasebetaFinite Group Databasebeta| order | 29412 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×(C43⋊C3)⋊Dic19 |
| unambiguous semidirect product | (C43⋊C3)⋊(C3×Dic19) |
| derived, Hall | C19×C43 ⋊ C32×C4 |
| Hall | C3×C19×C43⋊C3 ⋊ C4 |
| Hall | Dic817 ⋊ C32 |
| Hall | C3×C43⋊C3 ⋊ Dic19 |
| Sylow | C43 ⋊ C32×Dic19 |
| Sylow | C19 ⋊ C3×(C43⋊C3)⋊C4 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9804 |
996 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29412, 92);