Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×C3⋊#10621721 |
| unambiguous semidirect product | C3⋊(C7×#10621721) |
| Fitting, Hall | C3×C7×C169 ⋊ C4 |
| derived, Hall | C3×C169 ⋊ C4×C7 |
| Hall | C7×C169 ⋊ Dic3 |
| Sylow | C169 ⋊ C7×Dic3 |
| Hall | C3×C7 ⋊ #10621721 |
| Sylow | C3 ⋊ C7×#10621721 |
36 conjugacy classes of subgroups.
924 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 52);