Finite Group DatabasebetaFinite Group Databasebeta| order | 37548 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic1341 |
| unambiguous semidirect product | C9⋊(C7×Dic149) |
| derived, Hall | C9×C149 ⋊ C4×C7 |
| Hall | C7×C9×C149 ⋊ C4 |
| Hall | C7×C149 ⋊ Dic9 |
| Sylow | C149 ⋊ C7×Dic9 |
| Hall | C7×C9 ⋊ Dic149 |
| Sylow | C9 ⋊ C7×Dic149 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 37548 |
9408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37548, 7);