Finite Group DatabasebetaFinite Group Databasebeta| order | 37548 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×C7⋊#10597010 |
| Fitting, Hall | C7×C9×C149 ⋊ C4 |
| derived, Hall | C7×C149 ⋊ C4×C9 |
| Hall | C9×C149 ⋊ Dic7 |
| Sylow | C149 ⋊ C9×Dic7 |
| Hall | C7×C9 ⋊ #10597010 |
| Sylow | C7 ⋊ C9×#10597010 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9387 |
2421 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37548, 21);