Finite Group DatabasebetaFinite Group Databasebeta| order | 37740 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C17×C37 · Schur multiplier (H2) = C1 |
| direct product | C3×C17×Dic5×C37 |
| derived, Sylow | C5 ⋊ C3×C4×C17×C37 |
| Hall | C3×C5×C17×C37 ⋊ C4 |
| Hall | C5×C17×C37 ⋊ C3×C4 |
| Hall | C3×C5×C37 ⋊ C4×C17 |
| Hall | C3×C5×C17 ⋊ C4×C37 |
| Hall | C5×C37 ⋊ C3×C4×C17 |
| Hall | C5×C17 ⋊ C3×C4×C37 |
| Hall | C3×C5 ⋊ C4×C17×C37 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 37740 |
15096 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37740, 6);