Finite Group DatabasebetaFinite Group Databasebeta| order | 15300 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic1275 |
| unambiguous semidirect product | C3⋊(C3×Dic425) |
| derived | C3×C17×C25 ⋊ C3×C4 |
| Hall | C32×C17×C25 ⋊ C4 |
| Hall | C17×C25 ⋊ C3×Dic3 |
| Hall | C32×C25 ⋊ Dic17 |
| Hall | C32×C17 ⋊ Dic25 |
| Sylow | C25 ⋊ C3×Dic51 |
| Sylow | C17 ⋊ C3×Dic75 |
| Sylow | C32 ⋊ Dic425 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5100 |
3834 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15300, 44);