Finite Group DatabasebetaFinite Group Databasebeta| order | 14820 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C13×C19 · Schur multiplier (H2) = C1 |
| direct product | C5×Dic3×C13×C19 |
| unambiguous semidirect product | C3⋊(C4×C5×C13×C19) |
| derived, Sylow | C3 ⋊ C4×C5×C13×C19 |
| Hall | C3×C5×C13×C19 ⋊ C4 |
| Hall | C3×C13×C19 ⋊ C4×C5 |
| Hall | C3×C5×C19 ⋊ C4×C13 |
| Hall | C3×C5×C13 ⋊ C4×C19 |
| Hall | C3×C19 ⋊ C4×C5×C13 |
| Hall | C3×C13 ⋊ C4×C5×C19 |
| Hall | C3×C5 ⋊ C4×C13×C19 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14820 |
7410 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14820, 13);