Finite Group DatabasebetaFinite Group Databasebeta| order | 14820 |
| isoclinism | isoclinic class of D19 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C5×C13×Dic19 |
| derived, Sylow | C19 ⋊ C3×C4×C5×C13 |
| Hall | C3×C5×C13×C19 ⋊ C4 |
| Hall | C5×C13×C19 ⋊ C3×C4 |
| Hall | C3×C13×C19 ⋊ C4×C5 |
| Hall | C3×C5×C19 ⋊ C4×C13 |
| Hall | C13×C19 ⋊ C3×C4×C5 |
| Hall | C5×C19 ⋊ C3×C4×C13 |
| Hall | C3×C19 ⋊ C4×C5×C13 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14820 |
4290 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14820, 6);