Finite Group DatabasebetaFinite Group Databasebeta| order | 19380 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C17×C19 · Schur multiplier (H2) = C1 |
| direct product | C3×C17×C19×Dic5 |
| derived, Sylow | C5 ⋊ C3×C4×C17×C19 |
| Hall | C3×C5×C17×C19 ⋊ C4 |
| Hall | C5×C17×C19 ⋊ C3×C4 |
| Hall | C3×C5×C19 ⋊ C4×C17 |
| Hall | C3×C5×C17 ⋊ C4×C19 |
| Hall | C5×C19 ⋊ C3×C4×C17 |
| Hall | C5×C17 ⋊ C3×C4×C19 |
| Hall | C3×C5 ⋊ C4×C17×C19 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19380 |
7752 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19380, 6);