Finite Group DatabasebetaFinite Group Databasebeta| order | 23940 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C7×C9×Dic19 |
| derived, Sylow | C19 ⋊ C4×C5×C7×C9 |
| Hall | C5×C7×C9×C19 ⋊ C4 |
| Hall | C7×C9×C19 ⋊ C4×C5 |
| Hall | C5×C9×C19 ⋊ C4×C7 |
| Hall | C5×C7×C19 ⋊ C4×C9 |
| Hall | C9×C19 ⋊ C4×C5×C7 |
| Hall | C7×C19 ⋊ C4×C5×C9 |
| Hall | C5×C19 ⋊ C4×C7×C9 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23940 |
6930 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23940, 6);