Finite Group DatabasebetaFinite Group Databasebeta| order | 23940 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C9×C19 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×C19×Dic5 |
| derived, Sylow | C5 ⋊ C4×C7×C9×C19 |
| Hall | C5×C7×C9×C19 ⋊ C4 |
| Hall | C5×C9×C19 ⋊ C4×C7 |
| Hall | C5×C7×C19 ⋊ C4×C9 |
| Hall | C5×C7×C9 ⋊ C4×C19 |
| Hall | C5×C19 ⋊ C4×C7×C9 |
| Hall | C5×C9 ⋊ C4×C7×C19 |
| Hall | C5×C7 ⋊ C4×C9×C19 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23940 |
9576 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23940, 9);