Finite Group DatabasebetaFinite Group Databasebeta| order | 23940 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C9×C19 · Schur multiplier (H2) = C2 |
| direct product | C22×C5×C19×C7⋊C9 |
| derived, Sylow | C7 ⋊ C22×C5×C9×C19 |
| Hall | C22×C5×C7×C19 ⋊ C9 |
| Hall | C5×C7×C19 ⋊ C22×C9 |
| Hall | C22×C7×C19 ⋊ C5×C9 |
| Hall | C22×C5×C7 ⋊ C9×C19 |
| Hall | C7×C19 ⋊ C22×C5×C9 |
| Hall | C5×C7 ⋊ C22×C9×C19 |
| Hall | C22×C7 ⋊ C5×C9×C19 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23940 |
5700 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23940, 172);