Finite Group DatabasebetaFinite Group Databasebeta| order | 24822 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×C9×C197⋊C7 |
| unambiguous semidirect product | (C2×C197)⋊(C7×C9) |
| unambiguous semidirect product | (C2×C9×C197)⋊C7 |
| Fitting, Hall | C2×C9×C197 ⋊ C7 |
| derived, Sylow | C197 ⋊ C2×C7×C9 |
| Hall | C9×C197 ⋊ C2×C7 |
| Hall | C2×C197 ⋊ C7×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3546 |
630 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24822, 2);