Finite Group DatabasebetaFinite Group Databasebeta| order | 22338 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C73 · Schur multiplier (H2) = C1 |
| direct product | C9×D17×C73 |
| unambiguous semidirect product | C17⋊(C2×C9×C73) |
| Fitting, Hall | C9×C17×C73 ⋊ C2 |
| derived, Sylow | C17 ⋊ C2×C9×C73 |
| Hall | C17×C73 ⋊ C2×C9 |
| Hall | C9×C17 ⋊ C2×C73 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11169 |
6570 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22338, 4);