Finite Group DatabasebetaFinite Group Databasebeta| order | 20230 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C289 · Schur multiplier (H2) = C1 |
| direct product | C5×D7×C289 |
| unambiguous semidirect product | C7⋊(C2×C5×C289) |
| Fitting, Hall | C5×C7×C289 ⋊ C2 |
| derived, Sylow | C7 ⋊ C2×C5×C289 |
| Hall | C7×C289 ⋊ C2×C5 |
| Hall | C5×C7 ⋊ C2×C289 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10115 |
7225 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20230, 3);