Finite Group DatabasebetaFinite Group Databasebeta| order | 20970 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×D233 |
| unambiguous semidirect product | C233⋊(C2×C5×C9) |
| Fitting, Hall | C5×C9×C233 ⋊ C2 |
| derived, Sylow | C233 ⋊ C2×C5×C9 |
| Hall | C9×C233 ⋊ C2×C5 |
| Hall | C5×C233 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10485 |
5310 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20970, 2);