Finite Group DatabasebetaFinite Group Databasebeta| order | 26010 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C289 · Schur multiplier (H2) = C1 |
| direct product | C5×D9×C289 |
| unambiguous semidirect product | C9⋊(C2×C5×C289) |
| Fitting, Hall | C5×C9×C289 ⋊ C2 |
| derived, Sylow | C9 ⋊ C2×C5×C289 |
| Hall | C9×C289 ⋊ C2×C5 |
| Hall | C5×C9 ⋊ C2×C289 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13005 |
8670 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26010, 5);