Finite Group DatabasebetaFinite Group Databasebeta| order | 26010 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C289 · Schur multiplier (H2) = C1 |
| direct product | C3×D15×C289 |
| unambiguous semidirect product | C3⋊(C3×D5×C289) |
| unambiguous semidirect product | C5⋊(C3×D3×C289) |
| Fitting, Hall | C32×C5×C289 ⋊ C2 |
| derived | C3×C5 ⋊ C2×C3×C289 |
| Hall | C32×C289 ⋊ D5 |
| Hall | C5×C289 ⋊ C3×D3 |
| Hall | C32×C5 ⋊ C2×C289 |
| Sylow | C32 ⋊ D5×C289 |
| Sylow | C5 ⋊ C3×D3×C289 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8670 |
7803 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26010, 15);