Finite Group DatabasebetaFinite Group Databasebeta| order | 26010 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C17 · Schur multiplier (H2) = C1 |
| direct product | C9×C17×D85 |
| unambiguous semidirect product | C5⋊(C9×C17×D17) |
| unambiguous semidirect product | C17⋊(C9×D5×C17) |
| Fitting, Hall | C5×C9×C172 ⋊ C2 |
| derived | C5×C17 ⋊ C2×C9×C17 |
| Hall | C9×C172 ⋊ D5 |
| Hall | C5×C172 ⋊ C2×C9 |
| Sylow | C172 ⋊ C9×D5 |
| Hall | C5×C9 ⋊ C17×D17 |
| Sylow | C5 ⋊ C9×C17×D17 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1530 |
6732 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26010, 31);