Finite Group DatabasebetaFinite Group Databasebeta| order | 26586 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×C9×C211⋊C7 |
| unambiguous semidirect product | (C2×C9×C211)⋊C7 |
| Fitting, Hall | C2×C9×C211 ⋊ C7 |
| derived, Sylow | C211 ⋊ C2×C7×C9 |
| Hall | C9×C211 ⋊ C2×C7 |
| Hall | C2×C211 ⋊ C7×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3798 |
666 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26586, 2);