Finite Group DatabasebetaFinite Group Databasebeta| order | 26334 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×C11×D19 |
| Fitting, Hall | C7×C9×C11×C19 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C7×C9×C11 |
| Hall | C9×C11×C19 ⋊ C2×C7 |
| Hall | C7×C11×C19 ⋊ C2×C9 |
| Hall | C7×C9×C19 ⋊ C2×C11 |
| Hall | C11×C19 ⋊ C2×C7×C9 |
| Hall | C9×C19 ⋊ C2×C7×C11 |
| Hall | C7×C19 ⋊ C2×C9×C11 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13167 |
7623 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26334, 6);