Finite Group DatabasebetaFinite Group Databasebeta| order | 26950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C49 · Schur multiplier (H2) = C1 |
| direct product | C5×C49×D55 |
| unambiguous semidirect product | C5⋊(C5×D11×C49) |
| Fitting, Hall | C52×C11×C49 ⋊ C2 |
| derived | C5×C11 ⋊ C2×C5×C49 |
| Hall | C52×C49 ⋊ D11 |
| Hall | C11×C49 ⋊ C5×D5 |
| Hall | C52×C11 ⋊ C2×C49 |
| Sylow | C52 ⋊ D11×C49 |
| Sylow | C11 ⋊ C5×D5×C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5390 |
7105 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26950, 26);