Finite Group DatabasebetaFinite Group Databasebeta| order | 26950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C52×C49 · Schur multiplier (H2) = C5 |
| direct product | C52×D11×C49 |
| Fitting, Hall | C52×C11×C49 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C52×C49 |
| Hall | C11×C49 ⋊ C2×C52 |
| Hall | C52×C11 ⋊ C2×C49 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13475 |
8575 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26950, 22);