Finite Group DatabasebetaFinite Group Databasebeta| order | 26550 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C52×C9 · Schur multiplier (H2) = C5 |
| direct product | C52×C9×D59 |
| unambiguous semidirect product | C59⋊(C2×C52×C9) |
| Fitting, Hall | C52×C9×C59 ⋊ C2 |
| derived, Sylow | C59 ⋊ C2×C52×C9 |
| Hall | C52×C59 ⋊ C2×C9 |
| Hall | C9×C59 ⋊ C2×C52 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13275 |
6975 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26550, 28);