Finite Group DatabasebetaFinite Group Databasebeta| order | 31790 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11×C289 · Schur multiplier (H2) = C1 |
| direct product | D5×C11×C289 |
| unambiguous semidirect product | C5⋊(C2×C11×C289) |
| Fitting, Hall | C5×C11×C289 ⋊ C2 |
| derived, Sylow | C5 ⋊ C2×C11×C289 |
| Hall | C5×C289 ⋊ C2×C11 |
| Hall | C5×C11 ⋊ C2×C289 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15895 |
12716 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31790, 9);