Finite Group DatabasebetaFinite Group Databasebeta| order | 31977 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C11×C17 · Schur multiplier (H2) = C1 |
| direct product | C11×C17×#4294 |
| derived, Sylow | C19 ⋊ C9×C11×C17 |
| Hall | C11×C17×C19 ⋊ C9 |
| Hall | C17×C19 ⋊ C9×C11 |
| Hall | C11×C19 ⋊ C9×C17 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31977 |
5049 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31977, 2);