Finite Group DatabasebetaFinite Group Databasebeta| order | 31086 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C157 · Schur multiplier (H2) = C1 |
| direct product | C9×D11×C157 |
| unambiguous semidirect product | C11⋊(C2×C9×C157) |
| Fitting, Hall | C9×C11×C157 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C9×C157 |
| Hall | C11×C157 ⋊ C2×C9 |
| Hall | C9×C11 ⋊ C2×C157 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15543 |
9891 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31086, 4);