Finite Group DatabasebetaFinite Group Databasebeta| order | 31458 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×C49×D107 |
| unambiguous semidirect product | C107⋊(C2×C3×C49) |
| Fitting, Hall | C3×C49×C107 ⋊ C2 |
| derived, Sylow | C107 ⋊ C2×C3×C49 |
| Hall | C49×C107 ⋊ C2×C3 |
| Hall | C3×C107 ⋊ C2×C49 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15729 |
8085 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31458, 3);