Finite Group DatabasebetaFinite Group Databasebeta| order | 31434 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C169 · Schur multiplier (H2) = C1 |
| direct product | C2×C31⋊C3×C169 |
| unambiguous semidirect product | (C2×C31)⋊(C3×C169) |
| Fitting, Hall | C2×C31×C169 ⋊ C3 |
| derived, Sylow | C31 ⋊ C2×C3×C169 |
| Hall | C31×C169 ⋊ C2×C3 |
| Hall | C2×C31 ⋊ C3×C169 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10478 |
4394 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31434, 2);