Finite Group DatabasebetaFinite Group Databasebeta| order | 31950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C25 · Schur multiplier (H2) = C1 |
| direct product | C3×C25×D213 |
| unambiguous semidirect product | C3⋊(C3×C25×D71) |
| Fitting, Hall | C32×C25×C71 ⋊ C2 |
| derived | C3×C71 ⋊ C2×C3×C25 |
| Hall | C25×C71 ⋊ C3×D3 |
| Hall | C32×C71 ⋊ C2×C25 |
| Hall | C32×C25 ⋊ D71 |
| Sylow | C71 ⋊ C3×D3×C25 |
| Sylow | C32 ⋊ C25×D71 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10650 |
8100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31950, 24);