Finite Group DatabasebetaFinite Group Databasebeta| order | 31950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C71 · Schur multiplier (H2) = C3 |
| direct product | C3⋊D3×C25×C71 |
| unambiguous semidirect product | C3⋊(D3×C25×C71) |
| Fitting, Hall | C32×C25×C71 ⋊ C2 |
| derived, Sylow | C32 ⋊ C2×C25×C71 |
| Hall | C32×C71 ⋊ C2×C25 |
| Hall | C32×C25 ⋊ C2×C71 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15975 |
10650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31950, 27);