Finite Group DatabasebetaFinite Group Databasebeta| order | 31950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C25 · Schur multiplier (H2) = C1 |
| direct product | C3×D3×C71⋊C25 |
| unambiguous semidirect product | C3⋊(C2×C3×C71⋊C25) |
| unambiguous semidirect product | (D3×C71)⋊(C3×C25) |
| unambiguous semidirect product | (C3×D3×C71)⋊C25 |
| derived | C3×C71 ⋊ C2×C3×C25 |
| Hall | C32×C71⋊C25 ⋊ C2 |
| Hall | C3×D3×C71 ⋊ C25 |
| Hall | C32×C71 ⋊ C2×C25 |
| Sylow | C71 ⋊ C3×D3×C25 |
| Sylow | C32 ⋊ C2×C71⋊C25 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10650 |
855 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31950, 16);