Finite Group DatabasebetaFinite Group Databasebeta| order | 31356 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C13×Dic201 |
| unambiguous semidirect product | C3⋊(C3×C13×Dic67) |
| derived | C3×C67 ⋊ C3×C4×C13 |
| Hall | C32×C13×C67 ⋊ C4 |
| Hall | C13×C67 ⋊ C3×Dic3 |
| Hall | C32×C67 ⋊ C4×C13 |
| Hall | C32×C13 ⋊ Dic67 |
| Sylow | C67 ⋊ C3×Dic3×C13 |
| Sylow | C32 ⋊ C13×Dic67 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10452 |
7956 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31356, 120);