Finite Group DatabasebetaFinite Group Databasebeta| order | 31356 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×Dic67⋊C9 |
| unambiguous semidirect product | Dic67⋊(C9×C13) |
| unambiguous semidirect product | (C67⋊C9)⋊(C4×C13) |
| derived, Sylow | C67 ⋊ C4×C9×C13 |
| Hall | C13×C67⋊C9 ⋊ C4 |
| Hall | C13×Dic67 ⋊ C9 |
| Hall | C13×C67 ⋊ C4×C9 |
| Hall | C67⋊C9 ⋊ C4×C13 |
| Hall | Dic67 ⋊ C9×C13 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31356 |
1326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31356, 13);