Finite Group DatabasebetaFinite Group Databasebeta| order | 35724 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×Dic229⋊C3 |
| unambiguous semidirect product | Dic229⋊(C3×C13) |
| derived, Sylow | C229 ⋊ C3×C4×C13 |
| Hall | C13×Dic229 ⋊ C3 |
| Hall | C13×C229⋊C3 ⋊ C4 |
| Hall | C13×C229 ⋊ C3×C4 |
| Hall | Dic229 ⋊ C3×C13 |
| Hall | C229⋊C3 ⋊ C4×C13 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11908 |
1144 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35724, 13);