Finite Group DatabasebetaFinite Group Databasebeta| order | 14508 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#18012811 |
| derived, Hall | C13×C31 ⋊ C32×C4 |
| Hall | C3×#11925882 ⋊ C4 |
| Hall | C13×Dic31 ⋊ C32 |
| Hall | Dic31 ⋊ C3×C13⋊C3 |
| Sylow | C31 ⋊ C3×C4×C13⋊C3 |
| Sylow | C13 ⋊ C3×(C31⋊C3)⋊C4 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4836 |
474 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14508, 90);