Finite Group DatabasebetaFinite Group Databasebeta| order | 14508 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | Dic3×C13×C31⋊C3 |
| unambiguous semidirect product | C3⋊(C4×C13×C31⋊C3) |
| unambiguous semidirect product | (Dic3×C31)⋊(C3×C13) |
| derived | C3×C31 ⋊ C3×C4×C13 |
| Hall | C3×C13×C31⋊C3 ⋊ C4 |
| Hall | C13×C31 ⋊ C3×Dic3 |
| Hall | C3×C31⋊C3 ⋊ C4×C13 |
| Sylow | C31 ⋊ C3×Dic3×C13 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4836 |
1014 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14508, 95);