Finite Group DatabasebetaFinite Group Databasebeta| order | 14964 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | D87⋊D43 |
| unambiguous semidirect product | D129⋊D29 |
| unambiguous semidirect product | D1247⋊D3 |
| Fitting, socle, derived, Hall | C3×C29×C43 ⋊ C22 |
| Hall | C29×C43 ⋊ C2×D3 |
| Hall | C3×C43 ⋊ C2×D29 |
| Hall | C3×C29 ⋊ C2×D43 |
| Sylow | C43 ⋊ D3×D29 |
| Sylow | C29 ⋊ D3×D43 |
| Sylow | C3 ⋊ D29×D43 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C29×C43 | C22 |
| LCS | G ▷ C3×C29×C43 | |
| UCS | C1 | |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3741 |
Polycyclic presentation:
2^2,3,29,43|d^a=d^28,e^a=e^42,c^b=c^2,d^b=d^28993 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14964, 30);