Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C11⋊(D169⋊C9) |
| unambiguous semidirect product | (C169⋊C9)⋊D11 |
| unambiguous semidirect product | D1859⋊C9 |
| derived, Hall | C11×C169 ⋊ C2×C9 |
| Hall | C11×C169⋊C9 ⋊ C2 |
| Hall | D1859 ⋊ C9 |
| Hall | C169⋊C9 ⋊ D11 |
| Sylow | C169 ⋊ C9×D11 |
| Sylow | C11 ⋊ D169⋊C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16731 |
Polycyclic presentation:
2,3,11,13,3,13|b^3=e,d^13=f^12,c^a=c^10,d^a=d^12f,f^a=f^12,d^b=d^3f^2,f^b=f^3987 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 4);