Finite Group DatabasebetaFinite Group Databasebeta| order | 17739 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C27×C73 ⋊ C9 |
| Sylow | C73 ⋊ #6864 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1971 |
Polycyclic presentation:
3^5,73|a^3=c,b^3=d,c^3=e,b^a=be,f^b=f^4,f^d=f^64315 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17739, 315);