Finite Group DatabasebetaFinite Group Databasebeta| order | 17739 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C73×#733 ⋊ C3 |
| Sylow | C73 ⋊ #6878 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1971 |
Polycyclic presentation:
3^5,73|b^3=d^2,c^3=e^2,b^a=bc,c^a=cd,d^a=de,f^a=f^8,f^b=f^64443 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17739, 133);