Finite Group DatabasebetaFinite Group Databasebeta| order | 17739 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C73 ⋊ #6860 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5913 |
Polycyclic presentation:
3^5,73|a^3=d,b^3=d^2,b^a=bc,c^a=cd,c^b=ce,f^b=f^8827 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17739, 82);