Finite Group DatabasebetaFinite Group Databasebeta| order | 17739 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#20238271 |
| Fitting | C32×C9×C73 ⋊ C3 |
| Sylow | C73 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5913 |
1995 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17739, 249);