Finite Group DatabasebetaFinite Group Databasebeta| order | 1701 |
| isoclinism | isoclinic class of #4427 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C9×#4428 |
| Fitting | C7×C92 ⋊ C3 |
| Sylow | C7 ⋊ C9×3−1+2 |
148 conjugacy classes of subgroups.
| transitive degree | μt(G) = 567 |
261 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1701, 174);