Finite Group DatabasebetaFinite Group Databasebeta| order | 1701 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
| direct product | C3×(C7⋊C9)⋊C9 |
| Sylow | C7 ⋊ C3×C9⋊C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1701 |
261 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1701, 160);