Finite Group DatabasebetaFinite Group Databasebeta| order | 1701 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C3×(C3×ΓL(1,𝔽8))⋊C9 |
| Fitting | C32×C7×C9 ⋊ C3 |
| Sylow | C7 ⋊ C3×C32⋊C9 |
288 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, 157);