Finite Group DatabasebetaFinite Group Databasebeta| order | 1701 |
| isoclinism | isoclinic class of #4427 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C32×#4430 |
| Sylow | C7 ⋊ C32×3−1+2 |
576 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, 299);