Finite Group DatabasebetaFinite Group Databasebeta| order | 17091 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C3×C9×C211 ⋊ C3 |
| Sylow | C211 ⋊ #732 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5697 |
Polycyclic presentation:
3^4,211|b^3=d^2,b^a=bc,c^a=cd,e^a=e^1961907 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17091, 35);