Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C31×#6869 ⋊ C3 |
| Sylow | C31 ⋊ #10624511 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2511 |
Polycyclic presentation:
3^6,31|a^3=d,d^3=f^2,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=df^2,g^b=g^25567 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 743);