Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C31×#6897 ⋊ C3 |
| Sylow | C31 ⋊ #10624914 |
578 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
Polycyclic presentation:
3^6,31|a^3=f,c^3=e,b^a=be,c^a=cf,d^a=def,g^a=g^5,c^b=ce^2f,d^b=de,g^b=g^5,g^d=g^25599 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 3879);