Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C9×3−1+2×C31 ⋊ C3 |
| Sylow | C31 ⋊ #10624864 |
926 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
Polycyclic presentation:
3^6,31|a^3=f,d^3=e,b^a=be,d^a=de,c^b=ce,g^b=g^5,g^d=g^251239 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 3297);