Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C27 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C31×C81⋊C3 ⋊ C3 |
| Sylow | C31 ⋊ #10624503 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
Polycyclic presentation:
3^6,31|a^3=d,d^3=e,e^3=f,b^a=bc,g^a=g^5,c^b=cf,g^b=g^251143 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 721);