Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C3×C31×C9⋊C9 ⋊ C3 |
| Sylow | C31 ⋊ #10624527 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2511 |
Polycyclic presentation:
3^6,31|a^3=d,c^3=f^2,b^a=bc,c^a=ce,e^a=ef,g^a=g^25,c^b=cef,e^b=ef,g^b=g^251047 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 801);