Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C92 |
| unambiguous semidirect product | C31⋊H(3,ℤ/9) |
| Sylow | C31 ⋊ H(3,ℤ/9) |
174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2511 |
Polycyclic presentation:
3^6,31|a^3=d,b^3=e,c^3=f^2,b^a=bc,e^a=ef^2,d^b=df,g^b=g^251095 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 562);