Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C31×#6879 ⋊ C3 |
| Sylow | C31 ⋊ #10624841 |
188 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2511 |
Polycyclic presentation:
3^6,31|b^3=e^2,c^3=f,d^3=f^2,b^a=bd,d^a=de,e^a=ef,c^b=cf,g^b=g^5,g^c=g^25407 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 3126);