Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C31×#6887 ⋊ C3 |
| Sylow | C31 ⋊ #10624585 |
256 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
Polycyclic presentation:
3^6,31|a^3=f,c^3=e,b^a=bd,d^a=de,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, 1074);