Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C9 |
No aliases for this group.
| Fitting | C31×#6864 ⋊ C3 |
| Sylow | C31 ⋊ #10624539 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2511 |
Polycyclic presentation:
3^6,31|b^3=d^2e,c^3=e^2f,d^3=f^2,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^25,c^b=cf1031 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 843);