Finite Group DatabasebetaFinite Group Databasebeta| order | 4864 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C19×#2905 ⋊ C2 |
| Sylow | C19 ⋊ #9035 |
612 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^8,19|a^2=f,b^2=dfg,d^2=g,f^2=gh,b^a=bd,c^a=ce,e^a=eh,i^a=i^18,d^b=dg,e^b=eh,f^b=fg,d^c=dh,f^c=fh442 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4864, 64667);