Finite Group DatabasebetaFinite Group Databasebeta| order | 4864 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C19×#1744 ⋊ C2 |
| Sylow | C19 ⋊ #7666 |
438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
Polycyclic presentation:
2^8,19|a^2=e,c^2=fh,d^2=g,e^2=h,b^a=bd,d^a=df,c^b=ch,d^b=dg,e^b=efg,i^b=i^18778 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4864, 57952);