Finite Group DatabasebetaFinite Group Databasebeta| order | 4864 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C19 ⋊ #10234 |
576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4864 |
Polycyclic presentation:
2^8,19|a^2=g,b^2=g,c^2=h,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^18,c^b=cf,d^b=dg,i^b=i^18,e^c=eh,i^c=i^18388 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4864, 71907);