Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C251 ⋊ #477 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
Polycyclic presentation:
2^6,251|a^2=df,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^2501769 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44549484, #44549485, #44549489, … |
| maximal normal subgroup of | #44549484, #44549485, #44549489, … |
| maximal quotient of | #44550367, #44550618, #44550954, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 841);