Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C251 ⋊ #499 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
Polycyclic presentation:
2^6,251|a^2=d,b^2=df,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^2501772 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552539, #44552540, #499×D251, … |
| maximal normal subgroup of | #44552539, #44552540, #499×D251, … |
| maximal quotient of | #44550526, #44551091, #44551094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 949);