Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×Q16×C251 ⋊ C2 |
| Sylow | C251 ⋊ #495 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
Polycyclic presentation:
2^6,251|b^2=d,c^2=ef,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^250,g^b=g^250,g^c=g^2501772 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552422, #44552423, #44552429, … |
| maximal normal subgroup of | #44552422, #44552423, #44552429, … |
| maximal quotient of | #44549958, #44549959, #44549968, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 934);