Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C251 ⋊ #444 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
Polycyclic presentation:
2^6,251|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^250,d^b=df,g^c=g^2501772 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552253, #44552257, #44552260, … |
| maximal normal subgroup of | #44552253, #44552257, #44552260, … |
| maximal quotient of | SD16⋊(C251⋊C8), #44549184, #44549189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 671);