Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C251 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
Polycyclic presentation:
2^6,251|a^2=f,b^a=bd,c^a=ce,g^a=g^250,e^b=ef,d^c=df2141 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552353, #44552354, #44552359, … |
| maximal normal subgroup of | #44552353, #44552354, #44552359, … |
| maximal quotient of | #44549351, #44549356, #44549362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 739);