Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C251 ⋊ #456 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
Polycyclic presentation:
2^6,251|a^2=f,c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^250,d^b=df,e^b=ef,d^c=df2141 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552384, #44552385, #44552389, … |
| maximal normal subgroup of | #44552384, #44552385, #44552389, … |
| maximal quotient of | #44549328, #44549334, #44549339, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 732);