Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C251 ⋊ #520 |
294 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
Polycyclic presentation:
2^6,251|a^2=f,d^2=e,b^a=be,d^a=de,g^a=g^250,c^b=ce2534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44550589, #44550593, #44550596, … |
| maximal normal subgroup of | #44550589, #44550593, #44550596, … |
| maximal quotient of | #44552721, #44552726, #44552730, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1032);