Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C251 ⋊ #433 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
Polycyclic presentation:
2^6,251|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^250,c^b=cf2528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #433×D251, C2×#30631748, #44558999, … |
| maximal normal subgroup of | #433×D251, C2×#30631748, #44558999, … |
| maximal quotient of | #44550117, #44550131, #44550222, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 610);