Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C251 ⋊ #489 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
Polycyclic presentation:
2^6,251|b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,c^b=cf,g^c=g^2501766 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #489×D251, C2×#30632045, #44560708, … |
| maximal normal subgroup of | #489×D251, C2×#30632045, #44560708, … |
| maximal quotient of | #44550497, #44551053, #44551056, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 907);