Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | #125×C101 ⋊ C2 |
| Sylow | C101 ⋊ #490 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^100,c^b=cf,g^b=g^100,g^c=g^100716 conjugacy classes — view the full character table.
| maximal subgroup of | #27170425, #27170427, #27170430, … |
| maximal normal subgroup of | #27170425, #27170427, #27170430, … |
| maximal quotient of | #27171265, #27171828, #27171955, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 915);