Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #106×C101 ⋊ C2 |
| Sylow | C101 ⋊ #360 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cef,d^b=df,e^b=ef,g^b=g^100716 conjugacy classes — view the full character table.
| maximal subgroup of | #360×D101, C2×#20264986, #27172866, … |
| maximal normal subgroup of | #360×D101, C2×#20264986, #27172866, … |
| maximal quotient of | #27169098, #27169101, #27169140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 358);