Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #473 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=f,b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^100,e^c=ef1016 conjugacy classes — view the full character table.
| maximal subgroup of | #27173103, #27173105, #27173110, … |
| maximal normal subgroup of | #27173103, #27173105, #27173110, … |
| maximal quotient of | #27170497, #27170502, #27170521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 824);