Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C101 ⋊ #492 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^100722 conjugacy classes — view the full character table.
| maximal subgroup of | #27169296, #27170202, #27170203, … |
| maximal normal subgroup of | #27169296, #27170202, #27170203, … |
| maximal quotient of | #27170718, #27170721, #27170726, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 921);