Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #461 |
120 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=f,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^100,e^c=ef,g^c=g^1001019 conjugacy classes — view the full character table.
| maximal subgroup of | #27170312, #27170314, #27170333, … |
| maximal normal subgroup of | #27170312, #27170314, #27170333, … |
| maximal quotient of | #27170508, #27170522, #27170532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 755);