Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C101 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^100,d^b=df1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27170967, #27170970, #27170974, … |
| maximal normal subgroup of | #27170967, #27170970, #27170974, … |
| maximal quotient of | #27169514, #27169540, #27169566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 545);