Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #493 |
162 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^1001622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169168, #27169177, #27169179, … |
| maximal normal subgroup of | #27169168, #27169177, #27169179, … |
| maximal quotient of | #27170724, #27170738, #27170747, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 926);