Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #106×C101 ⋊ C2 |
| Sylow | C101 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^c=g^100728 conjugacy classes — view the full character table.
| maximal subgroup of | #27172866, #27172903, #427×D101, … |
| maximal normal subgroup of | #27172866, #27172903, #427×D101, … |
| maximal quotient of | #27169877, #27169892, #27169909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 584);