Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C101 ⋊ #335 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=ce,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^10,g^b=g^100,g^d=g^100428 conjugacy classes — view the full character table.
| maximal subgroup of | #27186146, #27186147, #27186150, … |
| maximal normal subgroup of | #27186146, #27186147, #27186150, … |
| maximal quotient of | #27185962, #27186162, #27186164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1413);