Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C101 ⋊ #333 |
64 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=f,c^2=f,d^2=ef,b^a=bc,c^a=ce,g^a=g^100,c^b=cf,d^b=def719 conjugacy classes — view the full character table.
| maximal subgroup of | #27169285, #27169286, #333×D101, … |
| maximal normal subgroup of | #27169285, #27169286, #333×D101, … |
| maximal quotient of | #27168958, #27169015, #27169193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 298);