Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #324 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,d^b=de,g^b=g^1001022 conjugacy classes — view the full character table.
| maximal subgroup of | #324×D101, C2×#20264902, #27169443, … |
| maximal normal subgroup of | #324×D101, C2×#20264902, #27169443, … |
| maximal quotient of | #27168954, #27168956, #27168974, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 274);