Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #323 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,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 | #323×D101, C2×#20264900, #27169444, … |
| maximal normal subgroup of | #323×D101, C2×#20264900, #27169444, … |
| maximal quotient of | #27168952, #27168957, #27168974, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 272);