Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C101 ⋊ #330 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=e,c^2=f,d^2=e,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 | #330×D101, C2×#20264919, #27169719, … |
| maximal normal subgroup of | #330×D101, C2×#20264919, #27169719, … |
| maximal quotient of | #27168955, #27169013, C2×#20264919 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 291);