Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #344 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^100,d^b=df1022 conjugacy classes — view the full character table.
| maximal subgroup of | #344×D101, C2×#20264948, #27170931, … |
| maximal normal subgroup of | #344×D101, C2×#20264948, #27170931, … |
| maximal quotient of | #27168977, #27168979, #27168982, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 320);