Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C101 ⋊ #451 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=f,b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^100719 conjugacy classes — view the full character table.
| maximal subgroup of | #27170089, #27170090, #27170095, … |
| maximal normal subgroup of | #27170089, #27170090, #27170095, … |
| maximal quotient of | #27170088, #27170105, #27170156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 704);