Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C101 ⋊ #494 |
122 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=f,b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^100722 conjugacy classes — view the full character table.
| maximal subgroup of | #27169300, #27170264, #27170265, … |
| maximal normal subgroup of | #27169300, #27170264, #27170265, … |
| maximal quotient of | #27170727, #27170741, #27170749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 928);