Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #481 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^100719 conjugacy classes — view the full character table.
| maximal subgroup of | #27170152, #27170153, #27170163, … |
| maximal normal subgroup of | #27170152, #27170153, #27170163, … |
| maximal quotient of | #27171220, #27171324, #27171450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 865);