Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #474 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^100,e^c=ef719 conjugacy classes — view the full character table.
| maximal subgroup of | #474×D101, C2×#20265455, #27180916, … |
| maximal normal subgroup of | #474×D101, C2×#20265455, #27180916, … |
| maximal quotient of | #27171130, #27171377, #27171381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 827);