Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C101 ⋊ #419 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,b^2=f,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^100,c^b=cf,d^b=df1022 conjugacy classes — view the full character table.
| maximal subgroup of | #27171104, #27171107, #27171503, … |
| maximal normal subgroup of | #27171104, #27171107, #27171503, … |
| maximal quotient of | #27169527, #27169553, #27169579, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 558);