Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C101 ⋊ #410 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,c^2=f,b^a=bd,d^a=df,g^a=g^100,e^b=ef1022 conjugacy classes — view the full character table.
| maximal subgroup of | #27169252, #27169253, #27169261, … |
| maximal normal subgroup of | #27169252, #27169253, #27169261, … |
| maximal quotient of | #27169446, #27169453, #27169456, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 523);