Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C101 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^100,d^b=df1016 conjugacy classes — view the full character table.
| maximal subgroup of | #365×D101, C2×#20265000, #27172903, … |
| maximal normal subgroup of | #365×D101, C2×#20265000, #27172903, … |
| maximal quotient of | #27169198, #27169231, C2×#20265000 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 372);