Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C151 ⋊ #352 |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=f,b^a=bc,c^a=ce,e^a=ef,d^b=de,g^b=g^150,d^c=df838 conjugacy classes — view the full character table.
| maximal subgroup of | #352×D151, C2×#23752001, #34070748, … |
| maximal normal subgroup of | #352×D151, C2×#23752001, #34070748, … |
| maximal quotient of | #34067039, #34067059, #34067109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 338);