Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C151 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^150,c^b=cf,d^b=df1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D151, C2×#23751996, #34070736, … |
| maximal normal subgroup of | #350×D151, C2×#23751996, #34070736, … |
| maximal quotient of | #34067036, #34067052, D4⋊(C151⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 333);