Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C151⋊#338 |
| Sylow | C151 ⋊ #338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^1501522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067101, #34067102, #34067104, … |
| maximal normal subgroup of | #34067101, #34067102, #34067104, … |
| maximal quotient of | #34066940, #34066941, #34066981, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 307);