Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #127×C151 ⋊ C2 |
| Sylow | C151 ⋊ #453 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^150,d^c=df1066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067254, #34067256, #34071094, … |
| maximal normal subgroup of | #34067254, #34067256, #34071094, … |
| maximal quotient of | #34068027, #34068032, #34068054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 716);