Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C151 ⋊ C2 |
| Sylow | C151 ⋊ #481 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^150,e^c=ef,g^c=g^1501519 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34068131, #34068132, #34068143, … |
| maximal normal subgroup of | #34068131, #34068132, #34068143, … |
| maximal quotient of | #34069201, #34069305, #34069425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 868);