Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C151 ⋊ C2 |
| Sylow | C151 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^1502440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067251, #34067253, #34070945, … |
| maximal normal subgroup of | #34067251, #34067253, #34070945, … |
| maximal quotient of | #34070705, #34070706, #34070722, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 965);