Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #107×C151 ⋊ C2 |
| Sylow | C151 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^b=g^150,g^c=g^1501078 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070814, #34070816, #34070824, … |
| maximal normal subgroup of | #34070814, #34070816, #34070824, … |
| maximal quotient of | #34067857, #34067872, #34067889, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 586);