Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #101×C151 ⋊ C2 |
| Sylow | C151 ⋊ #413 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,e^b=ef,g^b=g^150,g^c=g^150847 conjugacy classes — view the full character table.
| maximal subgroup of | #34070792, #34070794, #34070800, … |
| maximal normal subgroup of | #34070792, #34070794, #34070800, … |
| maximal quotient of | #34067423, #34067427, #34067443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 532);