Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊(C151⋊C16) |
| Sylow | C151 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,d^2=e,e^2=f,b^a=bc,g^a=g^1502440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067033, #34067034, #34067035, … |
| maximal normal subgroup of | #34067033, #34067034, #34067035, … |
| maximal quotient of | #34067034, #34067050, D4⋊(C151⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 329);