Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #135×C151 ⋊ C2 |
| Sylow | C151 ⋊ #576 |
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,151|e^2=f,b^a=be,e^a=ef,e^b=ef,d^c=df,g^c=g^150,g^d=g^1501072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34071064, #34071068, #34071078, … |
| maximal normal subgroup of | #34071064, #34071068, #34071078, … |
| maximal quotient of | #34077632, #34077707, #34077937, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1351);