Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18012762 |
| Fitting | C2×Q16×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1078 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070816, #34070821, #34070858, … |
| maximal normal subgroup of | #34070816, #34070821, #34070858, … |
| maximal quotient of | C2×#23752207, C2×#23752249, C2×#23752294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1332);